IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v119y2009i1p17-23.html
   My bibliography  Save this article

A model for a production-repair system under a time-varying demand process

Author

Listed:
  • Omar, Mohd
  • Yeo, Ivan

Abstract

In this study, we consider a production system that satisfies a continuous time-varying demand for a finished product over a known and finite planning horizon by supplying either new products or repaired used products. Our model assumes that new products are fabricated from a single type of raw material procured from external suppliers, while used products are collected from the customers and then repaired to an 'as new' condition before being sold again. However, we assume that there is no further collection of used products during the period when they are being repaired or shipped. The problem is to determine a joint policy for raw materials procurement, new products production and used products repair such that the total relevant cost of the system is minimized. We propose a numerical solution procedure based on Microsoft Excel Solver's nonlinear mathematical programming function. Then, the procedure is illustrated with a numerical example.

Suggested Citation

  • Omar, Mohd & Yeo, Ivan, 2009. "A model for a production-repair system under a time-varying demand process," International Journal of Production Economics, Elsevier, vol. 119(1), pages 17-23, May.
    • Handle: RePEc:eee:proeco:v:119:y:2009:i:1:p:17-23
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(09)00025-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Richter, Knut, 1996. "The extended EOQ repair and waste disposal model," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 443-447, August.
    2. Konstantaras, I. & Papachristos, S., 2008. "A note on: Developing an exact solution for an inventory system with product recovery," International Journal of Production Economics, Elsevier, vol. 111(2), pages 707-712, February.
    3. Mabini, Marilyn C. & Pintelon, Liliane M. & Gelders, Ludo F., 1992. "EOQ type formulations for controlling repairable inventories," International Journal of Production Economics, Elsevier, vol. 28(1), pages 21-33, November.
    4. Richter, Knut & Dobos, Imre, 1999. "Analysis of the EOQ repair and waste disposal problem with integer setup numbers," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 463-467, March.
    5. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    6. Daniel Fylstra & Leon Lasdon & John Watson & Allan Waren, 1998. "Design and Use of the Microsoft Excel Solver," Interfaces, INFORMS, vol. 28(5), pages 29-55, October.
    7. Spengler, Th. & Puchert, H. & Penkuhn, T. & Rentz, O., 1997. "Environmental integrated production and recycling management," European Journal of Operational Research, Elsevier, vol. 97(2), pages 308-326, March.
    8. Dobos, Imre & Richter, Knut, 2004. "An extended production/recycling model with stationary demand and return rates," International Journal of Production Economics, Elsevier, vol. 90(3), pages 311-323, August.
    9. Richter, Knut, 1996. "The EOQ repair and waste disposal model with variable setup numbers," European Journal of Operational Research, Elsevier, vol. 95(2), pages 313-324, December.
    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. Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "An inventory model for deteriorating items with shortages and time-varying demand," International Journal of Production Economics, Elsevier, vol. 155(C), pages 155-162.
    2. Hsieh, Chung-Chi & Lathifah, Artya, 2022. "Ordering and waste reuse decisions in a make-to-order system under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1290-1303.
    3. Adel A. Alamri, 2023. "A Sustainable Closed-Loop Supply Chains Inventory Model Considering Optimal Number of Remanufacturing Times," Sustainability, MDPI, vol. 15(12), pages 1-23, June.
    4. Lakdere Benkherouf & Konstantina Skouri & Ioannis Konstantaras, 2016. "Optimal Control of Production, Remanufacturing and Refurbishing Activities in a Finite Planning Horizon Inventory System," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 677-698, February.
    5. Omar, Mohd & Yeo, Ivan, 2014. "A production–repair inventory model with time-varying demand and multiple setups," International Journal of Production Economics, Elsevier, vol. 155(C), pages 398-405.
    6. Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 163-171.

