PARALLEL SERVICE WITH VACATIONS
成果类型：
Article
署名作者：
BROWNE, S; KELLA, O
署名单位：
Hebrew University of Jerusalem
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.43.5.870
发表日期：
1995
页码：
870-878
关键词：
摘要：
We study a system with unlimited service potential where all service requests are served in parallel. The entire system itself becomes unavailable for a random period of rime at the first instance that the system becomes idle. A queue builds up while the system is unavailable, and then all waiting customers enter the system simultaneously-each to its own processor-when the system becomes available again. All customers who arrive to find the system in operation proceed directly into service. The analysis of this system entails finding the distribution of the delayed busy period of an M/G/infinity queue. The steady-state distribution of the number of customers in the system is obtained for the special cases of exponential and deterministic service times. Among other applications, our results enable us to analyze and solve for the optimal N-policy for the systems with unlimited service potential. We also study a multiclass model of a polling system with exhaustive service.