IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v269y2018i1p313-326.html
   My bibliography  Save this article

A unified theory of the dynamics of closed-loop supply chains

Author

Listed:
  • Hosoda, Takamichi
  • Disney, Stephen M.

Abstract

We investigate the dynamics of a closed-loop supply chain with first-order auto-regressive (AR(1)) demand and return processes. We assume these two processes are cross-correlated. The remanufacturing process is subject to a random triage yield. Remanufactured products are considered as-good-as-new and used to partially satisfy market demand; newly manufactured products make up the remainder. We derive the optimal linear policy in our closed-loop supply chain setting to minimise the manufacturer’s inventory costs. We show that the lead-time paradox can emerge in many cases. In particular, the auto- and cross-correlation parameters and variances of the error terms in the demand and the returns, as well as the remanufacturing lead time, all influence the existence of the lead-time paradox. Finally, we propose managerial recommendations for manufacturers.

Suggested Citation

  • Hosoda, Takamichi & Disney, Stephen M., 2018. "A unified theory of the dynamics of closed-loop supply chains," European Journal of Operational Research, Elsevier, vol. 269(1), pages 313-326.
    • Handle: RePEc:eee:ejores:v:269:y:2018:i:1:p:313-326
    DOI: 10.1016/j.ejor.2017.07.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221717306471
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2017.07.020?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. Sadeghi, Ahmad, 2015. "Providing a measure for bullwhip effect in a two-product supply chain with exponential smoothing forecasts," International Journal of Production Economics, Elsevier, vol. 169(C), pages 44-54.
    2. Hau L. Lee & Kut C. So & Christopher S. Tang, 2000. "The Value of Information Sharing in a Two-Level Supply Chain," Management Science, INFORMS, vol. 46(5), pages 626-643, May.
    3. Zhang, Xiaolong, 2004. "The impact of forecasting methods on the bullwhip effect," International Journal of Production Economics, Elsevier, vol. 88(1), pages 15-27, March.
    4. Hedenstierna, Carl Philip T. & Disney, Stephen M., 2016. "Inventory performance under staggered deliveries and autocorrelated demand," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1082-1091.
    5. Disney, S. M. & Towill, D. R., 2003. "On the bullwhip and inventory variance produced by an ordering policy," Omega, Elsevier, vol. 31(3), pages 157-167, June.
    6. Ali, Mohammad M. & Babai, Mohamed Zied & Boylan, John E. & Syntetos, A.A., 2017. "Supply chain forecasting when information is not shared," European Journal of Operational Research, Elsevier, vol. 260(3), pages 984-994.
    7. Inderfurth, Karl & van der Laan, Erwin, 2001. "Leadtime effects and policy improvement for stochastic inventory control with remanufacturing," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 381-390, May.
    8. Dejonckheere, J. & Disney, S. M. & Lambrecht, M. R. & Towill, D. R., 2003. "Measuring and avoiding the bullwhip effect: A control theoretic approach," European Journal of Operational Research, Elsevier, vol. 147(3), pages 567-590, June.
    9. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
    10. Wang, Xun & Disney, Stephen M., 2016. "The bullwhip effect: Progress, trends and directions," European Journal of Operational Research, Elsevier, vol. 250(3), pages 691-701.
    11. Cannella, Salvatore & Bruccoleri, Manfredi & Framinan, Jose M., 2016. "Closed-loop supply chains: What reverse logistics factors influence performance?," International Journal of Production Economics, Elsevier, vol. 175(C), pages 35-49.
    12. Hosoda, Takamichi & Disney, Stephen M. & Gavirneni, Srinagesh, 2015. "The impact of information sharing, random yield, correlation, and lead times in closed loop supply chains," European Journal of Operational Research, Elsevier, vol. 246(3), pages 827-836.
    13. Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
    14. Mordechai Henig & Yigal Gerchak, 1990. "The Structure of Periodic Review Policies in the Presence of Random Yield," Operations Research, INFORMS, vol. 38(4), pages 634-643, August.
    15. Hosoda, Takamichi & Disney, Stephen M., 2006. "On variance amplification in a three-echelon supply chain with minimum mean square error forecasting," Omega, Elsevier, vol. 34(4), pages 344-358, August.
