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A Hybrid Bin-Packing Heuristic to Multiprocessor Scheduling

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Experimental and Efficient Algorithms (WEA 2004)

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Abstract

The multiprocessor scheduling problem consists in scheduling a set of tasks with known processing times into a set of identical processors so as to minimize their makespan, i.e., the maximum processing time over all processors. We propose a new heuristic for solving the multiprocessor scheduling problem, based on a hybrid heuristic to the bin packing problem. Computational results illustrating the effectiveness of this approach are reported and compared with those obtained by other heuristics.

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References

  1. Alvim, A.C.F., Ribeiro, C.C., Glover, F., Aloise, D.J.: A hybrid improvement heuristic for the one-dimensional bin packing problem. Journal of Heuristics (2004) (to appear)

    Google Scholar 

  2. Alvim, A.C.F.: Uma heurística híbrida de melhoria para o problema de bin packing e sua aplicação ao problema de escalonamento de tarefas, Doctorate thesis, Catholic University of Rio de Janeiro, Department of Computer Science, Rio de Janeiro (2003)

    Google Scholar 

  3. Błażewicz, J.: Selected topics in scheduling theory. In: Laporte, G., Martello, S., Minoux, M., Ribeiro, C.C. (eds.) Surveys in Combinatorial Optimization, pp. 1–60. North-Holland, Amsterdam (1987)

    Google Scholar 

  4. Bruno, J.L., Coffman Jr., E.G., Sethi, R.: Scheduling independent tasks to reduce mean finishing time. Communications of the ACM 17, 382–387 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  5. Cheng, T., Sin, C.: A state-of-the-art review of parallel-machine scheduling research. European Journal of Operational Research 47, 271–292 (1990)

    Article  MATH  Google Scholar 

  6. Coffman Jr., E.G., Garey, M.R., Johnson, D.S.: An application of bin-packing to multiprocessor scheduling. SIAM Journal on Computing 7, 1–17 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  7. Dell’Amico, M., Martello, S.: Optimal scheduling of tasks on identical parallel processors. ORSA Journal on Computing 7, 191–200 (1995)

    MATH  Google Scholar 

  8. Fatemi-Ghomi, S.M., Jolai-Ghazvini, F.: A pairwise interchange algorithm for parallel machine scheduling. Production Planning and Control 9, 685–689 (1998)

    Article  Google Scholar 

  9. Finn, G., Horowitz, E.: A linear time approximation algorithm for multiprocessor scheduling. BIT 19, 312–320 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  10. França, P.M., Gendreau, M., Laporte, G., Müller, F.M.: A composite heuristic for the identical parallel machine scheduling problem with minimum makespan objective. Computers Ops. Research 21, 205–210 (1994)

    Article  MATH  Google Scholar 

  11. Frangioni, A., Scutellà, M.G., Necciari, E.: Multi-exchange algorithms for the minimum makespan machine scheduling problem, Report TR-99-22, Dipartimento di Informatica, Università di Pisa, Pisa (1999)

    Google Scholar 

  12. Frangioni, A., Necciari, E., Scutellà, M.G.: A multi-exchange neighborhood for minimum makespan machine scheduling problems. Journal of Combinatorial Optimization (to appear)

    Google Scholar 

  13. Friesen, D.K.: Tighter bounds for the MULTIFIT processor scheduling algorithm. SIAM Journal on Computing 13, 170–181 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  14. Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman, New York (1979)

    MATH  Google Scholar 

  15. Graham, R.L.: Bounds on multiprocessing timing anomalies. SIAM Journal of Applied Mathematics 17, 416–429 (1969)

    Article  MATH  Google Scholar 

  16. Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimization and approximation in deterministic sequencing and scheduling: A survey. Annals of Discrete Mathematics 5, 287–326 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  17. Hochbaum, D.S., Shmoys, D.B.: Using dual approximation algorithms for scheduling problems: Theoretical and practical results. Journal of the ACM 34, 144–162 (1987)

    Article  MathSciNet  Google Scholar 

  18. Hübscher, R., Glover, F.: Applying tabu search with influential diversification to multiprocessor scheduling. Computers and Operations Research 21, 877–884 (1994)

    Article  MATH  Google Scholar 

  19. Johnson, D.S., Demers, A., Ullman, J.D., Garey, M.R., Graham, R.L.: Worst case performance bounds for simple one-dimensional packing algorithms. SIAM Journal on Computing 3, 299–325 (1974)

    Article  MathSciNet  Google Scholar 

  20. Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., Shmoys, D.B.: Sequencing and scheduling: Algorithms and complexity. In: Graves, S.C., Zipkin, P.H., Rinnooy Kan, A.H.G. (eds.) Logistics of Production and Inventory: Handbooks in Operations Research and Management Science, pp. 445–522. North-Holland, Amsterdam (1993)

    Chapter  Google Scholar 

  21. Martello, S., Toth, P.: Knapsack Problems: Algorithms and Computer Implementations. Wiley, Chichester (1990)

    MATH  Google Scholar 

  22. McNaughton: Scheduling with deadlines and loss functions. Management Science 6, 1–12 (1959)

    Article  MATH  MathSciNet  Google Scholar 

  23. Necciari, E.: Istances of machine scheduling problems, Online document available at http://www.di.unipi.it/di/groups/optimize/Data/MS.html (last visited on November 21, 2001)

  24. Scholl, A., Voss, S.: Simple assembly line balancing - Heuristic approaches. Journal of Heuristics 2, 217–244 (1996)

    Article  Google Scholar 

  25. Yue, M.: On the exact upper bound for the MULTIFIT processor scheduling algorithm. Annals of Operations Research 24, 233–259 (1990)

    Article  MATH  MathSciNet  Google Scholar 

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Alvim, A.C.F., Ribeiro, C.C. (2004). A Hybrid Bin-Packing Heuristic to Multiprocessor Scheduling. In: Ribeiro, C.C., Martins, S.L. (eds) Experimental and Efficient Algorithms. WEA 2004. Lecture Notes in Computer Science, vol 3059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24838-5_1

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  • DOI: https://doi.org/10.1007/978-3-540-24838-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22067-1

  • Online ISBN: 978-3-540-24838-5

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