关于带运输的单机调度在线问题的研究

doi:10.15960/j.cnki.issn.1007-6093.2022.01.009

Abstract

Abstract:

This paper studies the single machine online scheduling problem with transporters. The problem assumes that the jobs arrive online over time, and there is only a single transporter in the system, which transports up to $k$ jobs each time. Each job needs to be processed on a single machine, and then transported to the destination by the transporter. The objective of the problem is to minimize the makespan, that is, the shortest time for all jobs to be processed and transported to the destination. For this problem, this paper studies the agreeable model, and proposes an online algorithm with the competitive ratio of $\frac{\sqrt{5}+1}{2}$ based on the greedy strategy, in the end, the algorithm is proved to be the optimal online algorithm.

Key words: transporter, single machine scheduling, online algorithm

CLC Number:

O157

Yinling WANG, Xin HAN, Xinxin SHAO. Online single machine scheduling problem with transportation[J]. Operations Research Transactions, 2022, 26(1): 125-133.

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URL: https://www.ort.shu.edu.cn/EN/10.15960/j.cnki.issn.1007-6093.2022.01.009

https://www.ort.shu.edu.cn/EN/Y2022/V26/I1/125

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Online single machine scheduling problem with transportation

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