On a batch retrial model with J vacations

Authors:
Fu-Min Chang;Jau-Chuan Ke
Affiliations:
Department of Finance, Chaoyang University of Technology, Taichung County, Taiwan, ROC;Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, ROC
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 9
Cited 1

Queueing systems with vacations—a survey

Queueing Systems: Theory and Applications
A survey on retrial queues

Queueing Systems: Theory and Applications
Retrial queues revisited

Frontiers in queueing
Analysis of an M/G/1 queue with constant repeated attempts and server vacations

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On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach

Computers and Operations Research
A modified vacation model M[x]/G/1 system: Research Articles

Applied Stochastic Models in Business and Industry
An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair

Performance Evaluation
Accessible bibliography on retrial queues

Mathematical and Computer Modelling: An International Journal
On the Mx/G /1 queue with vacation time

Operations Research Letters

Steady state analysis of the GI/M/1/N queue with a variant of multiple working vacations

Computers and Industrial Engineering

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Abstract

This paper considers a batch arrival retrial queue with general retrial times under a modified vacation policy. Any arriving batch finding the server busy or on vacation enters an orbit. Otherwise, one customer from the arriving batch obtains the service immediately while the rest join the orbit. If the orbit is empty, the server takes at most J vacations repeatedly until at least one customer appears in the orbit upon returning from a vacation. If the orbit is nonempty when the server returns from a vacation, the server waits idly for customers from the orbit or new arrivals. On the other hand, if no customers are recorded in the orbit at the end of the Jth vacation, the server waits for new customers to arrive. This retrial system has potential applications in packet-switched networks. By applying the supplementary variable technique, some important system characteristics are derived. The results presented in the paper may be useful for network system designers and software system engineers.