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一类线性加工时间单机调度问题

赵传立 张庆灵 唐恒永

自动化学报2003,Vol.29Issue(5):703-708,6.
自动化学报2003,Vol.29Issue(5):703-708,6.

一类线性加工时间单机调度问题

Single Machine Scheduling with Linear Processing Times

赵传立 1张庆灵 2唐恒永1

作者信息

  • 1. 东北大学理学院,沈阳,110004
  • 2. 沈阳师范大学数学系,沈阳,110034
  • 折叠

摘要

Abstract

This paper considers the single machine scheduling problem. It is assumed that jobs have the same basic processing time, but the actual processing time of each job grows linearly with its starting time. Based on the analysis of the problem, optimal algorithms are presented for the problems to minimize the sum of earliness penalties subject to no tardy jobs, to minimize the total resource consumption with makespan constraints, and to minimize makespan with the total resource consumption constraints.

关键词

调度/单机/提前惩罚/资源约束/最优算法

Key words

Scheduling/single machine/earliness penalties/resource constrained/optimal algorithm

分类

信息技术与安全科学

引用本文复制引用

赵传立,张庆灵,唐恒永..一类线性加工时间单机调度问题[J].自动化学报,2003,29(5):703-708,6.

基金项目

Supported by Doctor Thesis Foundation of Northeastern University(200208) (200208)

自动化学报

OA北大核心CSCDCSTPCD

0254-4156

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