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Research on job shop scheduling under uncertainty

Published: 12 June 2009 Publication History

Abstract

In many real world applications, the processing time of products in Job Shop scheduling problems is not a fixed value, and may vary dynamically with the situation. In this study, the scheduling mathematical model of Job Shop problems with uncertain processing time has been established based on fuzzy programming theory. The uncertain processing time can be described by the triangular fuzzy numbers, and the Maximum Membership Functions of Mean Value method is applied to convert the fuzzy scheduling model to the general optimization model. Furthermore, a fuzzy immune scheduling algorithm combined with the feature of the Immune Algorithm is proposed, which can prevents the possibility of stagnation in the iteration process and achieves fast convergence for global optimization. The effectiveness and efficiency of the fuzzy scheduling model and the proposed algorithm are demonstrated by simulation results.

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Cited By

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  • (2019)A Hybrid Cooperative Coevolution Algorithm for Fuzzy Flexible Job Shop SchedulingIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2019.289556227:5(1008-1022)Online publication date: May-2019

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    cover image ACM Conferences
    GEC '09: Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
    June 2009
    1112 pages
    ISBN:9781605583266
    DOI:10.1145/1543834
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 12 June 2009

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    Author Tags

    1. immune algorithm
    2. job shop
    3. scheduling
    4. uncertainty

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    • (2019)A Hybrid Cooperative Coevolution Algorithm for Fuzzy Flexible Job Shop SchedulingIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2019.289556227:5(1008-1022)Online publication date: May-2019

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