A 5-parameter complexity classification of the two-stage flow shop scheduling problem with job dependent storage requirements
Yakov Zinder (),
Alexandr Kononov () and
Joey Fung ()
Additional contact information
Yakov Zinder: University of Technology
Alexandr Kononov: Sobolev Institute of Mathematics
Joey Fung: BHP
Journal of Combinatorial Optimization, 2021, vol. 42, issue 2, No 5, 276-309
Abstract:
Abstract The paper is concerned with the two-machine scheduling problem where each job is to be processed on the first-stage machine and after that on the second-stage machine. In order to be processed, each job requires storage space that it seizes at the start of its processing on the first-stage machine and releases only at the completion of processing on the second-stage machine. The storage space is limited and its consumption varies from job to job. The goal is to minimise the time needed for the completion of all jobs. All instances of the considered scheduling problem are classified by means of five parameters. This leads to the sixty four families of instances. For each family, the paper establishes its computational complexity and, in the case of polynomial-time solvability, presents a polynomial-time algorithm, constructing an optimal schedule.
Keywords: Computational complexity; Flow shop; Buffer; Polynomial-time algorithms; Resource constrained scheduling (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)
Downloads: (external link)
http://link.springer.com/10.1007/s10878-021-00706-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
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:spr:jcomop:v:42:y:2021:i:2:d:10.1007_s10878-021-00706-4
Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10878
DOI: 10.1007/s10878-021-00706-4
Access Statistics for this article
Journal of Combinatorial Optimization is currently edited by Thai, My T.
More articles in Journal of Combinatorial Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().