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工件可外包的单机准时排序问题
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作者 李寒雪 樊保强 +3 位作者 陈继文 郭志佳 杨燕英 李欣 《重庆师范大学学报(自然科学版)》 CAS 北大核心 2019年第6期15-21,共7页
【目的】研究一类单机准时排序问题,其中工件有公共的交货期和交货截止期,允许工件外包加工,外包加工将产生外包费用,目标是极小化总提前时间,总延迟时间与总外包费用之和。【方法】首先给出该问题的若干最优性性质,然后对于交货期和交... 【目的】研究一类单机准时排序问题,其中工件有公共的交货期和交货截止期,允许工件外包加工,外包加工将产生外包费用,目标是极小化总提前时间,总延迟时间与总外包费用之和。【方法】首先给出该问题的若干最优性性质,然后对于交货期和交货截止期都待定,以及给定交货截止期两种情形分别讨论。【结果】对于第一种情形,设计了多项式时间算法,对于第二种情形,证明了它是NP-困难的并设计了伪多项式时间的动态规划算法。【结论】所讨论的单机准时排序问题所得到的结果为冷鲜食品生产管理者提供了有效决策支持。 展开更多
关键词 准时排序 动态规划 外包费用 算法
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具有相同批容量和相同工期的单机准时分批排序问题 被引量:1
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作者 李文华 农庆琴 陈铁生 《数学的实践与认识》 CSCD 北大核心 2013年第24期158-163,共6页
研究具有相同批容量和相同工期的单机准时分批排序问题.这里相同批容量是指每批加工的工件数相同且恰为b个.准时排序要求工件在工期准时完工,提前或误工均受到惩罚.在两种分批方式下进行排序:继列分批和平行分批.目标函数为最小化加权... 研究具有相同批容量和相同工期的单机准时分批排序问题.这里相同批容量是指每批加工的工件数相同且恰为b个.准时排序要求工件在工期准时完工,提前或误工均受到惩罚.在两种分批方式下进行排序:继列分批和平行分批.目标函数为最小化加权总绝对误差和加权非准时惩罚.这里的权重不是工件自身所拥有的,而是工件所在的批一旦排在某个位置所获得的位置权重.证明了这些问题均可在O(nlogn)时间内解决. 展开更多
关键词 准时排序 单机 分批 批容量 工期
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Flow shop rescheduling problem under rush orders 被引量:2
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作者 胡燕海 严隽琪 +1 位作者 叶飞帆 于军合 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第10期1040-1046,共7页
In the environment of customization, disturbances such as rush orders and material shortages often occur in the manufacturing system, so rescheduling is necessary for the manufacturing system. The rescheduling methodo... In the environment of customization, disturbances such as rush orders and material shortages often occur in the manufacturing system, so rescheduling is necessary for the manufacturing system. The rescheduling methodology should be able to dispose of the disturbance efficiently so as to keep production going smoothly. This aims researching flow shop rescheduling problem (FSRP) necessitated by rush orders. Disjunctive graph is employed to demonstrate the FSRP. For a flow shop processing n jobs, after the original schedule has been made, and z out of n jobs have been processed in the flow shop, x rush orders come, so the original n jobs together with x rush orders should be rescheduled immediately so that the rush orders would be processed in the shortest time and the original jobs could be processed subject to some optimized criteria. The weighted mean flow time of both original jobs and rush orders is used as objective function. The weight for rush orders is much bigger than that of the original jobs, so the rush orders should be processed early in the new schedule. The ant colony optimization (ACO) algorithm used to solve the rescheduling problem has a weakness in that the search may fall into a local optimum. Mutation operation is employed to enhance the ACO performance. Numerical experiments demonstrated that the proposed algorithm has high computation repeatability and efficiency. 展开更多
关键词 Flow shop rescheduling Dynamic scheduling Rush order Ant colony optimization Mutation operation
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Single Machine Scheduling Problem with Release Dates and Two Hierarchical Criteria to Minimize Makespan and Stocking Cost
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作者 LI Wen-hua 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第1期103-109,共7页
In this paper, the single machine scheduling problem with release dates and two hierarchical criteria is discussed. The first criterion is to minimize makespan, and the second criterion is to minimize stocking cost. W... In this paper, the single machine scheduling problem with release dates and two hierarchical criteria is discussed. The first criterion is to minimize makespan, and the second criterion is to minimize stocking cost. We show that this problem is strongly NP-hard. We also give an O(n^2) time algorithm for the special case that all stocking costs of jobs in unit time are 1. 展开更多
关键词 scheduling release dates hierarchical criteria
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