Abstract: This paper deals with the steady state behavior of an M/G/1 retrial queue with two successive phases of service and general retrial times under Bernoulli vacation schedule for an unreliable server. While the server is working with any phase of service, it may breakdown at any instant and the service channel will fail for a short interval of time. The primary customers finding the serv...

We aim in this paper at designing an optimal management policy for a bulk service queueing system with random set-up time under Bernoulli vacation schedule and N-policy. We first study the discrete time parameter and continuous time parameter stochastic processes and derive all the quantities required to build a linear cost structure. Then an algorithm is suggested to determine the optimal mana...

Abstract This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system Bernoulli feedback, synchronous multiple and single working vacation policies, waiting servers, reneging retention reneged customers. The steady-state solution obtained by using probability generating function (PGF). In addition, important performance measures are derived. Then,...

This study presents and discusses the home delivery services in stochastic queuing-inventory modeling (SQIM). system consists of two servers: one server manages inventory sales processes, other provides at doorstep customers. Based on Bernoulli schedule, a customer served by first may opt for service. If any chooses option, he hands over purchased item leaves immediately. Otherwise, carries sys...