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J4 ›› 2012, Vol. 47 ›› Issue (3): 77-80.

• 数学 • 上一篇    下一篇

交货期窗口待定的有界同时加工排序问题的最优算法

韩国勇,赵洪銮,刘浩,刘振栋,张志军   

  1. 山东建筑大学计算机科学与技术学院, 山东 济南 250101
  • 收稿日期:2010-08-09 出版日期:2012-03-20 发布日期:2012-04-01
  • 作者简介:韩国勇(1978- ),男,硕士,实验师, 研究方向为数值计算. Email:hgy-126@126.com
  • 基金资助:

    山东省科技发展计划项目(2010GGX10129);山东省自然科学基金资助项目(Y2008G29)

The algorithm of the bounded batch scheduling problem  with a decision due window

HAN Guo-yong, ZHAO Hong-luan, LIU Hao, LIU Zhen-dong, ZHANG Zhi-jun   

  1. School of Computer Science & Technology, Shandong Jianzhu University, Jinan 250101,  Shandong, China
  • Received:2010-08-09 Online:2012-03-20 Published:2012-04-01

摘要:

结合窗时排序与同时加工排序,考虑单机器上批容量有限的情形,为享有公共交货期窗口[e, d]的n个工件分批并排序,以最小化总的赋权提前和延误的工件个数;将最早交货期e和窗口大小K作为未知参数,与最优序列一起确定使得总费用最小。在给出的最优排序的若干性质基础上提出了多项式时间算法。

关键词: 批;交货期窗口;提前;延误

Abstract:

The due window situation is combined with the conception of batch so that the jobs can be processed in batches on a single machine. To minimize the weighted number of early and tardy jobs, the batch is bounded and all the jobs share a common due window[e, d]. Further, the location and size of the due window are decision variables, and the optimal sequence is determined. An efficient algorithm is proposed with several optimal properties.

Key words: batch; due window; earliness; tardiness

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