Single machine scheduling problems with general breakdowns, earliness and tardiness costs
成果类型：
Article
署名作者：
Federgruen, A; Mosheiov, G
署名单位：
Hebrew University of Jerusalem
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.45.1.66
发表日期：
1997
页码：
66-71
关键词：
摘要：
In this paper we consider single machine scheduling problems with a common due-date for all jobs, arbitrary monotone earliness and tardiness costs and arbitrary breakdown and repair processes. We show that the problem is equivalent to a deterministic one without breakdowns and repairs and with an equivalent cost function of a Sob's completion time. A V-shaped schedule without idle times is shown to be optimal, if this equivalent cost function is quasi-convex. Conversely, we show that a V-shaped schedule may fail to be optimal if the property does not apply. We derive general conditions for the earliness and tardiness cost structure and repair and breakdown processes under which the equivalent cost function is quasi-convex, When a V-shaped schedule is optimal, an efficient (though pseudo-polynomial) algorithm can be used to compute an optimal schedule.