    16. Herbert J. Vassian, 1955. "Application of Discrete Variable Servo Theory to Inventory Control," Operations Research, INFORMS, vol. 3(3), pages 272-282, August.
    17. Tatiene Coelho & Rosani Castro & Jose Alcides Gobbo Junior, 2012. "PET Containers in Brazil: A Logistics Model for Post-Consumer Waste Recycling," Chapters, in: Enri Damanhuri (ed.), Post-Consumer Waste Recycling and Optimal Production, IntechOpen.
    18. van der Laan, Erwin & Salomon, Marc & Dekker, Rommert, 1999. "An investigation of lead-time effects in manufacturing/remanufacturing systems under simple PUSH and PULL control strategies," European Journal of Operational Research, Elsevier, vol. 115(1), pages 195-214, 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. Agata Mesjasz-Lech & Pál Michelberger, 2019. "Sustainable Waste Logistics and the Development of Trade in Recyclable Raw Materials in Poland and Hungary," Sustainability, MDPI, vol. 11(15), pages 1-17, August.
    2. Robert N. Boute & Stephen M. Disney & Joren Gijsbrechts & Jan A. Van Mieghem, 2022. "Dual Sourcing and Smoothing Under Nonstationary Demand Time Series: Reshoring with SpeedFactories," Management Science, INFORMS, vol. 68(2), pages 1039-1057, February.
    3. Lin, Junyi & Naim, Mohamed M. & Tang, Ou, 2024. "In-house or outsourcing? The impact of remanufacturing strategies on the dynamics of component remanufacturing systems under lifecycle demand and returns," European Journal of Operational Research, Elsevier, vol. 315(3), pages 965-979.
    4. Dominguez, Roberto & Cannella, Salvatore & Ponte, Borja & Framinan, Jose M., 2020. "On the dynamics of closed-loop supply chains under remanufacturing lead time variability," Omega, Elsevier, vol. 97(C).
    5. María Arquer & Borja Ponte & Raúl Pino, 2022. "Examining the balance between efficiency and resilience in closed-loop supply chains," 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(4), pages 1307-1336, December.
    6. Fu, Lingxian & Tang, Jie & Meng, Fanyong, 2021. "A disease transmission inspired closed-loop supply chain dynamic model for product collection," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    7. Ponte, Borja & Dominguez, Roberto & Cannella, Salvatore & Framinan, Jose M., 2022. "The implications of batching in the bullwhip effect and customer service of closed-loop supply chains," International Journal of Production Economics, Elsevier, vol. 244(C).
    8. Ponte, Borja & Naim, Mohamed M. & Syntetos, Aris A., 2019. "The value of regulating returns for enhancing the dynamic behaviour of hybrid manufacturing-remanufacturing systems," European Journal of Operational Research, Elsevier, vol. 278(2), pages 629-645.
    9. Jackson Jinhong Mi & Zongsheng Huang & Kai Wang & Sang-Bing Tsai & Guodong Li & Jiangtao Wang, 2018. "The Presence of a Powerful Retailer on Dynamic Collecting Closed-Loop Supply Chain From a Sustainable Innovation Perspective," Sustainability, MDPI, vol. 10(7), pages 1-17, June.
    10. Dominguez, Roberto & Cannella, Salvatore & Framinan, Jose M., 2021. "Remanufacturing configuration in complex supply chains," Omega, Elsevier, vol. 101(C).
    11. Ponte, Borja & Cannella, Salvatore & Dominguez, Roberto & Naim, Mohamed M. & Syntetos, Aris A., 2021. "Quality grading of returns and the dynamics of remanufacturing," International Journal of Production Economics, Elsevier, vol. 236(C).
    12. Lin, Junyi & Zhou, Li & Spiegler, Virginia L.M. & Naim, Mohamed M. & Syntetos, Aris, 2022. "Push or Pull? The impact of ordering policy choice on the dynamics of a hybrid closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 300(1), pages 282-295.
    13. Ponte, Borja & Framinan, Jose M. & Cannella, Salvatore & Dominguez, Roberto, 2020. "Quantifying the Bullwhip Effect in closed-loop supply chains: The interplay of information transparencies, return rates, and lead times," International Journal of Production Economics, Elsevier, vol. 230(C).
    14. Yang, Y. & Lin, J. & Hedenstierna, C.P.T. & Zhou, L., 2023. "The more the better? The impact of the number and location of product recovery options on the system dynamics in a closed-loop supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    15. Hosoda, Takamichi & Disney, Stephen M. & Zhou, Li, 2021. "The yield rate paradox in closed-loop supply chains," International Journal of Production Economics, Elsevier, vol. 239(C).
    16. Framinan, Jose M., 2024. "An analysis of the supply chain dynamics of remanufacturing with multiple collectors," International Journal of Production Economics, Elsevier, vol. 267(C).

