006372   Bhat P G;Devadas Nayak C (Mathematics Dep, Manipal Institute of Technology, Manipal University, Manipal-576 104, Email: pgbhat@rediff.com) : Friendly index sets and friendly index numbers of some graphs. Int J mathl Combinatorics 2014, 3(Sep), 55-69.

Let G be a graph with vertex set V(G) and edge set E(G). Consider the set A={0,1}. A labeling ƒ:V(G)→A, induces a partial edge labeling ƒ^{*:E(G)→A, defined by ƒ*(xy) =ƒ(x) if and only if ƒ(x) =ƒ(y) for each edge xy ∈E(G). For I ∈A, let v_ƒ(i) = <157>{v∈V(G) :ƒ(v) =i}<157> and we denote eBƒ*(i) = <157>{e∈E(G) : ƒ*(e) = i}<157>. In this paper we define friendly index number(FIN) and full friendly index number(FFIN) of graph Gas the cardinality of the distinct elements of friendly index set and full friendly index set respectively and obtaining these numbers along with their sets of some families graphs.}

4 illus, 4 tables, 7 ref

006371   Basavanagoud B;Kulli V R;Teli V V (Mathematics Dep, Karnatak University, Dharwa, Email: b.basavanagoud@gmail.com) : Semientire equitable dominating graphs. Int J mathl Combinatorics 2014, 3(Sep), 49-54.

Semientire equitable dominating graph SE_qqD(G) of a graph G= (V, E) is the graph with vertex set V∪S, where S is the collection of all minimal equitable dominating sets of G and with two vertices u, v∈V∪S adjacent if u, v∈D, where D is the minimal equitable dominating set or u∈V(G) and v=D is a minimal equitable dominating set of G containing u. In this paper, some necessary and sufficient conditions are given for SE_qD(G) to be connected and Eulerian. Finally, some bounds on domination number of SE_qD(G) are obtained in terms of vertices and edges of G.

1 illus, 8 ref

006370   Aldweby H;Darus M (School of Mathematical Sciences, Faculty of Science and Technology, Univ Kebangsaan Malaysia, Bangi 436, Malaysia, Email: h.aldweby@yahoo.com) : Properties of a subclass of analytic functions defined by generalized operator involving q-hypergeometric function. Far East J mathl Sci 2013, 81(2), 189-200.

In this paper, authors introduce a class of analytic functions defined by a convolution linear operator involving the g-hypergeometric function. We derive few properties like coefficient inequalities, growth and distortion theorems and extreme points for this class.

12 ref

006369   ABD El-Wahab M M;Essa K S M;Elsman H M; Soliman A S;Elgmmal S M;Wheida A A (Astronomy Dep, Faculty of science, Cairo Univ, Cairo, Egypt, Email: mohamedksm56@yahoo.com) : Derivation of the gaussian plume model in three dimensions. Mausam 2014, 65(1), 83-92.

Gaussian plume model is a common model to study advection diffusion equation which is solved in three dimensions by using Laplace transformation considering constant eddy diffusivity and wind speed power law. Different schemes such as Irwin, Power Law, Briggs and Standard methods are used to obtain crosswind integrated concentration. Statistical measures are used in this paper to know which is the best scheme which agrees with the observed concentration data obtained from Copenhagen, Denmark. The results of model are compared with observed data.

2 illus, 7 tables, 15 ref

005331   Shrivastava S S (Mathematics Dep, Govt. P.G. College, Shahdol, Madhya Pradesh) : Fox's H-function and persistence of equilibrium states in biological systems. Ultra Scient phys Sci-Sect B 2013, 25(3), 347-50.

In an attempt to give extensions of the results in the theory of special functions we derive a proper integral whose integrand contains Fox's H-function having general argument and used it in finding out a solution of a non-linear differential equation u_t = Du_xx + f(u) related to a reaction-diffusion problems in biological models by means of linearization procedure.

6 ref

005330   Saefuddin J A;Mangku I W;Siregar H (Mathematics Dep, Jenderal Soedirman Univ, Jl. Dr. Suparno, Kampus UNSOED Karangwangkal Purwokerto, 53123, Indonesia, Email: rzjajang@yahoo.com) : Asymptotic normality of modified local getis statistic. Far East J mathl Sci 2013, 80(2), 155-67.

This paper is concerned with local Getis statistic which has been extensively used in spatial data analysis. This statistic is often assumed to be normally distributed. In application, the p-value of the local Getis statistic always compared to the p-value of z-test. In this paper, we study the distribution of local Getis statistic. Our results show that when the original variables are iid Gamma(1, 4) distributed, the empirical distribution of local Getis statistic is not normally distributed. Due to this reason, we propose a modification of local Getis statistic which gives a robust result that is, it has normal distribution for any distribution of the original variable.

10 ref

005329   Rojas A L (Facultad de Ingenieria, Ciencias y Arquitectura Universidad Juarez del Estado de Durango Av. U, Fracc. Filadelfia CP 35010, Gomez Palacio, Durango, Mexico, Email: arulfol_2007@hotmail.com) : Mathematical model for rectangular beams of variable cross section of symmetrical parabolic shape for uniformly distributed load. Far East J mathl Sci 2013, 80(2), 197-230.

