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Lot streaming with variable sublots: an integer programming formulation

Author

Listed:
  • D Biskup

    (Bielefeld University)

  • M Feldmann

    (Bielefeld University)

Abstract

This paper deals with the question of how to split a given lot into sublots so as to allow their overlapping production in a flow shop environment. The size of each sublot may vary over the stages. We consider an arbitrary number of stages and assume sublot availability, that is, only completed sublots are allowed to be transferred to the next stage. A mixed integer programming formulation is presented, which enables us to find optimal solutions for medium sized instances. The model is extended further to deal with different settings and objectives. Computational results confirm that the exploitation of variable sublots is advantageous and may lead to a significant increase in productivity.

Suggested Citation

  • D Biskup & M Feldmann, 2006. "Lot streaming with variable sublots: an integer programming formulation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(3), pages 296-303, March.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:3:d:10.1057_palgrave.jors.2602016
    DOI: 10.1057/palgrave.jors.2602016
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    1. Bogaschewsky, Ronald W. & Buscher, Udo D. & Lindner, Gerd, 2001. "Optimizing multi-stage production with constant lot size and varying number of unequal sized batches," Omega, Elsevier, vol. 29(2), pages 183-191, April.
    2. C. A. Glass & C. N. Potts, 1998. "Structural Properties of Lot Streaming in a Flow Shop," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 624-639, August.
    3. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    4. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(5), pages 777-788, October.
    5. Goyal, S. K. & Szendrovits, A. Z., 1986. "A constant lot size model with equal and unequal sized batch shipments between production stages," Engineering Costs and Production Economics, Elsevier, vol. 10(3), pages 203-210, March.
    6. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    7. Ramasesh, Ranga V. & Fu, Haizhen & Fong, Duncan K. H. & Hayya, Jack C., 2000. "Lot streaming in multistage production systems," International Journal of Production Economics, Elsevier, vol. 66(3), pages 199-211, July.
    8. Stéphane Dauzère-Pérès & Jean-Bernard Lasserre, 1997. "Lot Streaming in Job-Shop Scheduling," Operations Research, INFORMS, vol. 45(4), pages 584-595, August.
    9. Kalir, Adar A. & Sarin, Subhash C., 2001. "A near-optimal heuristic for the sequencing problem in multiple-batch flow-shops with small equal sublots," Omega, Elsevier, vol. 29(6), pages 577-584, December.
    10. Andrew Z. Szendrovits, 1975. "Manufacturing Cycle Time Determination for a Multi-Stage Economic Production Quantity Model," Management Science, INFORMS, vol. 22(3), pages 298-308, November.
    11. Cheng, T. C. E. & Sin, C. C. S., 1990. "A state-of-the-art review of parallel-machine scheduling research," European Journal of Operational Research, Elsevier, vol. 47(3), pages 271-292, August.
    12. Vickson, R. G., 1995. "Optimal lot streaming for multiple products in a two-machine flow shop," European Journal of Operational Research, Elsevier, vol. 85(3), pages 556-575, September.
    13. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
    14. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(4), pages 629-637, August.
    15. Drezner, Z. & Szendrovits, A. Z. & Wesolowsky, G. O., 1984. "Multi-stage production with variable lot sizes and transportation of partial lots," European Journal of Operational Research, Elsevier, vol. 17(2), pages 227-237, August.
    16. Stanley Reiter, 1965. "A System for Managing Job-Shop Production," The Journal of Business, University of Chicago Press, vol. 39, pages 371-371.
    17. Enns, S. T., 2002. "MRP performance effects due to forecast bias and demand uncertainty," European Journal of Operational Research, Elsevier, vol. 138(1), pages 87-102, April.
    18. Dan Trietsch & Kenneth R. Baker, 1993. "Basic Techniques for Lot Streaming," Operations Research, INFORMS, vol. 41(6), pages 1065-1076, December.
    19. Chen, Jiang & Steiner, George, 1997. "Lot streaming with detached setups in three-machine flow shops," European Journal of Operational Research, Elsevier, vol. 96(3), pages 591-611, February.
    20. Sen, Alper & Topaloglu, Engin & Benli, Omer S., 1998. "Optimal streaming of a single job in a two-stage flow shop," European Journal of Operational Research, Elsevier, vol. 110(1), pages 42-62, October.
    21. Baker, KR & Jia, D, 1993. "A comparative study of lot streaming procedures," Omega, Elsevier, vol. 21(5), pages 561-566, September.
    22. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    23. Chung-Yee Lee & Lei Lei & Michael Pinedo, 1997. "Current trends in deterministic scheduling," Annals of Operations Research, Springer, vol. 70(0), pages 1-41, April.
    24. Glass, C. A. & Gupta, J. N. D. & Potts, C. N., 1994. "Lot streaming in three-stage production processes," European Journal of Operational Research, Elsevier, vol. 75(2), pages 378-394, June.
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    Cited by:

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