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带有一个不可用区间的两台平行机可拒绝排序问题

池晶晶 孙燕

曲阜师范大学学报(自然科学版)Issue(1):36-41,6.
曲阜师范大学学报(自然科学版)Issue(1):36-41,6.DOI:10.3969/j.issn.1001-5337.2016.1.036

带有一个不可用区间的两台平行机可拒绝排序问题

Order Acceptance and Two Parallel Machines Scheduling Problem with an Availability Constraint

池晶晶 1孙燕2

作者信息

  • 1. 曲阜师范大学管理学院,276826,日照市
  • 2. 高密市柴沟镇王柱中心学校,261519,山东省高密市
  • 折叠

摘要

Abstract

This paper considers a two parallel machines scheduling problem,which one machine has a fixed availability constraint and the manufacturer can reject orders by paying penalties.The objective is to mini-mize the makespan of the accepted orders plus the total penalties of the rejected orders.Two cases,resumable and nonresumable are discussed in this paper.Moreover,a pseudo-polynomial time algorithm based on dynamic programming is proposed for each to solve the problem optimally,which runs in time O (ns 1 P 2 )and O (np max s 1 P 2 ),respectively.

关键词

排序/拒绝/一个不可用区间/动态规划

Key words

scheduling/rejection/an availability constraint/dynamic programming

分类

数理科学

引用本文复制引用

池晶晶,孙燕..带有一个不可用区间的两台平行机可拒绝排序问题[J].曲阜师范大学学报(自然科学版),2016,(1):36-41,6.

基金项目

Special Funds of the National Natural Science Foundation (61340045);Specialized Research Fund for the Doctoral Pro-gram of Higher Education (20123705110003);Innovation Project of Shandong Graduate Education under Grant (SDYC13036). ()

曲阜师范大学学报(自然科学版)

1001-5337

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