This paper presents a mathematical model for rectangular beams subjected to a uniformly distributed load of variable cross section of symmetric parabolic shape to obtain the fixed-end moments, carryover factors and stiffness factors. The properties of the rectangular cross section of the beam vary along its axis "x", i.e., the width "b" is a constant and the height "h" varies along the beam, this variation is parabolic type. Traditional methods were used for variable section members, the deflections are obtained by means of Simpson's rule, or any other technique to perform numerical integration, and tables showing some authors are restricted to certain relationships. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the displacements and moments are calculated at any cross section of the beam using the respective integral representations as mathematical formulas.

3 illus, 18 ref

005328   Permpoonsinsup W;Sukawat D (Mathematics Dep, King Mongkut's Univ of Technology Thonburi, Bangkok 10140, Thailand, Email: permpoonsinsup.w@gmail.com) : Climate downscaling model by regularized Levenberg Marquardt Algorithm. Far East J mathl Sci 2013, 80(2), 231-59.

A feedforward neural network is used to downscale 850 hPa temperature from a National Oceanic and Atmospheric Administration (NOAA) global model to 4 provinces in Thailand. The NOAA data from the years 2001-2007 are used for training, the data from 2008-2009 for testing and the data from 2010-2012 for validation in the neural network downscaling model. To avoid seasonal effect, summer (March to June) and winter (November to February) are used as experiment cases. Three backpropagation algorithms, Gradient Descent (GDA), Quasi-Newton (QNA) and standard Levenberg-Marquardt (LMA) are used in the training of the network with the sum of square error (E_SSE) as the objective function. The performance (linear regression and mean square error) of LMA is better than those of GDA and QNA. However, in order to reduce over-fitting due to noise in the input data, E_SSE is replaced by the regularized objective function, E_REG. This new method is called regularized Levenberg-Marquardt backpropagation training algorithm (RLMA). The downscaling results from RLMA are better than results from other algorithms.

11 illus, 8 tables, 32 ref

005327   Pandey N;Upadhyay A K;Dubey V;Sharma S (NO, Govt. Model Sc. College Rewa, Madhya Pradesh) : Classical statistical distribution involving H-function of several variables. Ultra Scient phys Sci-Sect B 2013, 25(3), 403-7.

The aim of this paper is to discussed about 'Classical Statistical Distribution involving the H-function of several variables'.

7 ref

005326   Kim Y K;Min W K (Mathematics Dep, Myongji Univ, Yongin 449-728, Korea, Email: ykkim@mju.ac.kr) : On supra-neighborhood systems and spaces. Far East J mathl Sci 2013, 80(2), 261-72.

Introduced the notions of supra-neighborhood systems and supra-neighborhood spaces, and study some properties for such notions and the relationships between supra-neighborhood systems and supratopologies. In particular, authors investigate the relationships among supra-neighborhood systems, weak neighborhood systems, neighborhood structures and generalized neighborhood systems. Also investigate the notions of S*-open sets, sn-continuity and s*(Ψ, Ψ')-continuity.

1 illus, 5 ref

005325   Kim Y K;Min W K (Mathematics Dep, MyongJi Univ, Youngin 449-728, Korea, Email: ykkim@mju.ac.kr) : Some results of soft sets over a common topological universe. Far East J mathl Sci 2013, 80(2), 169-79.

In this paper, authors investigate some results for quasi-open soft sets. We also introduce the notion of supra-topological universe and quasi-supra-open soft sets. Furthermore, we investigate the relation between soft topology and soft supra-topology induced by the given soft topology.

16 ref

005324   Khan Z A (Mathematics Dep, Princess Noura Bint Abdurehman Univ, Riyadh, Kingdom of Saudi Arabia, Email: dr.zareenkhan@ymail.com) : Generalizations of Gronwall-Ou-Iang type integral inequalities of two independent variables. Far East J mathl Sci 2013, 80(2), 181-96.

The aim of the present paper is to establish some new integral inequalities of Gronwall-Ou-Iang type involving functions of two independent variables which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential equations.

13 ref

005323   Jiann-Fu L (Management Information System Dep, Takming Univ of Science and Technology No. 56, Sec. 1, HuanShan Rd. NeiHu, Taipei, 11451, Taiwan, Email: alfu@takming.edu.tw) : Performance analysis of a scheduling algorithm for assigning squared mesh tasks in a distributed computing environment. Far East J mathl Sci 2013, 80(2), 273-87.

With the booming of distributed computing environment, it is imaginable that a mass of tasks would be submitted to the environment for processing. To keep the whole environment working efficiently, task scheduling is the important factor that will greatly affect the performance of the environment. This paper investigates the problem of scheduling squared mesh tasks in a distributed computing environment with several mesh-structured machines, in which tasks are independent and non-preemptable, and each task needs to be processed on a single machine with a given size of squared mesh. The complexity of obtaining a schedule with a minimum schedule length for such a scheduling problem is NP-hard. A heuristic algorithm is proposed for the problem and its performance bound is mathematically analyzed.

