IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v40y1993i7p925-931.html
   My bibliography  Save this article

An improved algorithm for the dynamic lot‐sizing problem with learning effect in setups

Author

Listed:
  • Kavindra Malik
  • Yufei Wang

Abstract

The dynamic lot‐sizing problem with learning in setups is a variation of the Wagner‐Whitin lot‐sizing problem where the setup costs are a concave, nondecreasing function of the cumulative number of setups. This problem has been a subject of some recent research. We extend the previously studied model to include nonstationary production costs and present an O(T2) algorithm to solve this problem. The worst‐case complexity of our algorithm improves the worst‐case behavior of the algorithms presently known in the literature. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • Kavindra Malik & Yufei Wang, 1993. "An improved algorithm for the dynamic lot‐sizing problem with learning effect in setups," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(7), pages 925-931, December.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:7:p:925-931
    DOI: 10.1002/1520-6750(199312)40:73.0.CO;2-C
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199312)40:73.0.CO;2-C
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199312)40:73.0.CO;2-C?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Chand, Suresh, 1989. "Lot sizes and setup frequency with learning in setups and process quality," European Journal of Operational Research, Elsevier, vol. 42(2), pages 190-202, September.
    2. Kirk R. Karwan & Joseph B. Mazzola & Richard C. Morey, 1988. "Production lot sizing under setup and worker learning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 159-175, April.
    3. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    4. Suresh Chand & Suresh P. Sethi, 1990. "A Dynamic Lot Sizing Model with Learning in Setups," Operations Research, INFORMS, vol. 38(4), pages 644-655, August.
    5. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    2. Hark‐Chin Hwang & Wilco van den Heuvel, 2012. "Improved algorithms for a lot‐sizing problem with inventory bounds and backlogging," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 244-253, April.
    3. Karla E. Bourland & Candace Arai Yano, 1996. "Lot sizing when yields increase during the production run," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1035-1047, December.
    4. Martel, Alain & Gascon, Andre, 1998. "Dynamic lot-sizing with price changes and price-dependent holding costs," European Journal of Operational Research, Elsevier, vol. 111(1), pages 114-128, November.
    5. Piñeyro, Pedro & Viera, Omar, 2010. "The economic lot-sizing problem with remanufacturing and one-way substitution," International Journal of Production Economics, Elsevier, vol. 124(2), pages 482-488, April.
    6. Awi Federgruen & Michal Tzur, 1993. "The dynamic lot‐sizing model with backlogging: A simple o(n log n) algorithm and minimal forecast horizon procedure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 459-478, June.
    7. Jaber, Mohamad Y. & Bonney, Maurice, 1999. "The economic manufacture/order quantity (EMQ/EOQ) and the learning curve: Past, present, and future," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 93-102, March.
    8. Hark-Chin Hwang & Hyun-Soo Ahn & Philip Kaminsky, 2013. "Basis Paths and a Polynomial Algorithm for the Multistage Production-Capacitated Lot-Sizing Problem," Operations Research, INFORMS, vol. 61(2), pages 469-482, April.
    9. Jaber, Mohamad Y. & Bonney, Maurice, 2003. "Lot sizing with learning and forgetting in set-ups and in product quality," International Journal of Production Economics, Elsevier, vol. 83(1), pages 95-111, January.
    10. Hwang, Hark-Chin & Kang, Jangha, 2020. "The two-level lot-sizing problem with outbound shipment," Omega, Elsevier, vol. 90(C).
    11. H. Edwin Romeijn & Dolores Romero Morales & Wilco Van den Heuvel, 2014. "Computational complexity of finding Pareto efficient outcomes for biobjective lot‐sizing models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(5), pages 386-402, August.
    12. Gutiérrez, J. & Sedeí±o-Noda, A. & Colebrook, M. & Sicilia, J., 2008. "An efficient approach for solving the lot-sizing problem with time-varying storage capacities," European Journal of Operational Research, Elsevier, vol. 189(3), pages 682-693, September.
    13. Mazzola, Joseph B. & Neebe, Alan W. & Rump, Christopher M., 1998. "Multiproduct production planning in the presence of work-force learning," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 336-356, April.
    14. Li, Georgi & Rajagopalan, S., 1998. "A learning curve model with knowledge depreciation," European Journal of Operational Research, Elsevier, vol. 105(1), pages 143-154, February.
    15. Hoesel, C. P. M. Van & Wagelmans, A. P. M., 2000. "Parametric analysis of setup cost in the economic lot-sizing model without speculative motives," International Journal of Production Economics, Elsevier, vol. 66(1), pages 13-22, June.
    16. Hwang, Hark-Chin & Jaruphongsa, Wikrom, 2008. "Dynamic lot-sizing model for major and minor demands," European Journal of Operational Research, Elsevier, vol. 184(2), pages 711-724, January.
    17. Hwang, H.C., 2009. "Economic Lot-Sizing Problem with Bounded Inventory and Lost-Sales," Econometric Institute Research Papers EI 2009-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    18. Guan, Yongpei & Liu, Tieming, 2010. "Stochastic lot-sizing problem with inventory-bounds and constant order-capacities," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1398-1409, December.
    19. Minjiao Zhang & Simge Küçükyavuz & Hande Yaman, 2012. "A Polyhedral Study of Multiechelon Lot Sizing with Intermediate Demands," Operations Research, INFORMS, vol. 60(4), pages 918-935, August.
    20. Eksioglu, Sandra Duni, 2009. "A primal-dual algorithm for the economic lot-sizing problem with multi-mode replenishment," European Journal of Operational Research, Elsevier, vol. 197(1), pages 93-101, August.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:40:y:1993:i:7:p:925-931. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.