Abstract
This paper deals with a classic job-shop scheduling problem with the makespan criterion. Some properties of the fast algorithm TSAB of Nowicki and Smutnicki, as well as properties of the solution space, have been discussed and examined. Next, by introducing the original method of diversification, TSAB has been embedded in more advanced algorithmic framework i-TSAB, which has far analogy to path relinking technique. Newly proposed algorithm is faster and has better accuracy than TSAB, runs within time of minutes on a PC and already in preliminary tests provides 23 new upper bounds among 35 unsolved yet common Taillard's benchmarks.
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References
Balas, E. (1969) "Machine Sequencing via Disjunctive Graphs. An Implicit Enumeration Algorithm," Operations Research, 17:941–957.
Balas, E. and A. Vazacopoulos (1998) "Guided Local Search with Shifting Bottleneck for Job-Shop Scheduling". Management Science, 44:262–275.
Balas, E. and A. Vazacopoulos (1994) Guided Local Search with Shifting Bottleneck for Job-Shop Scheduling. Technical Report MSRR-609, GSIA, Cornegie Mellon University, Pittsburg.
Bła \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{z} \)ewicz, J., W. Domschke and E. Pesh (1996) "The Job Shop Scheduling Problem. Conventional and new Solution Techniques," European Journal of Operational Research, 93:1–33.
Boese, K., A. Kahng and S. Muddu (1994) "A new Adaptive Multi-Start Technique for Combinatorial Global Optimizations," Operations Research Letters, 16:101–113.
Brucker, P. (1996) Scheduling Algorithms. Springer-Verlag, Berlin.
Cheng, R., M. Gen and Y. Tsujimura (1996) "A Tutorial Survey of Job-Shop Scheduling Problems using Genetic Algorithms, Part II: hybrid genetic search strategies," Computers & Industrial Engineering, 36:343–364.
DellAmico, M. and M. Trubian (1993) "Applying Tabu Search to the Job-Shop Scheduling Problem," Annals of Operations Research, 4:231–252.
Ten Eikelder, H.M.M., B.J.M. Aarts, M.G.A. Verhoeven and E.H.L. Aarts (1999) Sequential and Parallel Local Search Algorithms for Job-Shop Scheduling. In S. Voß, S. Martello, I.H. Osman, and C. Roucairol, Editors, Meta-Heuristic: Advances and Trends in Local Search Paradigms for Optimization. Kluwer Academic Publishers, Massachusetts, USA.
Glover, F. and M. Laguna (1997) Tabu search. Kluwer Academic Publishers. Massachusetts, USA.
Glover, F. (1989) "Tabu search. Part I," ORSA Journal of Computing, 1:190–206.
Glover, F. (1990) "Tabu search. Part II," ORSA Journal of Computing, 2:4–32.
Grabowski, J., E. Nowicki and C. Smutnicki (1988) Block Algorithm for Scheduling of Operations in Job-Shop System, (in Polish). Przeglad Statystyczny, 35:67–80.
Jain, A.S., B. Rangaswamy and S. Meeran (2000) "New and "stronger" Job-Shop Neighbourhoods: A Focus on the Method of Nowicki and Smutnicki," Journal of Heuristics, 6(4):457–480.
Jain, A.S. and S. Meeran (1999) "Deterministic Job-Shop Scheduling: Past, Present and Future," European Journal of Operational Research, 113:390–434.
Knuth, D.E. (1997) The Art of Computer Programming. Addison Wesley Longman.
Laarhoven, P.V., E. Aarts and J.K. Lenstra (1992) "Job-Shop Scheduling by Simulated Annealing," Operations Research, 40:113–125.
Manly, B.F.J. (1991) Randomization and Monte Carlo Methods in biology. Chapman and Hall, London.
Nowicki, E. and C. Smutnicki (1996) "A Fast Tabu Search Algorithm for the Job-Shop Problem," Management Science, 42(6):797–813.
Nowicki, E. and C. Smutnicki (2001) New Tools to Solve the Job-Shop Problem. Technical Report 51/2001 (extended version in Technical Report 60/2002). Institute of Engineering Cybernetics, Wroclaw University of Technology, Wroclaw, Poland, http://www.zsd.ict.pwr.wroc.pl
OR Library. http://mscmga.ms.ic.ac.uk/info.html.
Pezzella, F. and E. Merelli (2000) "A Tabu Search Method Guided by Shifting Bottleneck for the Job-Shop Scheduling Problem," European Journal of Operational Research, 120:297–310.
Reeves, C. (1998) Landscapes, Operators and Heuristic Search. Technical Report, School of MIS, Coventry University.
Home page of E. Taillard. http://www.eivd.ch/ina/collaborateurs/etd/ default.htm
Taillard, E. (1993) "Benchmarks for Basic Scheduling Problems," European Journal of Operational Research, 64:278–285.
Vaessens, R., E. Aarts and J.K. Lenstra (1996) "Job Shop Scheduling by Local Search," INFORMS Journal of Computing, 8:303–317.
Woodruff, D.L. and E. Zemel (1993) "Hashing Vectors for Tabu Search," Annals of Operations Research, 41:123–137.
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Nowicki, E., Smutnicki, C. (2005). Some New Ideas in TS for Job Shop Scheduling. In: Sharda, R., Voß, S., Rego, C., Alidaee, B. (eds) Metaheuristic Optimization via Memory and Evolution. Operations Research/Computer Science Interfaces Series, vol 30. Springer, Boston, MA. https://doi.org/10.1007/0-387-23667-8_7
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DOI: https://doi.org/10.1007/0-387-23667-8_7
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