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Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This paper deals with the study of makespan optimization for the flow-shop production systems with or without infinite buffers between machines. Two scheduling algorithms are presented. They are based on several ideas from global optimization for continuous functions. In particular, ψ-transform technique is employed. This is a very interesting research direction to find heuristics with solid theoretical foundations and with a possibility to estimate subsequently their error. Consequently, problems of real size and actual complexity can be dealt with a certain confidence in the quality of the results. The algorithms proposed include also the Petrov matrix and the Gilmore-Gomory methods. The effciency of the algorithms proposed is illustrated with numerical tests on examples known in literature and on randomly generated tests.(original abstract)
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
19-25
Opis fizyczny
Twórcy
autor
- Ecole des Mines de Saint Etienne, France
autor
- World Bank, USA
Bibliografia
- Tanaev V.S., Gordon V.S. and Shafranski Y.M., Scheduling Theory. Single-Stage Systems, Kluwer Academic Publishers, 1994.
- Nigmatullin R.G., Complexity of Approximate Methods for Combinatorial Problems, Soviet Mathematical Doklady, 16, 1199-1203, 1975.
- Chu C. and Proth J.-M., L'ordonnancement et ses applications, Masson, Paris, 1996.
- Johnson S.M., Optimal two-and three-stage production schedules with setup times included, Naval Research Logistics Quarterly, 1, 61-68, 1954.
- Proust C., Influence des idées de S.M. Johnson sur la résolution de problémes d'ordonnancement de type n/m/F, contraintes diverses/Cmax, Working paper, Laboratoire d'Informatique, Universit´e de Tours, France, 1989.
- Osman I.H., Potts C.N., Simulated annealing for permutation flow-shop scheduling, Omega, 17, (6), 551-557, 1989.
- Ladhari T., and Haouari M., A computational study of the permutation flow shop problem based on a tight lower bound, Computers & Operations Research, 32 (7), 1831-1847, 2005.
- Zobolas G.I., Tarantilis C.D., and Ioannou G., Minimizing makespan in permutation flow shop scheduling problems using a hybrid metaheuristic algorithm, Computers & Operations Research, 36 (4), 1249-1267, 2009.
- Laha D., and Sarin S.C., A heuristic to minimize total flow time in permutation flow shop, Omega, 37 (3), 734-739, 2009.
- Ribas I., Companys R., and Tort-Martorell X., Comparing three-step heuristics for the permutation flow shop problem, Computers & Operations Research, 37 (12), 2062-2070, 2010.
- Tanaev V.S., Sotskov Y.N. and Strusevitch V.A., Scheduling Theory. Multi-Stage Systems, Kluwer Academic Publishers, 1994.
- Petrov V., Manufacturing System Planning, Mashinostroenie, Leningrad, 1966a - in Russian.
- Petrov V., Flow Line Group Production Planning. Business Publications, London, 1966b.
- Lvov Y., Research of Optimal Flow-shop Scheduling Using Stochastic Methods, Works of the Institute for Engineering and Economy of Leningrad, 62/2, 15-33, 1966 - in Russian.
- Campbell H.G., Dudek R.A. and Smith M.L., A Heuristic Algorithm for the n Job, m Machine Sequencing Problem, Management Science, 16, B630-B637, 1970.
- Ofitserov D., Computer-Aided Production Planning in an Automatic Factory, Ph.D. Dissertation, Institute of Engineering Cybernetics, Minsk, Belarus, 1987.
- Taha H.A., Operations research: An Introduction, MacMillan Publishing Co, Inc. New York, 1982.
- Feigin L., Statistic Estimation of Optimum in the General Scheduling Problem, Izvestia AN SSSR, Engineering Cybernetics, 2, 221-224, 1982 - in Russian.
- Chichinadze V.K., The ψ-transform for Solving Linear and Non-Linear Programming Problems, Automatica, 5, 347-355, 1969.
- Dolgui A. and Ofitserov D., A Stochastic Method for Discrete and Continuous Optimization in Manufacturing Systems, Journal of Intelligent Manufacturing, 8 (5), 405-413, 1997.
- Dolgui A., and Sysoev V., Une heuristique d'optimisation globale basée sur la ψ- transformation, RAIRO Operations Research, 37, 119-141, 2003.
- Boender C.G.E., Rinnooy Kan A.H.G., Timmer G.T. and Stougie L., A Stochastic Method for Global Optimization, Mathematical Programming, 22, 125-140, 1982.
- Artamonov I.M., An Algorithm for the Resolution of the Johnson-Bellman Problem, Research in Mathematics, Kichinev, 68, 3-10, 1982 - in Russian.
- Gilmore P.C. and Gomory R.E., Sequencing a one State-Variable Machine: A Solvable Case of the Travelling Salesman Problem, Operations Research, 12, 655-659, 1964.
- Levner E.B., Optimal Planning for Many Machines, Automation and Remote Control, Moskow, 12, 94-100, 1973 - in Russian.
- Papadimitriou C.H. and Kanellakis P.C., Flow-Shop Scheduling with Limited Temporary Storage, Journal of the Association for Computing Machinery, 27, 533-549, 1980.
Typ dokumentu
Bibliografia
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