IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v141y2006i1p67-8310.1007-s10479-006-5294-8.html
   My bibliography  Save this article

Numerical analysis of(s, S) inventory systems with repeated attempts

Author

Listed:
  • J. Artalejo
  • A. Krishnamoorthy
  • M. Lopez-Herrero

Abstract

This paper deals with a continuous review (s,S) inventory system where arriving demands finding the system out of stock, leave the service area and repeat their request after some random time. This assumption introduces a natural alternative to classical approaches based either on lost demand models or on backlogged models. The stochastic model formulation is based on a bidimensional Markov process which is numerically solved to investigate the essential operating characteristics of the system. An optimal design problem is also considered. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • J. Artalejo & A. Krishnamoorthy & M. Lopez-Herrero, 2006. "Numerical analysis of(s, S) inventory systems with repeated attempts," Annals of Operations Research, Springer, vol. 141(1), pages 67-83, January.
    • Handle: RePEc:spr:annopr:v:141:y:2006:i:1:p:67-83:10.1007/s10479-006-5294-8
    DOI: 10.1007/s10479-006-5294-8
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-006-5294-8
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-006-5294-8?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. Fleischmann, Moritz & Kuik, Roelof & Dekker, Rommert, 2002. "Controlling inventories with stochastic item returns: A basic model," European Journal of Operational Research, Elsevier, vol. 138(1), pages 63-75, April.
    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. Agassi Melikov & Ramil Mirzayev & Sajeev S. Nair, 2022. "Double Sources Queuing-Inventory System with Hybrid Replenishment Policy," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    2. P., Vijaya Laxmi & M.L., Soujanya, 2015. "Perishable inventory system with service interruptions, retrial demands and negative customers," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 102-110.
    3. I. Padmavathi & B. Sivakumar & G. Arivarignan, 2015. "A retrial inventory system with single and modified multiple vacation for server," Annals of Operations Research, Springer, vol. 233(1), pages 335-364, October.
    4. Samira Taleb & Amar Aissani, 2016. "Preventive maintenance in an unreliable M/G/1 retrial queue with persistent and impatient customers," Annals of Operations Research, Springer, vol. 247(1), pages 291-317, December.
    5. M. Nithya & Gyanendra Prasad Joshi & C. Sugapriya & S. Selvakumar & N. Anbazhagan & Eunmok Yang & Ill Chul Doo, 2022. "Analysis of Stochastic State-Dependent Arrivals in a Queueing-Inventory System with Multiple Server Vacation and Retrial Facility," Mathematics, MDPI, vol. 10(17), pages 1-29, August.
    6. Wang, Fong-Fan, 2023. "An efficient optimization procedure for location-inventory problems with (S-1, S) policy and retrial demands," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 664-688.
    7. Arpita Roy & Shib Sankar Sana & Kripasindhu Chaudhuri, 2018. "Optimal Pricing of competing retailers under uncertain demand-a two layer supply chain model," Annals of Operations Research, Springer, vol. 260(1), pages 481-500, January.
    8. K. Jeganathan & M. Abdul Reiyas & S. Selvakumar & N. Anbazhagan & S. Amutha & Gyanendra Prasad Joshi & Duckjoong Jeon & Changho Seo, 2022. "Markovian Demands on Two Commodity Inventory System with Queue-Dependent Services and an Optional Retrial Facility," Mathematics, MDPI, vol. 10(12), pages 1-22, June.
    9. Jinting Wang & Zhongbin Wang & Yunan Liu, 2020. "Reducing Delay in Retrial Queues by Simultaneously Differentiating Service and Retrial Rates," Operations Research, INFORMS, vol. 68(6), pages 1648-1667, November.
    10. Kathirvel Jeganathan & Thanushkodi Harikrishnan & Kumarasankaralingam Lakshmanan & Agassi Melikov & Janos Sztrik, 2023. "Modeling of Junior Servers Approaching a Senior Server in the Retrial Queuing-Inventory System," Mathematics, MDPI, vol. 11(22), pages 1-31, November.

