大连理工大学学报
大連理工大學學報
대련리공대학학보
JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY
2008年
6期
932-936
,共5页
王吉波%马力%王利岩%王丹%殷那
王吉波%馬力%王利巖%王丹%慇那
왕길파%마력%왕리암%왕단%은나
排序%单机%学习效应%加权总完工时间%最大延误
排序%單機%學習效應%加權總完工時間%最大延誤
배서%단궤%학습효응%가권총완공시간%최대연오
scheduling%single machine%learning effect%the weighted sum of completion times%the maximum lateness
研究工件具有学习效应的两个单机排序问题.工件的学习效应指的是工件的加工时间为所排位置的函数. 对以下两个目标函数:加权总完工时间与最大延误, 证明在某些特殊情况下加权最小加工时间优先(WSPT)规则和最早工期优先(EDD)规则可以分别给出最优算法. 也给出了这两个规则在一般条件下的最坏情况界.
研究工件具有學習效應的兩箇單機排序問題.工件的學習效應指的是工件的加工時間為所排位置的函數. 對以下兩箇目標函數:加權總完工時間與最大延誤, 證明在某些特殊情況下加權最小加工時間優先(WSPT)規則和最早工期優先(EDD)規則可以分彆給齣最優算法. 也給齣瞭這兩箇規則在一般條件下的最壞情況界.
연구공건구유학습효응적량개단궤배서문제.공건적학습효응지적시공건적가공시간위소배위치적함수. 대이하량개목표함수:가권총완공시간여최대연오, 증명재모사특수정황하가권최소가공시간우선(WSPT)규칙화최조공기우선(EDD)규칙가이분별급출최우산법. 야급출료저량개규칙재일반조건하적최배정황계.
Two single machine scheduling problems with a learning effect are considered. The learning effect of a job is assumed to be a function of its position. For the following two objective functions: the weighted sum of completion times and the maximum lateness, it is shown that the weighted shortest processing time first (WSPT) rule and the earliest due date first (EDD) rule can construct the optimal sequence for some special cases, respectively. The worst case error bounds for these two rules in general cases are also given.