A batch arrival queue with exponential working vacations

Authors:
Jihong Li;Duihong Jia;Naishuo Tian
Affiliations:
Shanxi University, Taiyuan, China;Changzhi College, Changzhi, China;Yanshan University, Qinhuangdao, China
Venue:
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Year:
2010

Citing 8
Cited 1

Queueing systems with vacations—a survey

Queueing Systems: Theory and Applications
On stochastic decomposition in M/G/1 type queues with generalized server vacations

Operations Research
M/M/1 queues with working vacations (M/M/1/WV)

Performance Evaluation
M/G/1 queue with multiple working vacations

Performance Evaluation
Vacation Queueing Models: Theory and Applications (International Series in Operations Research & Management Science)

Vacation Queueing Models: Theory and Applications (International Series in Operations Research & Management Science)
Analysis of the M/G/1 queue with exponentially working vacations--a matrix analytic approach

Queueing Systems: Theory and Applications
Stochastic decompositions in the M/M/1 queue with working vacations

Operations Research Letters
Analysis of a GI/M/1 queue with multiple working vacations

Operations Research Letters

M/G/1 queue with exponential working vacation and gated service

ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

Many real systems with a multi-purpose production facility, such as some stochastic production and inventory control model, alternate between the normal production period and lower speed production period. In this paper, we model a general two-period alternating system by a batch arrival queue with exponential working vacations. Combining Embedded Markov chain and the M/G/1-type matrix analytic approach, we carry out the stationary analysis to present the system performance indices, including the queue length, waiting time and system utilization, et. al. A variety of numerical results are presented to show the effects of the system parameters on the system process.