    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. Gregory A. DeCroix & Jing-Sheng Song & Paul H. Zipkin, 2009. "Managing an Assemble-to-Order System with Returns," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 144-159, October.
    2. Feng, Yan & Viswanathan, S., 2014. "Heuristics with guaranteed performance bounds for a manufacturing system with product recovery," European Journal of Operational Research, Elsevier, vol. 232(2), pages 322-329.
    3. Vercraene, Samuel & Gayon, Jean-Philippe & Flapper, Simme Douwe, 2014. "Coordination of manufacturing, remanufacturing and returns acceptance in hybrid manufacturing/remanufacturing systems," International Journal of Production Economics, Elsevier, vol. 148(C), pages 62-70.
    4. Zerhouni, Hichem & Gayon, Jean-Philippe & Frein, Yannick, 2013. "Influence of dependency between demands and returns in a reverse logistics system," International Journal of Production Economics, Elsevier, vol. 143(1), pages 62-71.
    5. Felix T.S. Chan & Nan Li & S.H. Chung & Mozafar Saadat, 2017. "Management of sustainable manufacturing systems-a review on mathematical problems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1210-1225, February.
    6. Shi, Jianmai & Zhang, Guoqing & Sha, Jichang, 2011. "Optimal production and pricing policy for a closed loop system," Resources, Conservation & Recycling, Elsevier, vol. 55(6), pages 639-647.
    7. Hallak, Bassam K. & Nasr, Walid W. & Jaber, Mohamad Y., 2021. "Re-ordering policies for inventory systems with recyclable items and stochastic demand – Outsourcing vs. in-house recycling," Omega, Elsevier, vol. 105(C).
    8. Tahirov, Nail & Hasanov, Parviz & Jaber, Mohamad Y., 2016. "Optimization of closed-loop supply chain of multi-items with returned subassemblies," International Journal of Production Economics, Elsevier, vol. 174(C), pages 1-10.
    9. Carrasco-Gallego, R. & Ponce-Cueto, E. & Dekker, R., 2009. "A framework for closed-loop supply chains of reusable articles," Econometric Institute Research Papers EI 2009-21, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    10. Eugene A. Feinberg & Mark E. Lewis, 2007. "Optimality Inequalities for Average Cost Markov Decision Processes and the Stochastic Cash Balance Problem," Mathematics of Operations Research, INFORMS, vol. 32(4), pages 769-783, November.
    11. de Brito, Marisa P. & van der Laan, Erwin A., 2009. "Inventory control with product returns: The impact of imperfect information," European Journal of Operational Research, Elsevier, vol. 194(1), pages 85-101, April.
    12. Corbacıoğlu, U. & van der Laan, E.A., 2005. "Setting the holding cost rates in a multi-product system with remanufacturing," ERIM Report Series Research in Management ERS-2005-072-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Weimin Ma & Ranran Zhang & Shiwei Chai, 2019. "What Drives Green Innovation? A Game Theoretic Analysis of Government Subsidy and Cooperation Contract," Sustainability, MDPI, vol. 11(20), pages 1-24, October.
    14. Atamer, Büşra & Bakal, İsmail S. & Bayındır, Z. Pelin, 2013. "Optimal pricing and production decisions in utilizing reusable containers," International Journal of Production Economics, Elsevier, vol. 143(2), pages 222-232.
    15. Zolfagharinia, Hossein & Hafezi, Maryam & Farahani, Reza Zanjirani & Fahimnia, Behnam, 2014. "A hybrid two-stock inventory control model for a reverse supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 141-161.
    16. Gregory DeCroix & Jing-Sheng Song & Paul Zipkin, 2005. "A Series System with Returns: Stationary Analysis," Operations Research, INFORMS, vol. 53(2), pages 350-362, April.
    17. Pokharel, Shaligram & Mutha, Akshay, 2009. "Perspectives in reverse logistics: A review," Resources, Conservation & Recycling, Elsevier, vol. 53(4), pages 175-182.
    18. Sheu, Jiuh-Biing & Chen, Yenming J., 2014. "Transportation and economies of scale in recycling low-value materials," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 65-76.
    19. Xuanming Su, 2009. "Consumer Returns Policies and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 11(4), pages 595-612, March.
    20. de Brito, Marisa P. & Dekker, Rommert, 2003. "Modelling product returns in inventory control--exploring the validity of general assumptions," International Journal of Production Economics, Elsevier, vol. 81(1), pages 225-241, January.

    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:annopr:v:141:y:2006:i:1:p:67-83:10.1007/s10479-006-5294-8. 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.