A Boltzmann-Based Estimation of Distribution Algorithm for a General Resource Scheduling Model

Most researchers employed common functional models when managing scheduling problems with controllable processing times. However, in many complicated manufacturing systems with a high diversity of jobs, these functional resource models fail to reflect their specific characteristics. To fulfill these...

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Published in:	IEEE transactions on evolutionary computation Vol. 19; no. 6; pp. 793 - 806
Main Authors:	Xinle Liang, Huaping Chen, Lozano, Jose A.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.12.2015 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Approximation methods Boltzmann distribution Complexity theory Controllable processing times Discrete model Estimation Estimation of distribution algorithm Production scheduling Resource management Scheduling Simulation Sociology Boltzmann distribution scheduling controllable processing times discrete model estimation of distribution algorithm (EDA)
ISSN:	1089-778X, 1941-0026
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Abstract	Most researchers employed common functional models when managing scheduling problems with controllable processing times. However, in many complicated manufacturing systems with a high diversity of jobs, these functional resource models fail to reflect their specific characteristics. To fulfill these requirements, we apply a more general model, the discrete model. Traditional functional models can be viewed as special cases of such model. In this paper, the discrete model is implemented on a problem of minimizing the weighted resource allocation subject to a common deadline on a single machine. By reducing the problem to a partition problem, we demonstrate that it is NP-complete, which addresses the difficult issue of the guarantee of both the solution quality and time cost. In order to tackle the problem, we develop an estimation of distribution algorithm based on an approximation of the Boltzmann distribution. The approximation strategy represents a tradeoff between complexity and solution accuracy. The results of the experiments conducted on benchmarks show that, compared with other alternative approaches, the proposed algorithm has competitive behavior, obtaining 74 best solutions out of 90 instances.
AbstractList	Most researchers employed common functional models when managing scheduling problems with controllable processing times. However, in many complicated manufacturing systems with a high diversity of jobs, these functional resource models fail to reflect their specific characteristics. To fulfill these requirements, we apply a more general model, the discrete model. Traditional functional models can be viewed as special cases of such model. In this paper, the discrete model is implemented on a problem of minimizing the weighted resource allocation subject to a common deadline on a single machine. By reducing the problem to a partition problem, we demonstrate that it is NP-complete, which addresses the difficult issue of the guarantee of both the solution quality and time cost. In order to tackle the problem, we develop an estimation of distribution algorithm based on an approximation of the Boltzmann distribution. The approximation strategy represents a tradeoff between complexity and solution accuracy. The results of the experiments conducted on benchmarks show that, compared with other alternative approaches, the proposed algorithm has competitive behavior, obtaining 74 best solutions out of 90 instances.
Author	Lozano, Jose A. Xinle Liang Huaping Chen
Author_xml	– sequence: 1 surname: Xinle Liang fullname: Xinle Liang email: shindler@mail.ustc.edu.cn organization: Sch. of Comput. Sci. & Technol., Univ. of Sci. & Technol. of China, Hefei, China – sequence: 2 surname: Huaping Chen fullname: Huaping Chen organization: Sch. of Comput. Sci. & Technol., Univ. of Sci. & Technol. of China, Hefei, China – sequence: 3 givenname: Jose A. surname: Lozano fullname: Lozano, Jose A. organization: Dept. of Comput. Sci. & Artificial IntelligenceIntelligent Syst. Group, Univ. of the Basque Country, Leioa, Spain
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SubjectTerms	Approximation methods Boltzmann distribution Complexity theory Controllable processing times Discrete model Estimation Estimation of distribution algorithm Production scheduling Resource management Scheduling Simulation Sociology
Title	A Boltzmann-Based Estimation of Distribution Algorithm for a General Resource Scheduling Model
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