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带启动—完全关闭时间的M~X/G/1排队系统等待时间研究
The Waiting Time of M~X/G/1 Queueing System with Setup/Entire Closedown Times
【摘要】 利用球罐模型研究了带启动和完全关闭时间的批到达多级适应性休假排队系统的顾客等待时间,获得了该系统中任一顾客的平均等待时间,给出了顾客等待时间的随机分解,并推广了批到达多重休假与单重休假排队系统的几个结论。
【Abstract】 Applying the Ball and Urn Model in researching the waiting time of the batch arrival Mx/G/1 queuing system under multiple adaptive vacation policy with setup/entire closedown times,we obtain the mean waiting time of a customer and give the stochastic decomposition property of the customer waiting time.As the special case of the model studied in this paper,we generalized several results about batch arrival queueing system with multiple vacation or single vacation.
【关键词】 排队系统;
等待时间;
球罐模型;
随机分解;
【Key words】 Queueing system; Waiting time; Ball and urn model; Stochastic decomposition;
【Key words】 Queueing system; Waiting time; Ball and urn model; Stochastic decomposition;
【基金】 四川理工学院校级基金项目资助(07ZR3607ZR41)
- 【文献出处】 西南科技大学学报 ,Journal of Southwest University of Science and Technology , 编辑部邮箱 ,2010年02期
- 【分类号】O213.2
- 【下载频次】54