1 illus, 16 ref

005322   Agrawal N K;Agrawal V P;Varshney N K (Mathematics Dep, B.S.A. College, Mathura, Uttar Pradesh) : Radiation effect on MHD free convection flow of stratified viscous fluid with heat and mass transfer. Ultra Scient phys Sci-Sect B 2013, 25(3), 335-42.

The objective of this paper is to study the effect of Radiation on MHD free convection flow of stratified viscous fluid past a vertical porous plate with heat and mass transfer taking Visco-elastic and Darcy resistance terms into account and the constant permeability of the medium numerically and neglecting induced magnetic field in comparison to applied magnetic field. The velocity, temperature and concentration distributions are derived and discussed graphically. It is observed that velocity increases with the increase in G_r(Grashof number), K (Perme-ability parameter) and N (Radiation parameter), but it decreases with the increase in M (Magnetic parameter).

3 illus, 3 tables, 14 ref

005321   Agarwal R;Varshney N K (NO, Shri Kali Charan Agarwal, Jindal House, Behind Osho School, Surya Vihar, Aligarh-202 001, Email: rajaagarwal82@gmail.com) : Pulsatile flow of a casson fluid through multiple stenoses artery of non-uniform cross section with periodic body acceleration. Ultra Scient phys Sci-Sect B 2013, 25(3), 359-68.

In this paper, pulsatile flow of a Casson fluid through multiple stenoses artery of non-uniform cross section with periodic body acceleration has been investigated. By employing a perturbation analysis, analytical expressions for the velocity profile, the shear stress and the volumetric flow rate have been derived. Their variations with different flow parameters have shown graphically. It is observed that the velocity and wall shear stress increases as body acceleration increases and velocity also increases as inclination angle increases.

1 illus, 10 tables, 24 ref

004305   Yamaguchi H (Mathematics Dep, Josai Univ, Sakado, Saitama, Japan, Email: hyama@math.josai.ac.jp) : Remarks on analytic projection on certain compact groups. Far East J mathl Sci 2013, 81(1), 103-17.

Define an analytic projection on certain compact groups and investigate boundedness of the analytic projection.

19 ref

004304   Xu X;Ma J;Niu F (College of Mathematics, Jilin Univ, Changchun 130012, P.R. China, Email: xuxw@jlu.edu.cn) : Compositions, derivations and polynomials. Indian J pure appl Math 2013, 44(4), 553-6.

Let R be a prime ring with extended centroid C. In this paper, we discuss the case when the composition of a generalized derivation 8 and a polynomial map f(Y) ∈ C[Y] of R is commutative on a non-zero right ideal p and a non-eommutative Lie ideal L of R respectively, i.e., when the identity δ o f(x) = F o δ (x) holds on p or L. As applications of our main theorems, we clarify the generalized derivations which act as n-Jordan homomorphisms (5_n-homomorphisms) on p or L.

19 ref

004303   Vijaya Kumar A G;Rushi Kumar B;Balamurugan K S;Varma S V K (NO, Fluid Dynamics Division School of Advanced Sciences VIT Univ, Vellore-632 014, Email: agvijaykumar1729@gmail.com) : Effects of induced magnetic field and radiation of MHD mixed convective chemically reacting fluid over a porous vertical plate. Far East J mathl Sci 2013, 80(1), 135-54.

This work is focused on the study of MHD mixed convection radiative heat and mass transfer flow of a steady, viscous, incompressible, electrically-conducting Newtonian fluid which is an optically thin gray gas over a porous vertical infinite plate in the presence of first order chemical reaction and temperature gradient heat source taking into account the induced magnetic field with a magnetic Prandtl number. The governing equations for this investigation are formulated and solved using perturbation technique. Non-dimensional velocity, temperature, concentration, induced magnetic field and skin-friction are discussed through graphs for different values of parameters entering into the problem.

15 illus, 2 tables, 27 ref

004302   Tripathi A;Tyagi K (Mathematics Dep, Jaypee Institute of Information Technology, A-10, Sector-62, Noida, Email: alka.choubey@gmail.com) : Note on rough set. Int J mathl Sci 2014, 13(1-2), 1-10.

In this paper definition of rough set as given by Pawlak [3], Dubois [5] and many others are discussed. Pawlak [3] defined the rough set theory with the help of approximate operators like lower approximation, upper approximation and boundary of region. Rough set is further generalized as fuzzy rough set and intuitionistic fuzzy rough set with the help of memebership /nonmemebership functions [5, 6]. Topology and filter are induced by binary relation. Rough set can be generalized with the help of topology. Narl & Ozcelik generalized [7] theory of rough set by using filter, a new approach of rough membership function using a topological filter in place of equivalence classes.

13 ref

004301   Tasdemir F;Atagun A O;Altidis H (Mathematics Dep, Bozok Univ, 66100, Yozgat, Turkey, Email: altindis@erciyes.edu.tr) : Different prime - N-ideals and IFP N-ideals. Indian J pure appl Math 2013, 44(4), 527-42.

