Tail asymptotics for waiting time distribution of an M/M/s queue with general impatient time
In this paper,we consider an M/M/s queue where customers may abandon waiting for service and renege the system without receiving their services. We assume that impatient time on waiting for each customer is independent and identically distributed non-negative random variable with a general distribution where the probability distribution is light-tailed and unbounded. The main objective of this paper is to provide an approximation for the waiting time distribution in an analytically tractable form. To this end,we obtain the tail asymptotics of the waiting time distributions of served and impatient customers. By using the tail asymptotics,we show that the fairly good approximations of the waiting time distributions can be obtained with low numerical complexity.
Queue general impatient time waiting time distribution tail behavior
Yutaka Sakuma Atsushi Inoie Ken’ichi Kawanishi Masakiyo Miyazawa
Tokyo University of Science Noda-City 278-8510 Japan Kanagawa Institute of Technology Atsugi-City 243-0292 Japan Gunma University Kiryu-City 376-8515 Japan
国际会议
北京
英文
35-42
2010-07-24（万方平台首次上网日期，不代表论文的发表时间）