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具有指数和位置学习效应的机器排序问题

张新功 严广乐 唐国春 唐海波

运筹与管理2011,Vol.20Issue(2):97-101,5.
运筹与管理2011,Vol.20Issue(2):97-101,5.

具有指数和位置学习效应的机器排序问题

Some Scheduling Problems With Exponential Time-dependent and Position-based Learning Effect

张新功 1严广乐 2唐国春 1唐海波3

作者信息

  • 1. 上海理工大学,管理学院,上海,200093
  • 2. 重庆师范大学数学学院,重庆,400047
  • 3. 上海第二工业大学管理工程研究所,上海,201209
  • 折叠

摘要

Abstract

In this paper, we introduce a new scheduling model in which both exponential time-dependent learning effect and position-based learning effect exist simultaneously.The actual processing time of a job depends not only on an exponent function of the total normal processing time of the already processed jobs but also on its scheduled position.For the single-machine case, we derive polynomial-time optimal solutions for the problems to minimize makespan and the total completion time.In addition, we also show that the total weighted completion time problem and the maximum lateness problem can be solved in polynomial time under certain conditions.For the case of m-machine permutation flowshop, we present polynomial-time optimal for some special cases of the problems to minimize makespan and the total completion time.

关键词

排序/单机排序/流水机排序/学习效应

Key words

scheduling/ single-machine/ flowshop/ learning effect

分类

数理科学

引用本文复制引用

张新功,严广乐,唐国春,唐海波..具有指数和位置学习效应的机器排序问题[J].运筹与管理,2011,20(2):97-101,5.

基金项目

上海市重点学科(S30504),中港联合科研基金(20710015),上海市研究生教育创新计划资助(JWCXSL1001) (S30504)

运筹与管理

OA北大核心CHSSCDCSCDCSTPCD

1007-3221

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