Provided some characterizations of completely prime (completely semiprime) and 3-prime (3-semiprime) TV-groups. The relationship between a 3-prime (completely prime) TV-ideal P of an TV-group Γ and the ideal (P : Γ) of the near-ring N is investigated. Moreover, the notion of IFP N-ideal is defined. We prove that the concept of IFP N-ideal occurs naturally where N is a left permutable (left self distributive, subcommutative) near-ring and Γ a monogenic N-group. Also, we obtain some relationships between an IFP N-ideal P of an TV-group Γ and the ideal (P : Γ) of the near-ring N.

17 ref

004300   Sukparungsee S (Applied Statistics Dep, Faculty of Applied Sciences King Mongkut's Univ of Technology North B, Thailand, Email: swns@kmutnb.ac.th) : Average run length of double moving average control chart for zero-inflated count processes. Far East J mathl Sci 2013, 80(1), 85-103.

Objective of this research is to study the performance of control charts for quickest detection of change in means with a Double Moving Average control chart (DMA). Explicit formulas of ARL₀ and ARL₁ for DMA chart are presented when the probability of observing a defective product follows a Zero-Inflated Poisson (ZIP) distribution -a distribution that is similar to a Poisson distribution but with an excess number of zeros. The main characteristics of a control chart are the Average Run Length (ARL₀) (mean of false alarm times) and the Average Delay time (ARL₁) (mean delay of true alarm times). The ARL₀ should be sufficiently large while the process is still in-control and the ARL₁ should be small when the process goes out-of-control. We looked at processes in which there Was no mean shift in amount of defectives and in which there was a mean shift. Based on the ARL measure, the performance of DMA_ZIP chart is better than for all shift sizes when compared with the DMA_ZIP chart. Additionally, for the shift increasing, DMA_ZIP performs better as the value of (w) decreases.

2 tables, 24 ref

004299   Sharma R K;Sarma J (Mathematics Dep, BBK College, Nagaon, Barpeta-781 311) : Concept of arithmetic in secondary level students of Nalbari district of Assam. Int J mathl Sci 2014, 13(1-2), 11-18.

Arithmetic is the oldest and most elementary branch of mathematics. This paper first gives a glimpse of the history of arithmetic. Then, on the basis of field study in Nalbari district, high school students' conception in mathematics and in arithmetic are discussed. The sample in this study comprises 329 pupils of secondary schools under SEBA of which 152 (46.2%) are male and the rest 177 (53.8%) are female. For most of the students reading in the schools run by government management, mathematics is the least favorite subject after English. Independent t tests show that female students display less confidence in arithmetic as well as in mathematics than their male counterpart.

2 illus, 5 tables, 13 ref

004298   Sharma R B;Saroja K (Mathematics Dep, Kakatiya Univ, Warangal-506 009, Email: rbsharma_005@yahoo.co.in) : New subclass of k-uniformly starlike functions with respect to symmetric points. Far East J mathl Sci 2013, 80(1), 15-31.

In this paper, authors introduce a hew subclass of k-uniformly starlike functions with respect to symmetric point. We provide necessary and sufficient conditions, coefficient estimates, distortion bounds, extreme points and radii of close to convexity, starlikeness and convexity for the functions in this class. We also obtain integral transforms for the functions in this class.

8 ref

004297   Seshagiri Rao K V V;Sai Kumar P V H S (Mathematics Dep, Kakatiya Institute of Technology and Science, Warangal, Email: kadambari_vvsrao@rediffmail.com) : Positive solutions of a class of neutral delay differential equations of second order. Int J mathl Sci 2014, 13(1-2), 95-104.

The conditions for the existence of nonoscillatory solutions of nonlinear neutral delay differential equations with positive and negative coefficients of the form -d/dt (r(t) + d/dt (y(t) + p(t) y (t - τ))) + f₁(t) G₁ (y (t - σ₁)) - f₂(t) G₂(y (t - σ₂)) = 0 is studied under the assumption that ∫^{∞₀ 1/r(s) ∫∞_s f_i(u) duds <62> ∞, i=1,2, for various ranges of p(t) are presented.}

15 ref

004296   Sathiyabama S (Mathematics Dep, Kongu Engineering College, Perundurai, Erode-638 052, Email: sathiyabam@gmail.com) : p-quasihyponormality of the generalized Aluthge transformation. Int J appl mathl Analysis Applic 2013, 8(1), 57-61.

Let T = U|T|^{p be the polar decomposition of p-Quasihyponormal operator for 0 <60> p <60> 1. Then the operator |T_s,t| = |T|s U |T|, 0 <60> s <60> 1,0 <60> t <60> 1 is (1/2(s + t) -Quasihyponormal and the operator |T_r,t| = |T| U |T|r-t, 0 <60> r, t <60> 1, r ≥ t is q-Quasihyponormal where q- max (p + r + t, 2).}

7 ref

004295   Sarkar-Dey D (Mathematics and Statistics Dep, Loyola Univ Maryland, Baltimore, MD 21210, U.S.A.) : Tensor product and linear operator. Far East J mathl Sci 2013, 81(1), 13-19.

Authors compare Positive (Semi) Definite and Quasi-Positive (Semi) Definite operators. They discuss when the operators preserve properties and give counterexamples when they violate properties.

