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Category: Issue 1

Product form in networks of queues with negative customers

1PUSHPANDRA KUMAR and 2ARIF NADEEM

ABSTRACT:

In this paper, we introduce a new classes of queueing networks with “negative customers”. A negative customer arriving to a queue reduces the total customers count in that queue by one negative customer donot receive service applications for such negative customer queueing networks include certain transaction models and certain neural network models. Even though the underlying equations of the models to be described can be nolinear they do have a product form solution for the equilibrium state probabilities.

KEYWORDS: Queue with negative customers, negative arrivals, product form solution, networks of queues


In this paper, we introduce a new classes of queueing networks with “negative customers”. A negative customer arriving to a queue reduces the total customers count in that queue...

A stochastic model for expected time to seroconversion under correlated intercontact times using SCBZ property

R. KANNAN, M. RABERT and R.SATHIYAMOORTHI

ABSTRACT:

This paper focuses on the study of a stochastic model for predicting seroconversion time of HIV transmission under correlated intercontact times. In the estimation of expected time to seroconversion, there is an important role for the interarrival times between successive contacts and it has a significant influence. We propose a stochastic model assuming the intercontact times between successive contacts are correlated random variables and the threshold distribution is SCBZ property. The expected time to seroconversion and its variance are derived and numerical illustrations are provided.

KEYWORDS: Acquired Immuno Deficiency Syndrome, Antigenic Diversity Threshold, Human Immunodeficiency Virus, Intercontact times, Seroconversion.


This paper focuses on the study of a stochastic model for predicting seroconversion time of HIV transmission under correlated intercontact times. In the estimation of expected time to seroconversion,...

Combinatorial aspects of the generalized unitaroy Eulers’s totient

1VIJAYA SEKHAR REDDY and 2E. KIRAN BABU

ABSTRACT:

A Generalized unitary Euler’s totient is defined as a Dirichlet convolution of a power function & a product of the Souriau –Hsu- Mobius function with a completely multiplicative – function. Two combinatorial aspects of the generalized unitary Euler’s totient, namely its connect totients and its relations with counting formulas are investigated.

KEYWORDS: unitary Euler’s totient


A Generalized unitary Euler’s totient is defined as a Dirichlet convolution of a power function & a product of the Souriau –Hsu- Mobius function with a completely multiplicative – function. Two combinatorial...

Bianchi type-I inflationary cosmological model in general relativity

GHANSHYAM SINGH1 and SUMAN GUPTA2

ABSTRACT:

Bianchi type-I inflationary cosmological model in the presence of mass less scalar field with a flat potential is investigated. A determinate solution is obtained without taking any supplementary condition between the metric potentials. Various physical and geometrical features of the model are also discussed

KEYWORDS: Bianchi type-I inflationary


Bianchi type-I inflationary cosmological model in the presence of mass less scalar field with a flat potential is investigated. A determinate solution is obtained without taking any supplementary condition between the metric...

MHD Boundary Layer Stagnation Point Flow and Heat Generation/ Absorption of a Micropolar Fluid with Uniform Suction / Injection

R.N. JAT and VISHAL SAXENA

ABSTRACT:

A comprehensive study of the steady laminar flow with heat generation of an incompressible electrically conducting micropolar fluid impinging on a permeable flat plate is analyzed numerically. A uniform suction or blowing is applied normal to the plate, which is maintained at a constant temperature. Also, a uniform magnetic field is applied normal to the plate and the viscous dissipation effect is taken into account. The governing partial differential equations are transformed into ordinary differential equations by using similarity variables and then solved them numerically by standard technique. The effects of the uniform suction/ blowing parameter, magnetic parameter, material parameter on the flow and heat transfer are presented graphically and discussed

KEYWORDS: Stagnation point flow, Micropolar fluid, MHD, Heat generation/absorption, Suction/injection.


A comprehensive study of the steady laminar flow with heat generation of an incompressible electrically conducting micropolar fluid impinging on a permeable flat plate is analyzed numerically. A uniform...

Tilted Cosmological Model With Electromagnetic Field

ANITA BAGORA (MENARIA)

ABSTRACT:

Tilted Bianchi type I cosmological model in the presence of magnetic field and barotropic fluid is investigated. To determine complete solution, we have assumed that the condition p  , where p being isotropic pressure,  the matter density and also assumed that the relation between metric potential as A=BC. Here, we have seen that Maxwell’s equations F [ij;k] = 0 is satisfied by F 23 = constant. The physical and geometrical aspects of the model in the presence and absence of magnetic field together with singularity in the model are also discussed.

KEYWORDS: Tilted cosmological model; Magnetic field; Bianchi type-I universe.


Tilted Bianchi type I cosmological model in the presence of magnetic field and barotropic fluid is investigated. To determine complete solution, we have assumed that the condition p  , where p...

Decomposition of curvature tensor fields in a Tachibana recurrent space of first order

K.S. RAWAT and NITIN UNIYAL

ABSTRACT:

Takano1 have studied and defined decomposition of curvature tensor in a recurrent space. Sinha and Singh2 have studied decomposition of recurrent curvature tensor field in a Finsler space. Further, Negi and Rawat5 studied decomposition of recurrent curvature tensor fields in a Kaehlerian space. Rawat and Silswal7 studied and defined decomposition of recurrent curvature fields in a Tachibana space

In the present paper, we have studied the decomposition of curvature tensor field in terms of two vectors and a tensor field. Also several theorems have been established therein.

KEYWORDS: Finsler space


Takano1 have studied and defined decomposition of curvature tensor in a recurrent space. Sinha and Singh2 have studied decomposition of recurrent curvature tensor field in a Finsler space. Further, Negi and Rawat5 studied...

On the maximal lattice of finite cyclic groups

SOURIAR SEBASTIAN1, ALEXANDER MENDEZ2 and DIVYA MARY DAISE.S3

ABSTRACT:

In this paper we introduce the notion of a maximal lattice of groups. We also prove some theorems regarding maximal lattices and based on them develop a method to construct the maximal lattice of any finite cyclic group.

KEYWORDS: Cyclic groups of prime order, maximal lattice, Lfuzzy subgroups.


In this paper we introduce the notion of a maximal lattice of groups. We also prove some theorems regarding maximal lattices and based on them develop a method to construct the...

Fixed point theorem for expansion mappings of rational type on a implicit relation

*A.S. SALUJA, **ALKESH KUMAR DHAKDE and ***DEVKRISHNA MAGARDE

ABSTRACT:

In this note a fixed point theorems on expansion mappings is established in a complete metric space under certain conditions. Further a common fixed point theorem for pair of weakly compatible expansion mappings is established. In this theorem the completeness of space is replaced with a set of four alternative conditions for functions satisfying implicit relations. These theorems extended and improve results of S.M. Kang2, M.A. Khan et al.3, B.E. Rhoades7 and T.Taniguchi8.

KEYWORDS: Common fixed points, expansion mappings, Complete metric space, weak compatible mappings , implicit relations


In this note a fixed point theorems on expansion mappings is established in a complete metric space under certain conditions. Further a common fixed point theorem for pair of weakly compatible...