Flexible M/G/1 queueing system with state dependent service rate

详细信息    查看全文

• 作者：Josemar Rodrigues^a ; ^{josemar@icmc.usp.br" class="auth_mail" title="E-mail the corresponding author} ; Silvia Maria Prado^b ; N. Balakrishnan^c ; Francisco Louzada^a
• 关键词：Conway&ndash ; Maxwell Poisson distribution ; Bayesian inference ; Dispersion ; Dependent service rate ; Exponential Conway&ndash ; Maxwell Poisson distribution
• 刊名：Operations Research Letters
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：44
• 期：3
• 页码：383-389
• 全文大小：434 K

文摘

In this paper, we propose the extended Poisson distribution which unifies some well-known models in finite queues that have been used to model congestion in vehicular, pedestrian traffic networks as well as the Conway–Maxwell Poisson distribution (Kadane et al., 2006). The main issue is to formulate a M/G/1 queue wherein the service distribution is the Exponential Conway–Maxwell Poisson distribution (Cordeiro et al., 2012) which uses a new defense mechanism against long waiting time. A Bayesian simulation study and an example with a real dataset are provided.