4 ref

004294   Rubei E (Dipartimento di Matematica "U. Dini", viale Morgagni, 67/A, 50134 Firenze, Italia, Email: rubei@math.unifit.it) : On the weights of simple paths in weighted complete graphs. Indian J pure appl Math 2013, 44(4), 511-25.

Consider a weighted simple graph G on the vertex set (1, ..., n). For any path p in G, authors call wG(P) the sum of the weights of the edges of the path, and, for any (i, j) ⊂ (1, ..., n), authors define the multiset D_(i,j) G = (w_G(P)| p a simple path between i and j). They establish a criterion for a multisubset of R to be of me form D_(i,j)(G) for some weighted complete graph G and for some i, j vertices of G. Besides they establish a criterion for a family {D_(i,j)} (G)_{i,j}∈(^{{1, ..., n}/2 of multi-subsets of R to be of the form {D_{i,j}(G)}_{{i,j}∈({i, ..., n}/2}} for some weighted complete graph G with vertex set {1, ..., n}.}

16 ref

004293   Ramaswamy A R S;Sutharani R (Mathematics Dep, Avinashilingam Univ, Coimbatore-641 043, Email: arsudamani@hotmail.com ) : Desingning group acceptance sampling plans for the generalized exponential distribution using minimum angle method. Int J appl mathl Analysis Applic 2013, 8(1), 9-19.

Minimum angle method is introduced to find the parameters of a group acceptance sampling plan in which the truncated lifetimes follows a generalized exponential distribution. The values of operating ratio corresponding to the producer's risk and consumer's risk are calculated and using minimum angle method and the minimum angle 6 is found. Tables are constructed and examples are provided.

2 tables, 8 ref

004292   Patel N;Shrivastava P (NO, Government College Jobat, Distt.-Alirajpur, Madhya Pradesh, Email: n_patel_1978@yahoo.co.in) : Explicit formulae for P_n and Q_n. Int J appl mathl Analysis Applic 2013, 8(1), 31-6.

Authors have derived some explicit formulae for Pell numbers P_n and Q_n Pell-Lucas numbers in terms of ceiling and floor functions. Authors have also derived their predecessor and successor formulae to get predecessor or successor of any given Pell or Pell-Lucas number.

5 ref

004291   Obied Allah M H (Mathematics Dep, Faculty of Science, Assiut Univ, Assiut, Egypt, Email: mhobied@yahoo.com) : Viscous potential flow analysis of magnetohydrodynamic intefacial stability through porous media. Indian J pure appl Math 2013, 44(4), 419-41.

In the view of viscous potential flow theory, the hydromagnetic stability of the interface between two infinitely conducting, incompressible plasmas, streaming parallel to the interface and subjected to a constant magnetic field parallel to the streaming direction will be considered. The plasmas are flowing through porous media between two rigid planes and surface tension is taken into account. A general dispersion relation is obtained analytically and solved numerically. For Kelvin-Helmholtz instability problem, the stability criterion is given by a critical value of the relative velocity. On the other hand, a comparison between inviscid and viscous potential flow solutions has been made and it has noticed that viscosity plays a dual role, destabilizing for Rayleigh-Taylor problem and stabilizing for Kelvin-Helmholtz. For Rayleigh-Taylor instability, a new dispersion relation has been obtained in terms of a critical wave number. It has been found that magnetic field, surface tension, and rigid planes have stabilizing effects, whereas critical wave number and porous media have destabilizing effects.

7 illus, 2 tables, 26 ref

004290   Nagar D K;Tabares-Herrera Y (NO, Instituto de Matematics Universidad de Antioquia Calle 67, No. 53-108 Medellin, Colombia, Email: dayaknagar@yahoo.com) : Entropeis and fisher information matrix for the beta type 3 distribution. Far East J mathl Sci 2013, 81(1), 95-102.

In this article, authors derive Fisher information matrix and entropies such as Renyi and Shannon for the beta type 3 distribution.

15 ref

004289   Mukwembi S (School of Mathematics, Statistics and Computer Science, Univ of KwaZulu-Natal, Westville Campus, South Africa, Email: mukwembi@ukzn.ac.za) : On size, order, diameter and minimum degree. Indian J pure appl Math 2013, 44(4), 467-72.

Let G be a finite connected graph. Authors give an asymptotically tight upper bound on the size of G in terms of order, diameter and minimum degree. Our result is a strengthening of an old classical theorem of Ore [Diameters in graphs, J. Combin. Theory, 5 (1968), 75-81] if minimurn degree is prescribed and constant.

8 ref

004288   Mishra A K;Shrivastava R K (NO, S. M. S. Govt. Model Science College, Jiwaji Univ, Gwalior, Email: akmishra_maths@yahoo.com) : Queueing analysis of a machine repair system with warm spares and multiple n-policy vacations for repairmen. Int J mathl Sci 2014, 13(1-2), 125-37.

