Abstract
The Group Shop Scheduling Problem (GSP) is a generalization of the classical Job Shop and Open Shop Scheduling Problems. In the GSP there are m machines and n jobs. Each job consists of a set of operations, which must be processed on specified machines without preemption. The operations of each job are partitioned into groups on which a total precedence order is given. The problem is to order the operations on the machines and on the groups such that the maximal completion time (makespan) of all operations is minimized. The main goal of this paper is to provide a fair comparison of five metaheuristic approaches (i.e., Ant Colony Optimization, Evolutionary Algorithm, Iterated Local Search, Simulated Annealing, and Tabu Search) to tackle the GSP. We guarantee a fair comparison by a common definition of neighborhood in the search space, by using the same data structure, programming language and compiler, and by running the algorithms on the same hardware.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. H. L. Aarts and J. K. Lenstra, editors. Local Search in Combinatorial Optimization. John Wiley & Sons, Chichester, 1997.
J. Błażewicz, W. Domschke, and E. Pesch. The job shop scheduling problem: Conventional and new solution techniques. European Journal of Operational Research, 93:1–33, 1996.
C. Blum. ACO applied to Group Shop Scheduling: A case study on Intensification and Diversification. In Proceedings of the 3rd International Workshop on Ant Algorithms (ANTS 2002) (to appear), 2002. Also available as technical report TR/IRIDIA/2002-08, IRIDIA, Université Libre de Bruxelles.
C. Blum, A. Roli, and M. Dorigo. HC-ACO: The hyper-cube framework for Ant Colony Optimization. In Proceedings of the 4th Meta-heuristics International Conference (MIC 2001), volume 2, pages 399–403, 2001.
C. Blum and M. Sampels. Ant colony optimization for FOP shop scheduling: A case study on different pheromone representations. In Proceedings of the 2002 Congress on Evolutionary Computation (CEC 2002), volume 2, pages 1558–1563, 2002.
P. Brucker, B. Jurisch, and B. Sievers. A branch and bound algorithm for the job-shop scheduling problem. Discrete Applied Mathematics, 49:107–127, 1994.
J. Carlier and E. Pinson. An algorithm for solving the job-shop problem. Management Science, pages 164–176, 1989.
M. Dorigo and G. Di Caro. The Ant Colony Optimization meta-heuristic. In D. Corne, M. Dorigo, and F. Glover, editors, New Ideas in Optimization. McGraw-Hill, 1999.
H. Fisher and G. L. Thompson. Probabilistic learning combinations of local jobshop scheduling rules. In J. F. Muth and G. L. Thompson, editors, Industrial Scheduling. Prentice-Hall, Englewood Cliffs, NJ, 1963.
F. Glover and M. Laguna. Tabu Search. Kluwer Academic Publishers, Boston et al., 1998.
T. Gonzalez and S. Sahni. Open shop scheduling to minimize finish time. Journal of the ACM, 23(4):665–679, Oct. 1976.
J. K. Lenstra, A. H. G. Rinnooy Kan, and P. Brucker. Complexity of machine scheduling problems. Annals of Discrete Mathematics, 1:343–362, 1977.
E. Nowicki and C. Smutnicki. A fast taboo search algorithm for the job shop problem. Management Science, 42(6):797–813, June 1996.
M. Sampels, C. Blum, M. Mastrolilli, and O. Rossi-Doria. Metaheuristics for Group Shop scheduling. Technical Report TR/IRIDIA/2002-07, IRIDIA, Université Libre de Bruxelles, 2002.
T. Stützle. Local Search Algorithms for Combinatorial Problems-Analysis, Improvements, and New Applications. PhD thesis, TU Darmstadt, Germany, 1998.
E. Taillard. Benchmarks for basic scheduling problems. European Journal of Operational Research, 64:278–285, 1993.
S. P. Wright. Adjusted p-values and simultaneous inference. Biometrics, 48:1005–1013, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sampels, M., Blum, C., Mastrolilli, M., Rossi-Doria, O. (2002). Metaheuristics for Group Shop Scheduling. In: Guervós, J.J.M., Adamidis, P., Beyer, HG., Schwefel, HP., Fernández-Villacañas, JL. (eds) Parallel Problem Solving from Nature — PPSN VII. PPSN 2002. Lecture Notes in Computer Science, vol 2439. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45712-7_61
Download citation
DOI: https://doi.org/10.1007/3-540-45712-7_61
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44139-7
Online ISBN: 978-3-540-45712-1
eBook Packages: Springer Book Archive