Proportionate Flow Shop Scheduling with Job-dependent Due Windows and Position-dependent Weights

Ji-Bo Wang (), Dan-Yang Lv () and Congying Wan
Additional contact information
Ji-Bo Wang: School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang 110136, P. R. China
Dan-Yang Lv: School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang 110136, P. R. China
Congying Wan: Institute of Economic and Social Development, Dongbei University of Finance and Economics Dalian, Liaoning 116025, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2025, vol. 42, issue 02, 1-17

Abstract: In this paper, we deal with the different due windows assignment proportionate flow shop problem with position-dependent weights, where the sequence is a permutation. The objective is to determine an optimal job sequence and due windows of all jobs such that the weighted sum of earliness–tardiness, the starting time and size of all due windows is to be minimized, where the weight is not related to the job but to the position in which some job is scheduled, i.e., position-dependent weights. According to a series of optimal properties, we prove that the problem can be solved in polynomial time O(n2), where n is the number of jobs.

Keywords: Scheduling; flow shop; due windows; earliness–tardiness; position-dependent weights (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595924500118
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:42:y:2025:i:02:n:s0217595924500118

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595924500118

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().