In this paper, Queueing analysis of a machine repair problem comprising of M-operating units together with S-type of warm standby spares has been investigated. The failed machines are immediately attended by repairman if available. In many practical multiple systems only some servers perform other jobs (leave for a vacation) when they becomes idle and the other servers are always available for serving the arriving units. In Queueing theory, this type of vacation for server is known as "The partial server vacation". When the vacation period is terminated, the repairman return and check for any failed unit in the queue. If the queue is non empty, the repairman start repairing until the queue becomes empty and again they take another vacation. The rate of repairing of failed machines depends upon the workload. Vacation time is exponential distributed. By using transition rate diagram the steady state probability equations and solve these equations recursively. Develops a cost model, system availability. A numerical example shows understanding of the sensitivity of parameters with respect to various performance measures. The variation of performance characteristics is indicated in tables and figures with respect to different parameters.

1 illus, 3 tables, 14 ref

004287   Massou S;Moussiliou S;Moumouni S;Essoun A L; Tchoffo M (de Physique Dep, Faculte des Sciences et Techniques Universite'd' Abomey-Calavi, Benin 06 BP. 1716 Cotonou Republique du Benin, Email: siakmas@yahoo.fr) : Stochastic nonlinear dynamics with fluctuation in rate parameters: application to deoxyhemoglobin s aggregation in simple shear flow. Far East J mathl Sci 2013, 81(1), 71-94.

A theoretical base through the nonlinear dynamic model is derived in the Leung [13] approach phenomenon. In fact, the intrinsic frequency growth k - α/γ in this approach is bound to the contribution α = nε of the Brownian motion in Smoluchowski equation. This intrinsic frequency growth k becomes in the stochastic model a function uncertain of time k(t] = k₀ + ξ(t) which constitutes a realistic hypothesis obviously. The theoretical and numerical results obtained when applying for the first time the stochastic model proposed to the dynamics of growth of the molecules of deoxy-HbS in a simple shear flow, are essential. Indeed, the blood outflow is a natural pulse that results from the superposition of a permanent outflow and an oscillating outflow. Consequently, the concept of noise presents a certain theoretical and convenient interest in describing the stochastic dynamics of the polymerization of the molecules of deoxy-HbS in a simple shear flow. Thus, to apply the exact analytic result of Mannella et al. [18], we have developed an original theoretical method for the calculation of the characteristic times t* = ϕ(t). In particular, the concept of the harmonic and fluctuating oscillator, for the characteristic time of the harmonic noise, drove us to an invariant analytic expression by permutation of the eigenvalues λ₁ and λ₂ of the matrix A of the interaction parameters. Then, for a fixed noise, authors did digital simulations on the computer. The results obtained are new and very meaningful.

10 illus, 22 ref

004286   Martinez F C;Cansino A T;Rojas A L;Rojas R L (Facultad de Ingenieria, Ciencias y Arquitectura de la Universidad Juarez del Estado de Durango, Dgo. C.P. Mexico, Email: facundo_cm@yahoo.com.mx) : Mathematical model for the optimization of the design of a facultative pond (case study). Far East J mathl Sci 2013, 81(1), 127-45.

Aim of this paper is to apply an optimization to the design and cost of a facultative pond. The system used was Excel Solver for nonlinear programming. The program uses the generalized reduced gradient algorithm (GRG). We designed a facultative pond first with the traditional approach as control condition, and then applied the mathematical model proposed. The results indicate a decrease in the hydraulic retention time of 4.7 days, which represents 18.27 percent and a decrease of 17.37 area percent. In both cases, it meets the maximum contaminant limits indicating the regulations for discharge to receiving bodies.

6 illus, 6 tables, 33 ref

004285   Leerawat U;Sukklin R (Mathematics Dep, Kasetsart Univ, Bangkok, Thailand, Email: fsciutl@ku.ac.th) : Study of anti fuzzy su-algebras. Int J mathl Sci 2014, 13(1-2), 53-9.

In this paper, the notion of and fuzzy SU-subalgebra and anti fuzzy SU-ideal in SU-algebra are established and some of their properties are investigated. Moreover, the relations between fuzzy SU-subalgebra(SU-ideal) and anti fuzzy SU-subalgebra(SU-ideal) of SU-algebras are studied.

7 ref

004284   Lakshmi S;Manickam A (NO, Principal Govt. Arts & Science College, Peravurani, Thanjavur (Dt)-614 804, Email: lakshmi291082@yahoo.co.in) : Weibull-ipl model for the secretion of growth hormone in peptides. Int J mathl Sci 2014, 13(1-2), 77-84.

This paper will explore the concept of component dependence while using accelerated life test data analysis models to determine system reliability. Accelerated life models consist of an underlying failure distribution and a life stress relationship. A percentile of the failure distribution is chosen to be represented by the stress life-relationship. The objective then becomes to obtain the parameters of the failure distribution and the life stress relationship. For example, Growth hormone-releasing peptides (GHRPs) are synthetic, non-natural peptides endowed with potent stimulatory effects on somatotrope secretion in animal and humans they have no structural homology with GHRH and act via specific receptors present either at the pituitary or the hypothalamic level both in animal and humans. The GHRP receptor has recently been cloned and, interstingly, it does not show sequence homology with other G-protein-coupled receptors known so far. This evidence strongly suggests the existences of a natural GHRP-like ligand which however, has not yet been found. Themechanisms underlying the GHRP effect are still unclear. At present, several data favor the hypothesis that GHRPs could act by counteracting somatostatinergic activity both at the pituitary and the hypothalamic level and /or, at least partially, via a GHRH-mediated mechanism. However, the possibility that GHRPs act via an Unknown hypothalamic factor (U factor) is still open. GHRP-6 was the first hexapeptide to be extensively studied in humans. More recently, a heptapeptide, GHRP-1, and two other hexapeptide, GHRP-2 and Hexarelin, have been synthesized and are now available for human studies. In this paper Weibull-IPL model for GHRH with Hexarelin for different dosages are obtained.

