A further study on two-agent scheduling on an unbounded serial-batch machine with batch delivery cost

A further study on two-agent scheduling on an unbounded serial-batch machine with batch delivery cost
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具有批量交付成本的无界串行批量机上双智能体调度的进一步研究

DOI:
10.1016/j.cie.2017.07.029
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发表时间:
2017-09
影响因子:
7.9
通讯作者:
Yuan Jinjiang
Yuan Jinjiang
中科院分区:
工程技术2区
文献类型:
--
作者:
Qi Xianglai;Yuan Jinjiang

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对于具有批量交付成本的无界串行批量机器上的双代理调度,Yin 等人。 (2016) 提出了一项综合研究,其中每个代理的目标 (AorB) 是通过他的调度成本加上与该代理的批次数量成比例的批量交付成本来计算的。他们的研究成果中,他们提供了一种多项式时间算法,在agentB的目标不超过给定阈值的约束下最小化agentA的目标,其中agentA的标准是总完成时间加上批量交付成本,agentB的标准是最大迟到加上批量交付成本。我们在本文中通过反例和 Kovalyov 等人提出的算法证明了他们的算法是不正确的。 (2015) 解决相同问题无需批量交付成本可以用来解决 Yin 等人的问题。 (2016)多项式时间内。我们进一步研究了两个相应的帕累托调度问题并提供了多项式时间算法。
For the two-agent scheduling on an unbounded serial-batch machine with batch delivery cost, Yin et al. (2016) presented a comprehensive study, where the objective of each agent (AorB) is calculated by his scheduling cost plus his batch delivery cost proportional to the number of batches of this agent. Among their results, they provided a polynomial-time algorithm for minimizing the objective of agentAsubject to the constraint that the objective of agentBdoes not exceed a given threshold value, where the criterion of agentAis the total completion time plus batch delivery cost and the criterion of agentBis the maximum lateness plus batch delivery cost. We show in this paper that their algorithm is incorrect by a counterexample and the algorithm presented in Kovalyov et al. (2015) for solving the same problem without batch delivery cost can be used to solve the problem in Yin et al. (2016) in polynomial time. We further study two corresponding Pareto scheduling problems and provide polynomial-time algorithms.
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