IDEAS home Printed from https://ideas.repec.org/a/spr/orspec/v39y2017i1d10.1007_s00291-016-0448-9.html
   My bibliography  Save this article

Dynamic control in multi-item production/inventory systems

Author

Listed:
  • H. G. H. Tiemessen

    (St. Gallen University of Applied Sciences)

  • M. Fleischmann

    (University of Mannheim)

  • G. J. Houtum

    (Eindhoven University of Technology)

Abstract

We consider a production/inventory system consisting of one production line and multiple products. Finished goods are kept in stock to serve stochastic demand. Demand is fulfilled immediately if there is an item of the requested product in stock and otherwise it is backordered and fulfilled later. The production line is modeled as a non-preemptive single server and the objective is to minimize the sum of the average inventory holding costs and backordering costs. We investigate the structure of the optimal production policy, propose a new scheduling policy, and develop a method for calculating base stock levels under an arbitrary but given scheduling policy. The performance of the various production policies is evaluated in extensive numerical experiments.

Suggested Citation

  • H. G. H. Tiemessen & M. Fleischmann & G. J. Houtum, 2017. "Dynamic control in multi-item production/inventory systems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 165-191, January.
  • Handle: RePEc:spr:orspec:v:39:y:2017:i:1:d:10.1007_s00291-016-0448-9
    DOI: 10.1007/s00291-016-0448-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00291-016-0448-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00291-016-0448-9?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. Francis De Vericourt & Fikri Karaesmen & Yves Dallery, 2000. "Dynamic Scheduling in a Make-to-Stock System: A Partial Characterization of Optimal Policies," Operations Research, INFORMS, vol. 48(5), pages 811-819, October.
    2. Natalie M. Steiger & James R. Wilson, 2001. "Convergence Properties of the Batch Means Method for Simulation Output Analysis," INFORMS Journal on Computing, INFORMS, vol. 13(4), pages 277-293, November.
    3. Bezalel Gavish & Stephen C. Graves, 1980. "Technical Note—A One-Product Production/Inventory Problem under Continuous Review Policy," Operations Research, INFORMS, vol. 28(5), pages 1228-1236, October.
    4. Bora Kat & Zeynep Avṣar, 2011. "Using aggregate fill rate for dynamic scheduling of multi-class systems," Annals of Operations Research, Springer, vol. 182(1), pages 87-117, January.
    5. Matthew J. Sobel, 1982. "The Optimality of Full Service Policies," Operations Research, INFORMS, vol. 30(4), pages 636-649, August.
    6. Lawrence M. Wein, 1992. "Dynamic Scheduling of a Multiclass Make-to-Stock Queue," Operations Research, INFORMS, vol. 40(4), pages 724-735, August.
    7. Yu-Sheng Zheng & Paul Zipkin, 1990. "A Queueing Model to Analyze the Value of Centralized Inventory Information," Operations Research, INFORMS, vol. 38(2), pages 296-307, April.
    8. I. J. B. F. Adan & A. Sleptchenko & G. J. Van Houtum, 2009. "Reducing Costs Of Spare Parts Supply Systems Via Static Priorities," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 559-585.
    9. Paul H. Zipkin, 1995. "Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies," Management Science, INFORMS, vol. 41(4), pages 690-703, April.
    10. William Liang & Barış Balcıog̃lu & Robert Svaluto, 2013. "Scheduling policies for a repair shop problem," Annals of Operations Research, Springer, vol. 211(1), pages 273-288, December.
    11. Albert Y. Ha, 1997. "Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System," Operations Research, INFORMS, vol. 45(1), pages 42-53, February.
    12. Agnes Peña Perez & Paul Zipkin, 1997. "Dynamic Scheduling Rules for a Multiproduct Make-to-Stock Queue," Operations Research, INFORMS, vol. 45(6), pages 919-930, December.
    13. Gregory A. DeCroix & Antonio Arreola-Risa, 1998. "Optimal Production and Inventory Policy for Multiple Products Under Resource Constraints," Management Science, INFORMS, vol. 44(7), pages 950-961, July.
    14. Lode Li, 1992. "The Role of Inventory in Delivery-Time Competition," Management Science, INFORMS, vol. 38(2), pages 182-197, February.
    15. Arreola-Risa, Antonio & Giménez-García, Víctor M. & Martínez-Parra, José Luis, 2011. "Optimizing stochastic production-inventory systems: A heuristic based on simulation and regression analysis," European Journal of Operational Research, Elsevier, vol. 213(1), pages 107-118, 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. Ioannis Ch. Paschalidis & Yong Liu, 2003. "Large Deviations-Based Asymptotics for Inventory Control in Supply Chains," Operations Research, INFORMS, vol. 51(3), pages 437-460, June.
