Proportionate Flow Shop Scheduling with Two Competing Agents to Minimize Weighted Late Work and Weighted Number of Late Jobs

Ren-Xia Chen () and Shi-Sheng Li
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Ren-Xia Chen: Department of Applied Mathematics, Zhongyuan University of Technology, Zhengzhou 450007, P. R. China
Shi-Sheng Li: Department of Information and Computation Science, Zhongyuan University of Technology, Zhengzhou 450007, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2021, vol. 38, issue 02, 1-19

Abstract: We investigate a competitive two-agent scheduling problem in the setting of proportionate flow shop, where the job processing times are machine-independent. The scheduling criterion of one agent is to minimize its total weighted late work, and the scheduling criterion of the other agent is to minimize its total weighted number of late jobs. The goal is to find the Pareto-optimal curve (i.e., the set of all Pareto-optimal points) and identify a corresponding Pareto-optimal schedule for each Pareto-optimal point. An exact pseudo-polynomial-time algorithm and an 𝜖-approximate Pareto-optimal curve are designed to solve the problem, respectively.

Keywords: Scheduling; proportionate flow shop; two-agent; late work; number of late jobs (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0217595920500463

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