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Job Shop Scheduling with Buffer Constraints and Jobs Consuming Variable Buffer Space

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Book cover Advanced Manufacturing and Sustainable Logistics (IHNS 2010)

Part of the book series: Lecture Notes in Business Information Processing ((LNBIP,volume 46))

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Abstract

Job shop scheduling is among the most well studied problems in production planning. Yet, there is still a lack of comprehensive treatment of intermediate buffers. This paper deals with limited intermediate buffers with the important extension that not all jobs need to be handled in the same way regarding buffer space consumption. A heuristic to find feasible solutions is described and computational results are presented. While a reference procedure from literature devoted to case of unit buffer space consumption does not guarantee feasibility in all cases, the approach developed in this paper does. Moreover, it allows for variable space consumption, a feature which is new to literature paying better attention to more practical requirements than other models.

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References

  1. Muth, J.F., Thompson, G.L.: Industrial Scheduling. Prentice Hall, Englewood Cliffs (1963)

    Google Scholar 

  2. Carlier, J., Pinson, E.: An algorithm for solving the job-shop problem. Management Science 35, 164–176 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  3. Pinson, E.: The job shop scheduling problem: A concise survey and some recent developments. In: Chretienne, P., Coffman, E.G., Lenstra, J.K., Liu, Z. (eds.) Scheduling Theory and Its Applications, pp. 277–294. Wiley, New York (1997)

    Google Scholar 

  4. Blazewicz, J., Domschke, W., Pesch, E.: The job shop scheduling problem: conventional and new solution techniques. European Journal of Operational Research 93, 1–33 (1996)

    Article  MATH  Google Scholar 

  5. Jain, A.S., Meeran, S.: Deterministic job-shop scheduling: past, present and future. European Journal of Operational Research 113, 390–434 (1999)

    Article  MATH  Google Scholar 

  6. Brinkkötter, W., Brucker, P.: Solving open benchmark instances for the job shop problem by parallel head-tail adjustments. Journal of Scheduling 4, 53–64 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  7. Nowicki, E., Smutnicki, C.: An advanced tabu search algorithm for the job-shop problem. Journal of Scheduling 8, 145–159 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  8. Adams, J., Balas, E., Zawack, D.: The shifting bottleneck procedure for job shop scheduling. Management Science 34, 391–401 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  9. Applegate, D., Cook, W.: A computational study of the job shop scheduling problem. ORSA Journal on Computing 3, 149–156 (1991)

    MATH  Google Scholar 

  10. Leisten, R.: Flowshop sequencing problems with limited buffer storage. International Journal of Production Research 28, 2085–2100 (1990)

    Article  MATH  Google Scholar 

  11. Witt, A., Voß, S.: Simple heuristics for scheduling with limited intermediate storage. Computers & Operations Research 34, 2293–2309 (2007)

    Article  MATH  Google Scholar 

  12. Mascis, A., Pacciarelli, D.: Job-shop scheduling with blocking and no-wait constraints. European Journal of Operational Research 143, 498–517 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  13. Brucker, P., Heitmann, S., Hurink, J., Nieberg, T.: Job-shop scheduling with limited capacity buffers. OR Spectrum 25, 151–176 (2006)

    Article  MathSciNet  Google Scholar 

  14. Heitmann, S.: Job-shop scheduling with limited buffer capacities. VDM Dr. Müller, Saarbrücken (2007)

    Google Scholar 

  15. Fahmy, S.A., ElMekkawy, T.Y., Balakrishnan, S.: Deadlock-free scheduling of flexible job shops with limited capacity buffers. European Journal of Industrial Engineering 2, 231–252 (2008)

    Article  Google Scholar 

  16. Lawley, M., Reveliotis, S., Ferreira, P.: Structural control of flexible manufacturing systems and the neighborhood policy: Parts 1 & 2. IIE Transactions 29, 877–899 (1997)

    Google Scholar 

  17. Habermann, A.: Prevention of system deadlocks. Communications of the ACM 12, 373–377 (1969)

    Article  Google Scholar 

  18. Lawley, M., Mittenthal, J.: Order release and deadlock avoidance interactions in counter-flow system optimization. International Journal of Production Research 37, 3043–3062 (1999)

    Article  MATH  Google Scholar 

  19. Aytug, H., Barua, A., Lawley, M., Uzsoy, R.: Observations on the interactions among deadlock avoidance policies and dispatching rules in automated manufacturing systems. International Journal of Production Research 41, 81–95 (2003)

    Article  Google Scholar 

  20. Xing, K., Hu, B., Chen, H.: Deadlock avoidance policy for Petri net modeling of flexible manufacturing systems with shared resources. IEEE Transactions on Automatic Control 41, 289–295 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  21. Zandong, H., Lee, G.: Application of Petri nets for deadlock analysis and avoidance in flexible manufacturing systems. International Journal of Advanced Manufacturing Technology 25, 735–742 (2005)

    Article  Google Scholar 

  22. Kim, Y.W., Suzuki, T., Narikiyo, T.: FMS scheduling based on timed Petri Net model and reactive graph search. Applied Mathematical Modelling 31, 955–970 (2007)

    Article  MATH  Google Scholar 

  23. Hatzack, W., Nebel, B.: The Operational Traffic Control Problem: Computational Complexity and Solutions. In: Cesta, A., Borrajo, D. (eds.) Recent Advances in AI Planning, 6th European Conference on Planning (ECP 2001), pp. 49–60. Springer, Berlin (2001)

    Google Scholar 

  24. Fisher, H., Thompson, G.L.: Probabilistic learning combinations of local job-shop scheduling rules. In: Muth, J.F., Thompson, G.L. (eds.) Industrial Scheduling, pp. 225–251. Prentice Hall, Englewood Cliffs (1963)

    Google Scholar 

  25. Lawrence, S.: Resource constrained project scheduling: an experimental investigation of heuristic scheduling techniques (Supplement). Graduate School of Industrial Administration. Carnegie-Mellon University, Pittsburgh (1984)

    Google Scholar 

  26. Storer, R.H., Wu, S.D., Vaccari, R.: New search spaces for sequencing instances with application to job shop scheduling. Management Science 38, 1495–1509 (1992)

    Article  MATH  Google Scholar 

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Witt, A., Voß, S. (2010). Job Shop Scheduling with Buffer Constraints and Jobs Consuming Variable Buffer Space. In: Dangelmaier, W., Blecken, A., Delius, R., Klöpfer, S. (eds) Advanced Manufacturing and Sustainable Logistics. IHNS 2010. Lecture Notes in Business Information Processing, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12494-5_27

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  • DOI: https://doi.org/10.1007/978-3-642-12494-5_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12461-7

  • Online ISBN: 978-3-642-12494-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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