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A Computational Approach to the Economic Lot Scheduling Problem

Author

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  • Jack Rogers

    (Assistant Professor of Business Administration, University of California, at Berkeley)

Abstract

In practice, the economic lot quantity problem and the scheduling problem often are treated separately in production planning. However, when a number of items must be supplied continuously and the same means of production must be employed for several of the items non-concurrently, the "economic lot scheduling problem" may have to be dealt with. Addressing itself to a reduced version of this problem, the article outlines a computational approach to finding a feasible and minimum cost (set-up plus storage) production schedule for a group of items which must be available continuously though produced consecutively in a single production center.

Suggested Citation

  • Jack Rogers, 1958. "A Computational Approach to the Economic Lot Scheduling Problem," Management Science, INFORMS, vol. 4(3), pages 264-291, April.
    • Handle: RePEc:inm:ormnsc:v:4:y:1958:i:3:p:264-291
    DOI: 10.1287/mnsc.4.3.264
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    Cited by:

    1. Shoshana Anily, 2018. "Full characterization of the nonnegative core of some cooperative games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(4), pages 303-316, June.
    2. Mohammadi, Maryam & Musa, Siti Nurmaya & Bahreininejad, Ardeshir, 2015. "Optimization of economic lot scheduling problem with backordering and shelf-life considerations using calibrated metaheuristic algorithms," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 404-422.
    3. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    4. Wichmann, Matthias Gerhard & Johannes, Christoph & Spengler, Thomas Stefan, 2019. "Energy-oriented Lot-Sizing and Scheduling considering energy storages," International Journal of Production Economics, Elsevier, vol. 216(C), pages 204-214.
    5. Goncalves, JoseF. & Leachman, Robert C., 1998. "A hybrid heuristic and linear programming approach to multi-product machine scheduling," European Journal of Operational Research, Elsevier, vol. 110(3), pages 548-563, November.
    6. Coelho, Leandro C. & Laporte, Gilbert, 2014. "Improved solutions for inventory-routing problems through valid inequalities and input ordering," International Journal of Production Economics, Elsevier, vol. 155(C), pages 391-397.
    7. Salvietti, Luciano & Smith, Neale R., 2008. "A profit-maximizing economic lot scheduling problem with price optimization," European Journal of Operational Research, Elsevier, vol. 184(3), pages 900-914, February.
    8. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    9. Rossi, Tommaso & Pozzi, Rossella & Testa, Mariapaola, 2017. "EOQ-based inventory management in single-machine multi-item systems," Omega, Elsevier, vol. 71(C), pages 106-113.
    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. Tang, Loon Ching & Lee, Loo Hay, 2005. "A simple recovery strategy for economic lot scheduling problem: A two-product case," International Journal of Production Economics, Elsevier, vol. 98(1), pages 97-107, October.
    12. Fabrizio Marinelli & Maria Nenni & Antonio Sforza, 2007. "Capacitated lot sizing and scheduling with parallel machines and shared buffers: A case study in a packaging company," Annals of Operations Research, Springer, vol. 150(1), pages 177-192, March.
    13. Garn, Wolfgang & Aitken, James, 2015. "Agile factorial production for a single manufacturing line with multiple products," European Journal of Operational Research, Elsevier, vol. 245(3), pages 754-766.
    14. Beck, Fabian G. & Biel, Konstantin & Glock, Christoph H., 2019. "Integration of energy aspects into the economic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 209(C), pages 399-410.
    15. S. Ganesan & R. Uthayakumar, 2023. "An EPQ model for a single-machine multiproduct imperfect production system using a hybrid logarithmic barrier method," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1121-1152, September.
    16. Daniel Adelman & Christiane Barz, 2014. "A Unifying Approximate Dynamic Programming Model for the Economic Lot Scheduling Problem," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 374-402, May.
    17. 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.
    18. Pasandideh, Seyed Hamid Reza & Niaki, Seyed Taghi Akhavan & Nobil, Amir Hossein & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "A multiproduct single machine economic production quantity model for an imperfect production system under warehouse construction cost," International Journal of Production Economics, Elsevier, vol. 169(C), pages 203-214.
    19. 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.
    20. Matthias Gerhard Wichmann & Christoph Johannes & Thomas Stefan Spengler, 2019. "An extension of the general lot-sizing and scheduling problem (GLSP) with time-dependent energy prices," Journal of Business Economics, Springer, vol. 89(5), pages 481-514, July.
    21. 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.
    22. Holmbom, Martin & Segerstedt, Anders, 2014. "Economic Order Quantities in production: From Harris to Economic Lot Scheduling Problems," International Journal of Production Economics, Elsevier, vol. 155(C), pages 82-90.
    23. 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.
    24. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.

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