3 illus, 16 ref

004283   Lakshmi S;Gayathri M (NO, Mathematics K.N. Govt. Arts College for Women (Autonomous), Thanjavur-613 007) : Mathematical model for mean residual life time of the secretion of the hormone oxytocin. Int J mathl Sci 2014, 13(1-2), 19-27.

A linear consecutive -k-oul-of-n : F system consist of n linearly ordered components such that the system fails if and only if at least k consecutive components fail. A linear consecutive -k-out-of-n : G system, on the other hand, consists of n linearly ordered components such that the system function if and only if at least k consecutive components function. We denote the consecutive -k-out-of-n: F and consecutive -k-out-of-n : G system by (C, k,n: F) and (C, k,n: G) respectively. Some monotonicity for the mean residual life time function is obtained. This monotonicity is verified for the regulation of the pulsatile secretion of prostaglandin F₂α by the central oxytocin pulse generator.

4 illus, 15 ref

004282   Lakshmi S;Agalya M (NO, Principal Govt. Arts & Science College, Peravurani, Thanjavur (Dt), Tamilnadu-614 804, Email: lakshmi291082@yahoo.co.in) : Mathematical model for finding the association of thyroid stimulating hormone with luteinizing hormone and follicle stimulating hormone. Int J mathl Sci 2014, 13(1-2), 85-93.

It is considered multivariate distributions connected with X, Y and N, where N has a discrete distribution on positive integers while X and Y are the sum and Maximum of N independent copies of random variable W, independent of N. Our focus is bivariate distribution of (X, N) and (Y, N) in case where N and W are geometric and exponential variables respectively. Various univariate and multivariate stochastic models duration, magnitude and maximum of episodes have appeared in the literature in recent years. In the context of human stress theory, several bivariate models have been proposed for duration and magnitude, duration and maximum value and magnitude and maximum value. However, majority of existing models of episode characteristics have largely been selected according to the empirical fit to the data rather than theoretically derived from the mathematical properties of the process under consideration. This model is used for the following medical application. Generally transient hypothyroidism is not unknown, although it is unusual for very high TSH values to spontaneously resolve. Our case highlights the diagnostic and management challenges of Thyroid Stimulating Hormone with Luteinizing Hormone and Follicle Stimulating Hormone.

3 illus, 22 ref

004281   Kim W;Kim C (Statistics and Actuarial Science Dep, Iowa Univ, Iowa City, U.S.A.) : On dual generalized order statistics from Burr type III distribution and its characterization. Far East J mathl Sci 2013, 81(1), 21-39.

Authors derive the explicit expressions and some recurrence relations for the single and product moments of the dual generalized order statistics from Burr Type III distribution. Also, they obtain characterizations of Burr Type III distribution using a recurrence generalized order statistics. These results include the relations for the moments of order statistics, reversed order statistics and lower order relation for the moments and the conditional expectation of the dual generalized order statistics. 1 moments of order statistics, statistics as special cases.

20 ref

004280   Kamal A A M;Al-Shaalan K H (Mathematics Dep, Faculty of Sciences, Cairo Univ, Giza, Egypt, Email: aamkamal_9@hotmail.com) : Commutativity of rings and near-rings with generalized derivations. Indian J pure appl Math 2013, 44(4), 473-96.

Authors prove some theorems of commutativity for prime rings or 3-prime near-rings with a suitably constrained generalized derivation. As a consequence of the results obtained, we prove several commutativity theorems for 3-prime near-rings and prime rings. Also, we prove some other results about the generalized derivation either on a near-ring or on a ring.

13 ref

004279   Kalita R K;Sarma J (Mathematics Dep, Morigaon College, Morigaon, Assam, Email: kalitaranjit@yahoo.com) : Higher order nonlinear effect in dusty plasma. Int J mathl Sci 2014, 13(1-2), 29-40.

The combined effects of dust ions and higher order nonlinearity are taking into account with the dust charge variation. The model of dust charge variation, taken here, is of the form I_e + I_i = 0, I_e and I_i, being the current of electrons and ions. The basic set of fluid equations for plasma consisting of dust cold ions, cold ions and hot electrons (nonisothermal and isothermal) reduces to modified Korteweg-de Vries equation to linear homogeneous equation for second order potential and ultimately highlights new features in plasma. Using reductive perturbation method stationary solutions of the coupled equations are obtained in the case of dust ions, retaining terms up to the third order. The numerical analysis for the stationary solutions is also discussed.

1 illus, 16 ref

004278   Hashibah H;Mahat N I (NO, School of Quantitative Sciences UUM College of Arts and Sciences Unive, Malaysia, Email: hashibah@uum.edu.my) : Using principal component analysis to extract mixed variables for smoothed location model. Far East J mathl Sci 2013, 80(1), 33-54.

