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A Dynamic Programming Approach to a Lot Size Scheduling Problem

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  • Earl E. Bomberger

    (The Budd Company, Philadelphia)

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    Abstract

    The problem considered is that of scheduling the production of several different items over the same facility on a repetitive basis. The facility is such that only one item can be produced at a time; there is a setup cost and a setup time associated with producing each item; the demand rate for each item is known and constant over an infinite planning horizon, and all demand must be met. A dynamic programming solution is developed. This solution is applied to a sample problem, and the results are compared with pertinent bounds.

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    File URL: http://dx.doi.org/10.1287/mnsc.12.11.778
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 12 (1966)
    Issue (Month): 11 (July)
    Pages: 778-784

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    Handle: RePEc:inm:ormnsc:v:12:y:1966:i:11:p:778-784

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    Cited by:
    1. Fransoo, Jan C. & Sridharan, V. & Bertrand, J.Will M., 1995. "A hierarchical approach for capacity coordination in multiple products single-machine production systems with stationary stochastic demands," European Journal of Operational Research, Elsevier, vol. 86(1), pages 57-72, October.
    2. Teunter, Ruud & Tang, Ou & Kaparis, Konstantinos, 2009. "Heuristics for the economic lot scheduling problem with returns," International Journal of Production Economics, Elsevier, vol. 118(1), pages 323-330, March.
    3. Khouja, Moutaz & Michalewicz, Zgibniew & Wilmot, Michael, 1998. "The use of genetic algorithms to solve the economic lot size scheduling problem," European Journal of Operational Research, Elsevier, vol. 110(3), pages 509-524, November.
    4. Khoury, B. N. & Abboud, N. E. & Tannous, M. M., 2001. "The common cycle approach to the ELSP problem with insufficient capacity," International Journal of Production Economics, Elsevier, vol. 73(2), pages 189-199, September.
    5. Taleizadeh, Ata Allah & Cárdenas-Barrón, Leopoldo Eduardo & Mohammadi, Babak, 2014. "A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process," International Journal of Production Economics, Elsevier, vol. 150(C), pages 9-27.
    6. Chang, Ping-Teng & Yao, Ming-Jong & Huang, Shih-Fen & Chen, Chia-Tsung, 2006. "A genetic algorithm for solving a fuzzy economic lot-size scheduling problem," International Journal of Production Economics, Elsevier, vol. 102(2), pages 265-288, August.
    7. Leven, Erik & Segerstedt, Anders, 2007. "A scheduling policy for adjusting economic lot quantities to a feasible solution," European Journal of Operational Research, Elsevier, vol. 179(2), pages 414-423, June.
    8. Grznar, J. & Riggle, C., 1997. "An optimal algorithm for the basic period approach to the economic lot scheduling problem," Omega, Elsevier, vol. 25(3), pages 355-364, June.
    9. Banerjee, Avijit, 2009. "Simultaneous determination of multiproduct batch and full truckload shipment schedules," International Journal of Production Economics, Elsevier, vol. 118(1), pages 111-117, March.
    10. Wagner, Bret J. & Davis, Darwin J., 2002. "A search heuristic for the sequence-dependent economic lot scheduling problem," European Journal of Operational Research, Elsevier, vol. 141(1), pages 133-146, August.
    11. Vidal-Carreras, Pilar I. & Garcia-Sabater, Jose P. & Coronado-Hernandez, Jairo R., 2012. "Economic lot scheduling with deliberated and controlled coproduction," European Journal of Operational Research, Elsevier, vol. 219(2), pages 396-404.
    12. Brander, Par & Forsberg, Rolf, 2006. "Determination of safety stocks for cyclic schedules with stochastic demands," International Journal of Production Economics, Elsevier, vol. 104(2), pages 271-295, December.
    13. Khouja, Moutaz, 1997. "The scheduling of economic lot sizes on volume flexible production systems," International Journal of Production Economics, Elsevier, vol. 48(1), pages 73-86, January.
    14. Wagner, Michael & Smits, Sanne R., 2004. "A local search algorithm for the optimization of the stochastic economic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 90(3), pages 391-402, August.
    15. Banerjee, Avijit & Pyreddy, Vijay R. & Kim, Seung Lae, 1996. "Investment policy for multiple product setup reduction under budgetary and capacity constraints," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 321-327, August.

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