THE CAFETERIA PROCESS - TANDEM QUEUES WITH 0-1 DEPENDENT SERVICE TIMES AND THE BOWL SHAPE PHENOMENON
成果类型：
Article
署名作者：
WEBER, RR; WEISS, G
署名单位：
University System of Georgia; Georgia Institute of Technology
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.42.5.895
发表日期：
1994
页码：
895-912
关键词：
摘要：
Customers move through a series of M service stations. Each customer, independent of all others, requires service from only one of the stations, for a duration of 1 time unit, this being station i with probability p(i). The customer has zero service at all the other stations, but there is no overtaking between the customers, and so queueing occurs. In the case where there is unlimited waiting room between the servers, we show that the system is interchangeable-permuting the order of the stations has no effect on the distribution of the output stream. When there is no waiting room between the stations we investigate optimal loads of the servers in terms of optimal p(i)'s for up to 10 stations, and observe that optimal loads exhibit the bowl phenomenon. We also obtain some bounds on the throughput for equal loads as a function of M.