Just-In-Time Scheduling with Generalized Due Dates and Identical Due Date Intervals

Byung-Cheon Choi () and Myoung-Ju Park
Additional contact information
Byung-Cheon Choi: School of Business, Chungnam National University, 99 Daehak-ro, Yuseong-gu, Daejeon 34134, Korea
Myoung-Ju Park: Department of Industrial and Management Systems Engineering, Kyung Hee University, 1732, Deogyeong-daero, Giheung-gu, Yongin-si, Kyunggi-do 17104, Korea

Asia-Pacific Journal of Operational Research (APJOR), 2018, vol. 35, issue 06, 1-13

Abstract: We consider a single-machine scheduling problem such that the due dates are assigned not to the jobs but to the position at which the job is processed. We focus on the case with identical due date intervals. The objective is to minimize the weighted number of early and tardy jobs. First, we show that the problem is strongly NP-hard and has no ρ-approximation algorithm for any fixed value ρ > 1. Then, we investigate polynomially solvable cases. Finally, we show that the preemption version is weakly NP-hard through its equivalence to the problem of minimizing the weighted number of tardy jobs.

Keywords: Single-machine scheduling; generalized due dates; just-in-time (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S021759591850046X
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:35:y:2018:i:06:n:s021759591850046x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S021759591850046X

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 ().