Two types of service; Re-service; Modified vacation; Balking; Service interruption Abstract This paper deals with the steady state analysis of batch arrival retrial queueing system with two types of service under modified vacation policy, where each type consists of an optional re-service. An arriving batch may balk the system at some particular times. After the completion of each types of serv...

Abstract: This paper treats a discrete-time batch arrival queue with geometrically working vacations and vacation interruption. The main purpose of this paper is to present a performance analysis of this system. For this purpose, we first derive the probability generating function (PGF) of the stationary system length at the departure epochs based on the embedded Markov chain technique. Next, w...

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,...

Services play a vital role in economies of nations and in world commerce. An economy cannot operate without the services provided by service firms. In its turn, a service firm cannot survive without a sound competitive strategy. Management of service systems is a continuous challenge, due to the dynamic and random nature of the service environment. The theory of waiting lines provides insight a...