Toward an Efficient Resolution for a Single-machine Bi-objective Scheduling Problem with Rejection

Autor: Moghaddam Atefeh, Teghem Jacques, Tuyttens Daniel, Yalaoui Farouk, Amodeo Lionel
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Foundations of Computing and Decision Sciences, Vol 44, Iss 2, Pp 179-211 (2019)
Druh dokumentu: article
ISSN: 2300-3405
DOI: 10.2478/fcds-2019-0010
Popis: We consider a single-machine bi-objective scheduling problem with rejection. In this problem, it is possible to reject some jobs. Four algorithms are provided to solve this scheduling problem. The two objectives are the total weighted completion time and the total rejection cost. The aim is to determine the set of efficient solutions. Four heuristics are described; they are implicit enumeration algorithms forming a branching tree, each one having two versions according to the root of the tree corresponding either to acceptance or rejection of all the jobs. The algorithms are first illustrated by a didactic example. Then they are compared on a large set of instances of various dimension and their respective performances are analysed.
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