Single-Machine Maintenance Activity Scheduling with Convex Resource Constraints and Learning Effects

Zong-Jun Wei, Li-Yan Wang (), Lei Zhang, Ji-Bo Wang and Ershen Wang
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Zong-Jun Wei: School of Science, Shenyang Aerospace University, Shenyang 110136, China
Li-Yan Wang: School of Science, Shenyang Aerospace University, Shenyang 110136, China
Lei Zhang: School of Science, Shenyang Aerospace University, Shenyang 110136, China
Ji-Bo Wang: School of Science, Shenyang Aerospace University, Shenyang 110136, China
Ershen Wang: College of Electronic and Information Engineering, Shenyang Aerospace University, Shenyang 110136, China

Mathematics, 2023, vol. 11, issue 16, 1-21

Abstract: In this paper, the single-machine scheduling problems under the common and slack due date assignments are studied, where the actual processing time of the job needs to consider some factors, such as convex resource allocation, maintenance activity, and learning effects. The goal of this study is to find the optimal sequence, maintenance activity location, resource allocation and common due date (flow allowance). The objective function is (1) to minimize the sum of scheduling cost (including the weighted sum of earliness, tardiness and common due date (flow allowance), where the weights are position-dependent weights) and resource consumption cost, and (2) to minimize the scheduling cost under the resource consumption cost which is bounded. We prove that these problems can be solved in polynomial time.

Keywords: scheduling; learning effect; maintenance activity; resource allocation; due date assignment (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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