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 prop...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.展开更多
加工时间离散可控作业车间调度问题(Job-shop scheduling problem with discretely controllable processing times,JSP-DCPT)是经典作业车间调度问题(Job-shop scheduling problem,JSP)的一类扩展问题。为避免通过多项式时间近似方法求...加工时间离散可控作业车间调度问题(Job-shop scheduling problem with discretely controllable processing times,JSP-DCPT)是经典作业车间调度问题(Job-shop scheduling problem,JSP)的一类扩展问题。为避免通过多项式时间近似方法求解JSP-DCPT的近似问题,提出一种混合算法直接求解JSP-DCPT。该算法基于分解方法,嵌套一种禁忌搜索模拟退火混合算法TSSA和一种快速精英保留非支配排序遗传算法NSGA-II,以分别高效求解JSP-DCPT分解所得的JSP子问题和离散时间—成本权衡子问题。基于JSP标准算例FT06,FT10和FT20构造3个不同问题规模的测试算例,试验仿真结果表明,混合算法能够得到收敛的帕累托边界。展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 51075337, 50705076, 50705077)the Natural Sci-ence Basic Research Plan in Shaanxi Province of China (Grant No. 2009JQ9002)
文摘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.
文摘加工时间离散可控作业车间调度问题(Job-shop scheduling problem with discretely controllable processing times,JSP-DCPT)是经典作业车间调度问题(Job-shop scheduling problem,JSP)的一类扩展问题。为避免通过多项式时间近似方法求解JSP-DCPT的近似问题,提出一种混合算法直接求解JSP-DCPT。该算法基于分解方法,嵌套一种禁忌搜索模拟退火混合算法TSSA和一种快速精英保留非支配排序遗传算法NSGA-II,以分别高效求解JSP-DCPT分解所得的JSP子问题和离散时间—成本权衡子问题。基于JSP标准算例FT06,FT10和FT20构造3个不同问题规模的测试算例,试验仿真结果表明,混合算法能够得到收敛的帕累托边界。