    2. Dimitris Bertsimas & Ioannis Ch. Paschalidis, 2001. "Probabilistic Service Level Guarantees in Make-to-Stock Manufacturing Systems," Operations Research, INFORMS, vol. 49(1), pages 119-133, February.
    3. Bora Kat & Zeynep Avṣar, 2011. "Using aggregate fill rate for dynamic scheduling of multi-class systems," Annals of Operations Research, Springer, vol. 182(1), pages 87-117, January.
    4. William Liang & Barış Balcıog̃lu & Robert Svaluto, 2013. "Scheduling policies for a repair shop problem," Annals of Operations Research, Springer, vol. 211(1), pages 273-288, December.
    5. Chen Shaoxiang, 2004. "The Optimality of Hedging Point Policies for Stochastic Two-Product Flexible Manufacturing Systems," Operations Research, INFORMS, vol. 52(2), pages 312-322, April.
    6. Ganesh Janakiraman & Mahesh Nagarajan & Senthil Veeraraghavan, 2018. "Simple Policies for Managing Flexible Capacity," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 333-346, May.
    7. N Sanajian & H Abouee-Mehrizi & B Balcıog̃lu, 2010. "Scheduling policies in the M/G/1 make-to-stock queue," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 115-123, January.
    8. Francis De Vericourt & Fikri Karaesmen & Yves Dallery, 2000. "Dynamic Scheduling in a Make-to-Stock System: A Partial Characterization of Optimal Policies," Operations Research, INFORMS, vol. 48(5), pages 811-819, October.
    9. Saif Benjaafar & Mohsen ElHafsi & Francis de Véricourt, 2004. "Demand Allocation in Multiple-Product, Multiple-Facility, Make-to-Stock Systems," Management Science, INFORMS, vol. 50(10), pages 1431-1448, October.
    10. Fernando Bernstein & Francis de Véricourt, 2008. "Competition for Procurement Contracts with Service Guarantees," Operations Research, INFORMS, vol. 56(3), pages 562-575, June.
    11. José Niño-Mora, 2006. "Restless Bandit Marginal Productivity Indices, Diminishing Returns, and Optimal Control of Make-to-Order/Make-to-Stock M/G/1 Queues," Mathematics of Operations Research, INFORMS, vol. 31(1), pages 50-84, February.
    12. David M. Markowitz & Lawrence M. Wein, 2001. "Heavy Traffic Analysis of Dynamic Cyclic Policies: A Unified Treatment of the Single Machine Scheduling Problem," Operations Research, INFORMS, vol. 49(2), pages 246-270, April.
    13. Arreola-Risa, Antonio & Giménez-García, Víctor M. & Martínez-Parra, José Luis, 2011. "Optimizing stochastic production-inventory systems: A heuristic based on simulation and regression analysis," European Journal of Operational Research, Elsevier, vol. 213(1), pages 107-118, August.
    14. Saif Benjaafar & Yanzhi Li & Dongsheng Xu & Samir Elhedhli, 2008. "Demand Allocation in Systems with Multiple Inventory Locations and Multiple Demand Sources," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 43-60, October.
    15. Hossein Abouee-Mehrizi & Opher Baron & Oded Berman, 2014. "Exact Analysis of Capacitated Two-Echelon Inventory Systems with Priorities," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 561-577, October.
    16. Arts, Joachim, 2017. "A multi-item approach to repairable stocking and expediting in a fluctuating demand environment," European Journal of Operational Research, Elsevier, vol. 256(1), pages 102-115.
    17. Stephanie Carew & Mahesh Nagarajan & Steven Shechter & Jugpal Arneja & Erik Skarsgard, 2021. "Dynamic Capacity Allocation for Elective Surgeries: Reducing Urgency-Weighted Wait Times," Manufacturing & Service Operations Management, INFORMS, vol. 23(2), pages 407-424, March.
    18. Rezaei Somarin, Aghil & Chen, Songlin & Asian, Sobhan & Wang, David Z.W., 2017. "A heuristic stock allocation rule for repairable service parts," International Journal of Production Economics, Elsevier, vol. 184(C), pages 131-140.
    19. Jian Yang, 2004. "Production Control in the Face of Storable Raw Material, Random Supply, and an Outside Market," Operations Research, INFORMS, vol. 52(2), pages 293-311, April.
    20. Saif Benjaafar & William L. Cooper & Joon-Seok Kim, 2005. "On the Benefits of Pooling in Production-Inventory Systems," Management Science, INFORMS, vol. 51(4), pages 548-565, April.

    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:spr:orspec:v:39:y:2017:i:1:d:10.1007_s00291-016-0448-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.