Polynomial time algorithm for minmax scheduling with common due-window and proportional-linear shortening processing times.
Math Biosci Eng
; 19(9): 8923-8934, 2022 06 20.
Article
em En
| MEDLINE
| ID: mdl-35942742
ABSTRACT
This article deals with common due-window assignment and single-machine scheduling with proportional-linear shortening processing times. Objective cost is a type of minmax, that is, the maximal cost among all processed jobs is minimized. Our goal is to determine an optimal schedule, the optimal starting time, and size of due-window that minimize the worst cost, which consist of four parts earliness, tardiness, starting time and length of the due-window. Optimal properties of the problem are given, and then an optimal polynomial algorithm is proposed to solve the problem.
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MEDLINE
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Algoritmos
Idioma:
En
Ano de publicação:
2022
Tipo de documento:
Article
País de afiliação:
China