Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup

Authors:
Jau-Chuan Ke
Affiliations:
-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 2
Cited 6

A queue with service interruptions in an alternating random environment

Operations Research
Workloads and waiting times in single-server systems with multiple customer classes

Proceedings of the workshop held at the Mathematical Sciences Institute Cornell University on Mathematical theory of queueing systems

Optimal NT policies for M/G/1 system with a startup and unreliable server

Computers and Industrial Engineering
Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations

Journal of Computational and Applied Mathematics
Optimization of the T policy M/G/1 queue with server breakdowns and general startup times

Journal of Computational and Applied Mathematics
The N-policy for an unreliable server with delaying repair and two phases of service

Journal of Computational and Applied Mathematics
Comparison of two randomized policy M/G/1 queues with second optional service, server breakdown and startup

Journal of Computational and Applied Mathematics
The optimal control of an Mx/G/1 unreliable server queue with two phases of service and Bernoulli vacation schedule

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

This paper studies the vacation policy of an M/G/1 queueing system with an unreliable server and startup. After all the customers are served in the queue exhaustively, the server deactivates and takes at most J vacations of constant time length T repeatedly until at least one customer is found waiting in the queue upon returning from a vacation. If at least one customer presents in the system when the server returns from a vacation, then the server reactivates and requires a startup time before providing the service. On the other hand, if no customers arrive by the end of the J^t^h vacation, the server remains dormant in the system until at least one customer arrives. We will call the policy modified T vacation policy. Furthermore, it is assumed that the server breaks down according to a Poisson process and his repair time has a general distribution. We analyze the system characteristics for this model.