Abstract
In the paper, we analyze different solution methods for the two-machine flow shop scheduling problem with a common due date with the weighted late work criterion, i.e. F2|di= d|Yw, which is known to be NP-hard. In computational experiments, we compared the practical efficiency of a dynamic programming approach, an enumerative method and heuristic procedures. Test results showed that each solution method has its advantages and it cannot be rejected from the consideration a priori.
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Blazewicz, J.: Scheduling Preemptible Tasks on Parallel Processors with Information Loss. Recherche Technique et Science Informatiques 3/6, 415–420 (1984)
Blazewicz, J., Finke, G.: Minimizing Mean Weighted Execution Time Loss on Identical and Uniform Processors. Information Processing Letters 24, 259–263 (1987)
Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: Total Late Work Criteria for Shop Scheduling Problems. In: Inderfurth, K., Schwoediauer, G., Domschke, W., Juhnke, F., Kleinschmidt, P., Waescher, G. (eds.) Operations Research Proceedings 1999, pp. 354–359. Springer, Heidelberg (2000)
Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: Open Shop Scheduling Problems with Late Work Criteria. Discrete Applied Mathematics 134, 1–24 (2004)
Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: The Two-Machine Flow-Shop Problem with Weighted Late Work Criterion and Common Due Date. European Journal of Operational Research (2004) (to appear)
Blazewicz, J., Pesch, E., Sterna, M., Werner, F.: Revenue Management in a Job-Shop: a Dynamic Programming Approach. Preprint Nr. 40/03, Otto-von-Guericke-University Magdeburg (2003)
Johnson, S.M.: Optimal Two- and Three-Stage Production Schedules. Naval Research Logistics Quarterly 1, 61–68 (1954)
Kowalski, K.: Scheduling Algorithms for the Shop Scheduling Problems with the Late Work Criteria, Master Thesis, Poznan University of Technology (2003) (in Polish)
Potts, C.N., van Wassenhove, L.N.: Single Machine Scheduling to Minimize Total Late Work. Operations Research 40/3, 586–595 (1991)
Potts, C.N., van Wassenhove, L.N.: Approximation Algorithms for Scheduling a Single Machine to Minimize Total Late Work. Operations Research Letters 11, 261–266 (1991)
Sterna, M.: Problems and Algorithms in Non-Classical Shop Scheduling. Scientific Publishers of the Polish Academy of Sciences, Poznan (2000)
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© 2004 Springer-Verlag Berlin Heidelberg
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Blazewicz, J., Pesch, E., Sterna, M., Werner, F. (2004). Flow Shop Scheduling with Late Work Criterion – Choosing the Best Solution Strategy. In: Manandhar, S., Austin, J., Desai, U., Oyanagi, Y., Talukder, A.K. (eds) Applied Computing. AACC 2004. Lecture Notes in Computer Science, vol 3285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30176-9_9
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DOI: https://doi.org/10.1007/978-3-540-30176-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23659-7
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