    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. Hosoda, Takamichi & Disney, Stephen M. & Zhou, Li, 2021. "The yield rate paradox in closed-loop supply chains," International Journal of Production Economics, Elsevier, vol. 239(C).
    2. Ponte, Borja & Cannella, Salvatore & Dominguez, Roberto & Naim, Mohamed M. & Syntetos, Aris A., 2021. "Quality grading of returns and the dynamics of remanufacturing," International Journal of Production Economics, Elsevier, vol. 236(C).
    3. Hosoda, Takamichi & Disney, Stephen M. & Gavirneni, Srinagesh, 2015. "The impact of information sharing, random yield, correlation, and lead times in closed loop supply chains," European Journal of Operational Research, Elsevier, vol. 246(3), pages 827-836.
    4. Ponte, Borja & Framinan, Jose M. & Cannella, Salvatore & Dominguez, Roberto, 2020. "Quantifying the Bullwhip Effect in closed-loop supply chains: The interplay of information transparencies, return rates, and lead times," International Journal of Production Economics, Elsevier, vol. 230(C).
    5. Ahmed Shaban & Mohamed A. Shalaby & Giulio Di Gravio & Riccardo Patriarca, 2020. "Analysis of Variance Amplification and Service Level in a Supply Chain with Correlated Demand," Sustainability, MDPI, vol. 12(16), pages 1-27, August.
    6. Wang, Xun & Disney, Stephen M., 2016. "The bullwhip effect: Progress, trends and directions," European Journal of Operational Research, Elsevier, vol. 250(3), pages 691-701.
    7. Nepal, Bimal & Murat, Alper & Babu Chinnam, Ratna, 2012. "The bullwhip effect in capacitated supply chains with consideration for product life-cycle aspects," International Journal of Production Economics, Elsevier, vol. 136(2), pages 318-331.
    8. Rostami-Tabar, Bahman & Disney, Stephen M., 2023. "On the order-up-to policy with intermittent integer demand and logically consistent forecasts," International Journal of Production Economics, Elsevier, vol. 257(C).
    9. Rupesh Kumar Pati, 2014. "Modelling Bullwhip Effect in a Closed Loop Supply Chain with ARMA Demand," IIM Kozhikode Society & Management Review, , vol. 3(2), pages 149-164, July.
    10. Hosoda, Takamichi & Disney, Stephen M., 2006. "On variance amplification in a three-echelon supply chain with minimum mean square error forecasting," Omega, Elsevier, vol. 34(4), pages 344-358, August.
    11. Dass, Mayukh & Reshadi, Mehrnoosh & Li, Yuewu, 2023. "An exploration of ripple effects of advertising among major suppliers in a supply chain network," Journal of Business Research, Elsevier, vol. 169(C).
    12. Ponte, Borja & Costas, José & Puche, Julio & Pino, Raúl & de la Fuente, David, 2018. "The value of lead time reduction and stabilization: A comparison between traditional and collaborative supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 165-185.
    13. Ciancimino, Elena & Cannella, Salvatore & Bruccoleri, Manfredi & Framinan, Jose M., 2012. "On the Bullwhip Avoidance Phase: The Synchronised Supply Chain," European Journal of Operational Research, Elsevier, vol. 221(1), pages 49-63.
    14. Pastore, Erica & Alfieri, Arianna & Zotteri, Giulio & Boylan, John E., 2020. "The impact of demand parameter uncertainty on the bullwhip effect," European Journal of Operational Research, Elsevier, vol. 283(1), pages 94-107.
    15. Junhai Ma & Xiaogang Ma, 2017. "Measure of the bullwhip effect considering the market competition between two retailers," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 313-326, January.
    16. Dejian Yu & Zhaoping Yan, 2021. "Knowledge diffusion of supply chain bullwhip effect: main path analysis and science mapping analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(10), pages 8491-8515, October.
    17. Hoberg, Kai & Bradley, James R. & Thonemann, Ulrich W., 2007. "Analyzing the effect of the inventory policy on order and inventory variability with linear control theory," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1620-1642, February.
    18. K. Devika & A. Jafarian & A. Hassanzadeh & R. Khodaverdi, 2016. "Optimizing of bullwhip effect and net stock amplification in three-echelon supply chains using evolutionary multi-objective metaheuristics," Annals of Operations Research, Springer, vol. 242(2), pages 457-487, July.
    19. Rostami-Tabar, Bahman & Babai, M. Zied & Ali, Mohammad & Boylan, John E., 2019. "The impact of temporal aggregation on supply chains with ARMA(1,1) demand processes," European Journal of Operational Research, Elsevier, vol. 273(3), pages 920-932.
    20. Nagaraja, Chaitra H. & McElroy, Tucker, 2018. "The multivariate bullwhip effect," European Journal of Operational Research, Elsevier, vol. 267(1), pages 96-106.

    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:269:y:2018:i:1:p:313-326. 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.