A note on convexity of the expected delay cost in single-server queues
成果类型：
Article
署名作者：
Fridgeirsdottir, K; Chiu, S
署名单位：
University of London; London Business School; Stanford University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.1040.0173
发表日期：
2005
页码：
568-570
关键词：
摘要：
In this note, we show that the expected delay cost for a G/G/1 queue is not necessarily convex in the arrival rate as sometimes claimed in the literature. We can prove, however, that the total expected delay cost rate is convex in the arrival rate. This cost rate is often of interest when designing queueing systems.