ON THE M/G/1 QUEUE WITH MULTIPLE VACATIONS AND GATED SERVICE DISCIPLINE

ON THE M/G/l QUEUE WITH MULTIPLE VACATIONS AND GATED SERVICE DISCIPLINE

The M/C/1 queue with multiple vacations and gated service discipline is considered. We first provide an alternative approach to derive the Laplace-Stieltjes transform of the limiting waiting time distribution, which reveals the stochastic structure of the gated vacation system. Next we discuss the regenerative cycle of the gated vacation system. Based on these considerations, we carry our a tim...

Finite Buffer Bulk Service Queue with Multiple Vacations

In this paper, it is studied about finite buffer bulk service queue M/G (a,b) /1 with multiple vacations and some analytical results, relations among queue length distributions, computations of state probabilities at various epochs are included.

Analysis of an M/G/1 Queue with Multiple Vacations, N-policy, Unreliable Service Station and Repair Facility Failures

This paper studies an M/G/1 repairable queueing system with multiple vacations and N-policy, in which the service station is subject to occasional random breakdowns. When the service station breaks down, it is repaired by a repair facility. Moreover, the repair facility may fail during the repair period of the service station. The failed repair facility resumes repair after completion of its re...

The Mx/G/1 queue with single and multiple vacations under the LIFO service regime

The Discrete-Time Bulk-Service Geo/Geo/1 Queue with Multiple Working Vacations

This paper deals with a discrete-time bulk-service Geo/Geo/1 queueing system with infinite buffer space and multiple working vacations. Considering an early arrival system, as soon as the server empties the system in a regular busy period, he leaves the system and takes a working vacation for a random duration at time n. The service times both in a working vacation and in a busy period and the ...