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Approximating multi-objective scheduling problems

delete2013-05-01
delete16
PRE
AI
S
Said Dabia *
E
El‐Ghazali Talbi
T
Tom Van Woensel
D
De Kok, Ton
DOI:10.1016/j.cor.2012.12.001delete
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摘要

摘要

En 中文
In many practical situations, decisions are multi-objective by nature. In this paper, we propose a generic approach to deal with multi-objective scheduling problems (MOSPs). The aim is to determine the set of Pareto solutions that represent the interactions between the different objectives. Due to the complexity of MOSPs, an efficient approximation based on dynamic programming is developed. The approximation has a provable worst case performance guarantee. Even though the approximate Pareto set consists of fewer solutions, it represents a good coverage of the true set of Pareto solutions. We consider generic cost parameters that depend on the state of the system. Numerical results are presented for the time-dependent multi-objective knapsack problem, showing the value of the approximation in the special case when the state of the system is expressed in terms of time. (C) 2012 Elsevier Ltd. All rights reserved.
Keyword:
Multi-objective decisions
State-dependent costs
Approximation
Dynamic programming
c-Dominance
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C
Computers and Operations Research
IF:
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centre national de la recherche scientifique (cnrs)
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Inria
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Eindhoven University of Technology
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