Restarted Iterated Pareto Greedy algorithm for multi-objective flowshop scheduling problems

Multi-objective optimisation problems have seen a large impulse in the last decades. Many new techniques for solving distinct variants of multi-objective problems have been proposed. Production scheduling, as with other operations management fields, is no different. The flowshop problem is among the...

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Published in:Computers & operations research Vol. 38; no. 11; pp. 1521 - 1533
Main Authors: Minella, Gerardo, Ruiz, Rubén, Ciavotta, Michele
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.11.2011
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Pergamon Press Inc
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ISSN:0305-0548, 1873-765X, 0305-0548
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Abstract Multi-objective optimisation problems have seen a large impulse in the last decades. Many new techniques for solving distinct variants of multi-objective problems have been proposed. Production scheduling, as with other operations management fields, is no different. The flowshop problem is among the most widely studied scheduling settings. Recently, the Iterated Greedy methodology for solving the single-objective version of the flowshop problem has produced state-of-the-art results. This paper proposes a new algorithm based on Iterated Greedy technique for solving the multi-objective permutation flowshop problem. This algorithm is characterised by an effective initialisation of the population, management of the Pareto front, and a specially tailored local search, among other things. The proposed multi-objective Iterated Greedy method is shown to outperform other recent approaches in comprehensive computational and statistical tests that comprise a large number of instances with objectives involving makespan, tardiness and flowtime. Lastly, we use a novel graphical tool to compare the performances of stochastic Pareto fronts based on Empirical Attainment Functions.
AbstractList Multi-objective optimisation problems have seen a large impulse in the last decades. Many new techniques for solving distinct variants of multi-objective problems have been proposed. Production scheduling, as with other operations management fields, is no different. The flowshop problem is among the most widely studied scheduling settings. Recently, the Iterated Greedy methodology for solving the single-objective version of the flowshop problem has produced state-of-the-art results. This paper proposes a new algorithm based on Iterated Greedy technique for solving the multi-objective permutation flowshop problem. This algorithm is characterised by an effective initialisation of the population, management of the Pareto front, and a specially tailored local search, among other things. The proposed multi-objective Iterated Greedy method is shown to outperform other recent approaches in comprehensive computational and statistical tests that comprise a large number of instances with objectives involving makespan, tardiness and flowtime. Lastly, we use a novel graphical tool to compare the performances of stochastic Pareto fronts based on Empirical Attainment Functions. [PUBLICATION ABSTRACT]
Multi-objective optimisation problems have seen a large impulse in the last decades. Many new techniques for solving distinct variants of multi-objective problems have been proposed. Production scheduling, as with other operations management fields, is no different. The flowshop problem is among the most widely studied scheduling settings. Recently, the Iterated Greedy methodology for solving the single-objective version of the flowshop problem has produced state-of-the-art results. This paper proposes a new algorithm based on Iterated Greedy technique for solving the multi-objective permutation flowshop problem. This algorithm is characterised by an effective initialisation of the population, management of the Pareto front, and a specially tailored local search, among other things. The proposed multi-objective Iterated Greedy method is shown to outperform other recent approaches in comprehensive computational and statistical tests that comprise a large number of instances with objectives involving makespan, tardiness and flowtime. Lastly, we use a novel graphical tool to compare the performances of stochastic Pareto fronts based on Empirical Attainment Functions.
Author Minella, Gerardo
Ciavotta, Michele
Ruiz, Rubén
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  givenname: Michele
  surname: Ciavotta
  fullname: Ciavotta, Michele
  email: mciavotta@iti.upv.es
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Issue 11
Keywords Iterated Greedy
Scheduling
Flowshop
Multi-objective
Local search
Population management
Pareto optimum
Permutation
Empirical method
Multiobjective programming
Makespan
Delay
Production management
Statistical test
Greedy algorithm
Flow shop
Impulse
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Snippet Multi-objective optimisation problems have seen a large impulse in the last decades. Many new techniques for solving distinct variants of multi-objective...
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SubjectTerms Algorithms
Applied sciences
Decision theory. Utility theory
Exact sciences and technology
Flowshop
Greedy algorithms
Inventory control, production control. Distribution
Iterated Greedy
Iterative methods
Job shops
Mathematical problems
Multi-objective
Operational research and scientific management
Operational research. Management science
Operations management
Operations research
Optimization algorithms
Pareto optimality
Pareto optimum
Permutations
Production scheduling
Scheduling
Scheduling, sequencing
Searching
State of the art
Studies
Title Restarted Iterated Pareto Greedy algorithm for multi-objective flowshop scheduling problems
URI https://dx.doi.org/10.1016/j.cor.2011.01.010
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Volume 38
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