Study is conducted to test the appropriateness of variables extraction technique called principal component analysis to keep adequate number of variables for construction of the smoothed location model when the measured variables are mixed and large, particularly the binary. The strategy of performing variables extraction prior to construction of the smoothed location model was tested on some artificial data generated from normal population and also on three real data sets. The criterion for selecting useful components based on unity eigenvalue works well for small and moderate sizes of variables, but troublesome for large number of variables. Results of simulations give evidence that the proposed strategy shows good performance with small value of error rate in classifying future objects through new extracted components for the investigated population. The results also are satisfactory for real data sets. The suggested strategy shows potential to be used as an option for the purpose of classification based on smoothed location model when dealing with large number of mixed variables.

4 tables, 49 ref

004277   Gururajan N;Poobathy A S;Senthil Kumar S (Lecturer in Mathematics, Pondicherry Univ Community College, Lawspet, Pudhucherry-8, Email: vgngpondy@yahoo.com) : Employee's heart rate using non linear cellular automata model. Int J appl mathl Analysis Applic 2013, 8(1), 63-87.

Non-linear Cellular Automata model is very much use in practice. It has wonderful application for medical diagnosis and the intensity of the disease. Here in this paper, we discuss about Heart Rate Variability (HRV) of employee's through non-linear Cellular Automata model. Cellular Automata model gives us striking results for further studies.

11 illus, 7 ref

004276   Forozani G;Nosrat M G (Physics Dep, Bu-Ali Sina Univ, Hamedan, Iran, Email: g.forozani@gmail.com) : Solitary solution of modified bad and good Boussinesq equation by using of Tanh and extended Tanh methods. Indian J pure appl Math 2013, 44(4), 497-510.

A mathematical approach based on the reduction of order for solving ordinary differential equations, the standard tanh method and the extended tanh method has been used to obtain solutions of modified bad Boussi-nesq and modified good Boussinesq equations.

6 illus, 20 ref

004275   Dorsett C (Mathematics Dep, Texas A&M Univ, Commerce, Texas 75429 U.S.A.) : More on the pointwise semi-open intersection property. Far East J mathl Sci 2013, 81(1), 41-51.

Questions concerning subspaces of spaces with the pointwise semi-open intersection property are resolved, equality of some of the topologies associated with the pointwise semi-open intersection property is investigated, and additional topological characterizations of finite sets are given.

11 ref

004274   Cho Y U (Mathematics Dep, College of Education Silla Univ, Pusan 617-736, Korea, Email: yucho@silla.ac.kr) : On isomorphic properties in Γ-near-rings III. Far East J mathl Sci 2013, 81(1), 119-25.

Considers some basic concepts of near-rings and Γ-near-rings to investigate some properties of Γ-near-rings and the third isomorphism theorem of Γ-near-rings.

6 ref

004273   Chithra Devi P;Paulraj Joseph J (NO, , Mathematics Manonmaniam Sundaranar Dep, Tirunelveli Univ-627 012, Email: chithradevi095@gmail.com) : Claw decomposition of product graphs. Int J mathl Sci 2014, 13(1-2), 61-75.

A decomposition of a graph G is a family of edge-disjoint subgraphs (G₁, G₂, ..., G_k) such that E(G) = E(G₁) ∪ E(G₂) ∪ ... ∪ E(G_k). If each G_i is isomorphic to H for some subgraph H of G, then the decomposition is called a H-decomposition of G. A star with three edges is called a claw. In this paper, we give necessary and sufficient condition for the decomposition of cartesian product of standard graphs into claws. Also, we give a sufficient condition for the claw decomposition of lexicographic product of standard graphs.

7 ref

004272   Changpuek T;Pongsumpun P;IMing T (Mathematics Dep, Faculty of Science King Mongkut's Institute of Technology Ladkrabang C, Ladkrabang Bangkok 10520 Thailand, Email: kppuntan@kmitl.ac.th) : Global stability of the age structural transmission model for swine flu. Far East J mathl Sci 2013, 80(1), 55-84.

In this paper, authors examine the global stability of swine flu transmission model incorporated the age structure of human population based on SEIQR (susceptible-exposed-infected-quarantined-recovered) model. The human population is divided into three groups such as 1-10 years, 11-20 years and more than 20 years, respectively. They obtain four equilibrium states and then construct Lyapunov functions with the conditions for global stability of these four equilibrium states.

8 ref

004271   Chandrakala P;Bhaskar P N (Mathematics Dep, Bharathi Women's College No. 34/2, Ramanujam Garden Street, Pattalam, Chennai-600 012, Email: pckala05@yahoo.com) : Radiation effects of oscillating vertical plate with uniform heat and mass flux. Int J appl mathl Analysis Applic 2013, 8(1), 21-30.

Thermal radiation effects on flow past an impulsively started infinite vertical oscillating plate with uniform heat and mass flux is studied here. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration are studied for different physical parameters like radiation parameter, phase angle, Schmidt number and time. The variation of the skin-friction for different values of the parameters is also shown in a table.

5 illus, 8 ref