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一类新的单机工期指派模糊调度算法研究

易国荣 李金权 顾文豪

聊城大学学报(自然科学版)2024,Vol.37Issue(4):1-13,13.
聊城大学学报(自然科学版)2024,Vol.37Issue(4):1-13,13.DOI:10.19728/j.issn1672-6634.2023080002

一类新的单机工期指派模糊调度算法研究

A New Fuzzy Scheduling Algorithm for Single Machine Duration Assignment

易国荣 1李金权 2顾文豪3

作者信息

  • 1. 北京理工大学(珠海)信息学院,广东 珠海,519088
  • 2. 北京师范大学珠海分校 应用数学学院,广东 珠海 519087
  • 3. 北京师范大学 文理学院,广东 珠海 519087
  • 折叠

摘要

Abstract

In this paper,a single machine due date assignment scheduling optimization problem in fuzzy environment is investigated,which objective function is to minimize the total cost of earliness-tardiness penalties by arranging the processing sequence of jobs and setting due dates for each job.In this type of scheduling problem,asymmetric triangular fuzzy numbers are used to describe the processing times of jobs,and weighted possible mean value of fuzzy numbers is used to compute the average value of the total costs of penalties;Based on a kind of weight functions,the optimal due dates of each job are obtained,and moreover,a new scheduling algorithm is proposed;Based on this type of method,it has been proven that the problem investigated in this pater is polynomial solvable.In numerical experiments,when the comple-tion time of the jobs follows different asymmetric distributions,compared with existing methods,the re-sults show that the method proposed in this paper can more effectively reduce costs.

关键词

工期指派/模糊调度/非对称三角模糊数

Key words

due date assignment/fuzzy scheduling/asymmetric triangular fuzzy numbers

分类

数理科学

引用本文复制引用

易国荣,李金权,顾文豪..一类新的单机工期指派模糊调度算法研究[J].聊城大学学报(自然科学版),2024,37(4):1-13,13.

基金项目

国家自然科学基金项目(11971065)资助 (11971065)

聊城大学学报(自然科学版)

OACHSSCD

1672-6634

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