A decomposition approach to job-shop scheduling problem with discretely controllable processing times

A decomposition approach to job-shop scheduling problem with discretely controllable processing times
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处理时间离散可控的车间调度问题的分解方法

DOI:
10.1007/s11431-010-4249-0
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发表时间:
2011-02
期刊:
Science China Technological Sciences
影响因子:
--
通讯作者:
NIU GangGang, SUN ShuDong, LAFON P. , YANG Hongan
NIU GangGang, SUN ShuDong, LAFON P. , YANG Hongan
中科院分区:
其他
文献类型:
--
作者:
NIU GangGang, SUN ShuDong, LAFON P. , YANG Hongan

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基于析取图对加工时间离散可控的作业车间调度问题(JSP-DCPT)进行了建模,给出了JSP-DCPT的表达式。提出了一种三步分解的方法,使JSP-DCPT可以通过解决一个车间作业调度问题(JSP)和一系列离散的时间成本权衡问题。为了简化分解方法,引入时间-费用相平面描述离散时间-费用权衡问题的权衡,并阐述了基于极值模式的集合优势理论,从而确定了分解方法产生的离散时间-费用权衡问题的上界.提出了一种基于极值模式的集支配分解算法(EMSDDA)。以基于JSP基准测试程序FT 10设计的JSPDCPT_FT10为例进行了仿真实验,验证了所提出的理论和分解方法的有效性。
Job-shop scheduling problem with discretely controllable processing times (JSP-DCPT) is modeled based on the disjunctive graph, and the formulation of JSP-DCPT is presented. A three-step decomposition approach is proposed so that JSP-DCPT can be handled by solving a job-shop scheduling problem (JSP) and a series of discrete time-cost tradeoff problems. To simplify the decomposition approach, the time-cost phase plane is introduced to describe tradeoffs of the discrete time-cost tradeoff problem, and an extreme mode-based set dominant theory is elaborated so that an upper bound is determined to cut discrete time-cost tradeoff problems generated by using the proposed decomposition approach. An extreme mode-based set dominant decomposition algorithm (EMSDDA) is then proposed. Experimental simulations for instance JSPDCPT_FT10, which is designed based on a JSP benchmark FT10, demonstrate the effectiveness of the proposed theory and the decomposition approach.
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