Bulk Arrival Two Phase Retrial Queue with Two Types Service and Extended Bernoulli Vacation

Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 7

Abstract

 This paper is concerned with the analysis of a single server batch arrival retrial queueing system with optional extended server vacation. Server provides two stages of heterogeneous service in succession. Each phase has two types of service and the customer has the option to choice any one of the two types at the time of service. After completion of the second phase service, the server takes Bernoulli vacation. After the vacation completion the server has the option to extend the vacation. The steady state distributions of the server state and the number of customers in the orbit are obtained along with other system characteristics. A general decomposition law for the model is established. Numerical results are calculated.

Authors and Affiliations

J. Ebenesar Anna Bagyam,

Keywords

Related Articles

On Predicting the Next Term of a Sequence

When introducing sequences to students, the first skill we teach them is how to predict the next term of a sequence given the first few terms, usually the first three, four or five terms. In this note, we intend to show...

 Single Objective Evolutionary Algorithm for Job Shop Scheduling Problem

 — Job shop scheduling belongs to the class of NPhard problems. There are a number of algorithms in literature for finding near optimal solution for the job shop scheduling problem. Many of these algorithms e...

Hopf Bifurcation Analysis for the Pest-Predator Models Under Insecticide Use with Time Delay

We consider a delayed Pest-predator model under insecticide use. First, the paper considers the stability and local Hopf bifurcation for a modified Pest-predator model with time delay. In succession, using the normal for...

 The Forcing Monophonic Hull Number of a Graph

 For a connected graph G = (V, E), let a set M be a minimum monophonic hull set of G. A subset T  M is called a forcing subset for M if M is the unique minimum monophonic hull set containing T. A forcing subset for...

Appell Transforms Associated With Expansions in Terms of Generalized Heat Polynomials

In this paper we have discussed the regions of convergence of the series Σ∞n=0 anpn,α,β and Σ∞n=0 bn Wn,α,β (x1t).We have also discussed the class H*of generalized temperature functions having the Huygens property. Final...

Download PDF file
  • EP ID EP109765
  • DOI -
  • Views 110
  • Downloads 0

How To Cite

J. Ebenesar Anna Bagyam, (2013).  Bulk Arrival Two Phase Retrial Queue with Two Types Service and Extended Bernoulli Vacation. INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY, 4(7), 116-124. https://europub.co.uk/articles/-A-109765