IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v252y2016i1p156-169.html
   My bibliography  Save this article

Quasi-fixed cyclic production schemes for multiple products with stochastic demand

Author

Listed:
  • Briskorn, Dirk
  • Zeise, Philipp
  • Packowski, Josef

Abstract

In this paper we present an approach to generate cyclic production schemes for multiple products with stochastic demand to be produced on a single production unit. This scheme specifies a fixed and periodic production sequence, called a cycle, where each product may occur more than once in the sequence. In order to stabilize the cycle length alternative control strategies are introduced. These strategies keep the cycle length close to a target length by means of adding idle time to the cycle, cutting production short or overproduction. On basis of the selected control strategy as well as a base-stock policy target inventory levels are determined for each production run in the cycle. Demand can be backlogged but a certain service level is required. Setup times are sequence-dependent and the storage is capacitated. Employing the developed strategies we investigate the tradeoff between stability of cycle length and total cost induced by the production schedule in a computational study based on both, real world data and random test instances.

Suggested Citation

  • Briskorn, Dirk & Zeise, Philipp & Packowski, Josef, 2016. "Quasi-fixed cyclic production schemes for multiple products with stochastic demand," European Journal of Operational Research, Elsevier, vol. 252(1), pages 156-169.
    • Handle: RePEc:eee:ejores:v:252:y:2016:i:1:p:156-169
    DOI: 10.1016/j.ejor.2016.01.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037722171600045X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2016.01.016?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Vaughan, Timothy S., 2007. "Cyclical schedules vs. dynamic sequencing: Replenishment dynamics and inventory efficiency," International Journal of Production Economics, Elsevier, vol. 107(2), pages 518-527, June.
    2. Gregory Dobson, 1987. "The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes," Operations Research, INFORMS, vol. 35(5), pages 764-771, October.
    3. Paul H. Zipkin, 1991. "Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 39(1), pages 56-63, February.
    4. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    5. Nils Löhndorf & Stefan Minner, 2013. "Simulation optimization for the stochastic economic lot scheduling problem," IISE Transactions, Taylor & Francis Journals, vol. 45(7), pages 796-810.
    6. Robert W. Haessler & Steven L. Hogue, 1976. "Note--A Note on the Single-Machine Multi-Product Lot Scheduling Problem," Management Science, INFORMS, vol. 22(8), pages 909-912, April.
    7. 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.
    8. Guillermo Gallego, 1990. "Scheduling the Production of Several Items with Random Demands in a Single Facility," Management Science, INFORMS, vol. 36(12), pages 1579-1592, December.
    9. 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.
    10. Awi Federgruen & Ziv Katalan, 1998. "Determining Production Schedules Under Base-Stock Policies in Single Facility Multi-Item Production Systems," Operations Research, INFORMS, vol. 46(6), pages 883-898, December.
    11. Rappold, James A. & Yoho, Keenan D., 2014. "Setting safety stocks for stable rotation cycle schedules," International Journal of Production Economics, Elsevier, vol. 156(C), pages 146-158.
    12. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    13. Gelders, Ludo F. & Van Wassenhove, Luk N., 1981. "Production planning: a review," European Journal of Operational Research, Elsevier, vol. 7(2), pages 101-110, June.
    14. HSU, Wen-Lian, 1983. "On the general feasibility test of scheduling lot sizes for several products on one machine," LIDAM Reprints CORE 515, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Awi Federgruen & Ziv Katalan, 1996. "The Stochastic Economic Lot Scheduling Problem: Cyclical Base-Stock Policies with Idle Times," Management Science, INFORMS, vol. 42(6), pages 783-796, June.
    16. 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.
    17. Karla E. Bourland & Candace A. Yano, 1994. "The Strategic Use of Capacity Slack in the Economic Lot Scheduling Problem with Random Demand," Management Science, INFORMS, vol. 40(12), pages 1690-1704, December.
    18. Zied Jemai & M. Zied Babai & Y. Dallery, 2011. "Analysis of order-up-to-level inventory systems with compound Poisson demand," Post-Print hal-01672399, HAL.
    19. C. Loren Doll & D. Clay Whybark, 1973. "An Iterative Procedure for the Single-Machine Multi-Product Lot Scheduling Problem," Management Science, INFORMS, vol. 20(1), pages 50-55, September.
    20. Paul H. Zipkin, 1986. "Models for Design and Control of Stochastic, Multi-Item Batch Production Systems," Operations Research, INFORMS, vol. 34(1), pages 91-104, February.
    21. Babai, M.Z. & Jemai, Z. & Dallery, Y., 2011. "Analysis of order-up-to-level inventory systems with compound Poisson demand," European Journal of Operational Research, Elsevier, vol. 210(3), pages 552-558, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dirk Briskorn & Philipp Zeise, 2019. "A cyclic production scheme for the synchronized and integrated two-level lot-sizing and scheduling problem with no-wait restrictions and stochastic demand," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 895-942, December.

    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. Winands, E.M.M. & Adan, I.J.B.F. & van Houtum, G.J., 2011. "The stochastic economic lot scheduling problem: A survey," European Journal of Operational Research, Elsevier, vol. 210(1), pages 1-9, April.
    2. 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.
    3. 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.
    4. Lopez de Haro, Santiago & Gershwin, Stanley B. & Rosenfield, Donald B., 2009. "Schedule evaluation in unstable manufacturing environments," International Journal of Production Economics, Elsevier, vol. 121(1), pages 183-194, September.
    5. Vaughan, Timothy S., 2007. "Cyclical schedules vs. dynamic sequencing: Replenishment dynamics and inventory efficiency," International Journal of Production Economics, Elsevier, vol. 107(2), pages 518-527, June.
    6. 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.
    7. 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.
    8. Carstensen, Peter, 1997. "Das Economic Lot Scheduling Problem: Überblick und LP-basiertes Verfahren," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 465, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Guillermo Gallego & Robin Roundy, 1992. "The economic lot scheduling problem with finite backorder costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 729-739, August.
    10. Dirk Briskorn & Philipp Zeise, 2019. "A cyclic production scheme for the synchronized and integrated two-level lot-sizing and scheduling problem with no-wait restrictions and stochastic demand," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 895-942, December.
    11. 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.
    12. 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.
    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. Ramesh Bollapragada & Uday Rao, 1999. "Single-Stage Resource Allocation and Economic Lot Scheduling on Multiple, Nonidentical Production Lines," Management Science, INFORMS, vol. 45(6), pages 889-904, June.
    15. 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.
    16. 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.
    17. Jodlbauer, Herbert & Reitner, Sonja, 2012. "Optimizing service-level and relevant cost for a stochastic multi-item cyclic production system," International Journal of Production Economics, Elsevier, vol. 136(2), pages 306-317.
    18. Donald D. Eisenstein, 2005. "Recovering Cyclic Schedules Using Dynamic Produce-Up-To Policies," Operations Research, INFORMS, vol. 53(4), pages 675-688, August.
    19. 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.
    20. 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.

    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:eee:ejores:v:252:y:2016:i:1:p:156-169. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.