    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. Kozlovskaya, Nadezhda & Pakhomova, Nadezhda & Richter, Knut, 2016. "A general production and recovery EOQ model with stationary demand and return rates," Discussion Papers 378, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.
    2. Choi, Dae-Won & Hwang, Hark & Koh, Shie-Gheun, 2007. "A generalized ordering and recovery policy for reusable items," European Journal of Operational Research, Elsevier, vol. 182(2), pages 764-774, October.
    3. Jaber, Mohamad Y. & El Saadany, Ahmed M.A., 2009. "The production, remanufacture and waste disposal model with lost sales," International Journal of Production Economics, Elsevier, vol. 120(1), pages 115-124, July.
    4. Sumit Maheshwari & Amrina Kausar & Ahmad Hasan & Chandra K. Jaggi, 2023. "Sustainable inventory model for a three-layer supply chain using optimal waste management," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 216-235, March.
    5. Kozlovskaya, Nadezhda & Pakhomova, Nadezhda & Richter, Knut, 2015. "Complete solution of the extended EOQ repair and waste disposal model with switching costs," Discussion Papers 376, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.
    6. Hsieh, Chung-Chi & Lathifah, Artya, 2022. "Ordering and waste reuse decisions in a make-to-order system under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1290-1303.
    7. El Saadany, Ahmed M.A. & Jaber, Mohamad Y., 2011. "A production/remanufacture model with returns' subassemblies managed differently," International Journal of Production Economics, Elsevier, vol. 133(1), pages 119-126, September.
    8. Omar, Mohd & Yeo, Ivan, 2014. "A production–repair inventory model with time-varying demand and multiple setups," International Journal of Production Economics, Elsevier, vol. 155(C), pages 398-405.
    9. El Saadany, Ahmed M.A. & Jaber, Mohamad Y. & Bonney, Maurice, 2013. "How many times to remanufacture?," International Journal of Production Economics, Elsevier, vol. 143(2), pages 598-604.
    10. Bimal Kumar Mawandiya & J. K. Jha & Jitesh J. Thakkar, 2020. "Optimal production-inventory policy for closed-loop supply chain with remanufacturing under random demand and return," Operational Research, Springer, vol. 20(3), pages 1623-1664, September.
    11. Mostafa Parsa & Ali Shahandeh Nookabadi & Zümbül Atan & Yaser Malekian, 2022. "An optimal inventory policy for a multi-echelon closed-loop supply chain of postconsumer recycled content products," Operational Research, Springer, vol. 22(3), pages 1887-1938, July.
    12. Adel A. Alamri, 2023. "A Sustainable Closed-Loop Supply Chains Inventory Model Considering Optimal Number of Remanufacturing Times," Sustainability, MDPI, vol. 15(12), pages 1-23, June.
    13. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    14. Byung Duk Song & Young Dae Ko, 2017. "Effect of Inspection Policies and Residual Value of Collected Used Products: A Mathematical Model and Genetic Algorithm for a Closed-Loop Green Manufacturing System," Sustainability, MDPI, vol. 9(9), pages 1-14, September.
    15. Jaber, Mohamad Y. & Rosen, Marc A., 2008. "The economic order quantity repair and waste disposal model with entropy cost," European Journal of Operational Research, Elsevier, vol. 188(1), pages 109-120, July.
    16. Melis Teksan, Z. & Geunes, Joseph, 2016. "An EOQ model with price-dependent supply and demand," International Journal of Production Economics, Elsevier, vol. 178(C), pages 22-33.
    17. Ullah, Mehran & Sarkar, Biswajit, 2020. "Recovery-channel selection in a hybrid manufacturing-remanufacturing production model with RFID and product quality," International Journal of Production Economics, Elsevier, vol. 219(C), pages 360-374.
    18. Gou, Qinglong & Liang, Liang & Huang, Zhimin & Xu, Chuanyong, 2008. "A joint inventory model for an open-loop reverse supply chain," International Journal of Production Economics, Elsevier, vol. 116(1), pages 28-42, November.
    19. V. Daniel R. Guide & Vaidyanathan Jayaraman & Rajesh Srivastava & W. C. Benton, 2000. "Supply-Chain Management for Recoverable Manufacturing Systems," Interfaces, INFORMS, vol. 30(3), pages 125-142, June.
    20. Lucas Dias Condeixa & Pierry Silva & Diego Moah & Brenda Farias & Adriana Leiras, 2022. "Evaluating cost impacts on reverse logistics using an Economic Order Quantity (EOQ) model with environmental and social considerations," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 921-940, September.

    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:proeco:v:119:y:2009:i:1:p:17-23. 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/ijpe .

    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.