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Single machine scheduling with resource allocation and learning effect considering the rate-modifying activity

Zhanguo Zhu 1, 2, 3 Feng Chu 4 Linyan Sun 1, 5 Ming Liu 6
1 School of Management
2 College of Economics and Management
3 LOSI - Laboratoire d'Optimisation des Systèmes Industriels
ICD - Institut Charles Delaunay
4 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
5 State Key Laboratory for Mechanical Manufacturing Systems Engineering
6 School of Economics and Management
Abstract : This paper addresses a single machine scheduling problem in which the actual job processing times are determined by resource allocation function, its position in a sequence and a rate-modifying activity simultaneously. We discuss two objective functions with two resource allocation functions under the consideration of a rate-modifying activity. We show that the problems are solvable in O(n4) time for a linear resource allocation function and are solvable in O(n2logn) time for a convex resource allocation function.
Keywords : Rate-modifying activity Learning effect Resource allocation Scheduling
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00807717
Contributor : Frédéric Davesne <>
Submitted on : Thursday, April 4, 2013 - 11:06:46 AM
Last modification on : Tuesday, June 30, 2020 - 11:56:07 AM

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Zhanguo Zhu, Feng Chu, Linyan Sun, Ming Liu. Single machine scheduling with resource allocation and learning effect considering the rate-modifying activity. Applied Mathematical Modelling, Elsevier, 2013, 37 (7), pp.5371-5380. ⟨10.1016/j.apm.2012.09.072⟩. ⟨hal-00807717⟩

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