IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v245y2022ics0925527321003595.html
   My bibliography  Save this article

Integrated production-delivery control policy for an unreliable manufacturing system and multiple retailers

Author

Listed:
  • Dhahri, Akrem
  • Gharbi, Ali
  • Ouhimmou, Mustapha

Abstract

Production control policies have been studied in the literature for different types of unreliable manufacturing systems. But only few have been addressed to the unreliable manufacturer-retailer systems. We consider the integrated production and delivery control for an unreliable manufacturing system and multiple retailers. The retailers, supplied by the manufacturer through a common warehouse, are located in different sites and face different demand rates. We determine the optimal joint production and delivery control policy with the objective of minimizing the total cost, which comprises holding/backlog in addition to transportation costs. The stochastic optimal control and the impulse control theory are used to develop the optimal control policy (policy 1). The production is controlled by a hedging point policy and the delivery policy is governed by a state dependent economic order quantity. The optimal parameters of the proposed policy are determined by adopting a simulation-based optimization approach. A sensitivity analysis is conducted to verify the robustness of the results. An improved policy (policy 2) involving priority rules for delivery is proposed using a simulation-based approach. We conduct a comparative study of the new policies (policy 1 and 2) and the most relevant policy found in the literature (policy 3), and the results show that the new proposed improved policy (policy 2) outperforms others.

Suggested Citation

  • Dhahri, Akrem & Gharbi, Ali & Ouhimmou, Mustapha, 2022. "Integrated production-delivery control policy for an unreliable manufacturing system and multiple retailers," International Journal of Production Economics, Elsevier, vol. 245(C).
  • Handle: RePEc:eee:proeco:v:245:y:2022:i:c:s0925527321003595
    DOI: 10.1016/j.ijpe.2021.108383
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527321003595
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2021.108383?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. Sadok Turki & Stanislav Didukh & Christophe Sauvey & Nidhal Rezg, 2017. "Optimization and Analysis of a Manufacturing–Remanufacturing–Transport–Warehousing System within a Closed-Loop Supply Chain," Sustainability, MDPI, vol. 9(4), pages 1-20, April.
    2. Lu, Lu, 1995. "A one-vendor multi-buyer integrated inventory model," European Journal of Operational Research, Elsevier, vol. 81(2), pages 312-323, March.
    3. Boray Huang & Seyed M. R. Iravani, 2005. "Production Control Policies in Supply Chains with Selective-Information Sharing," Operations Research, INFORMS, vol. 53(4), pages 662-674, August.
    4. Glock, C. H., 2010. "Batch sizing with controllable production rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57823, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Bhatnagar, Rohit & Lin, Bing, 2019. "The joint transshipment and production control policies for multi-location production/inventory systems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 957-970.
    6. Ertogral, K. & Darwish, M. & Ben-Daya, M., 2007. "Production and shipment lot sizing in a vendor-buyer supply chain with transportation cost," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1592-1606, February.
    7. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
    8. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Wee, H. M. & Yang, P. C., 2004. "The optimal and heuristic solutions of a distribution network," European Journal of Operational Research, Elsevier, vol. 158(3), pages 626-632, November.
    10. Berthaut, F. & Gharbi, A. & Kenné, J.-P. & Boulet, J.-F., 2010. "Improved joint preventive maintenance and hedging point policy," International Journal of Production Economics, Elsevier, vol. 127(1), pages 60-72, September.
    11. Hlioui, Rached & Gharbi, Ali & Hajji, Adnène, 2017. "Joint supplier selection, production and replenishment of an unreliable manufacturing-oriented supply chain," International Journal of Production Economics, Elsevier, vol. 187(C), pages 53-67.
    12. Kleijnen, J.P.C. & van Beers, W.C.M. & van Nieuwenhuyse, I., 2008. "Constrained Optimization in Simulation : A Novel Approach," Other publications TiSEM e49ba0fc-853c-4a13-b564-d, Tilburg University, School of Economics and Management.
    13. Lee, Chungseung & Park, Kun Soo, 2016. "Inventory and transshipment decisions in the rationing game under capacity uncertainty," Omega, Elsevier, vol. 65(C), pages 82-97.
    14. Zhang, Tinglong & Liang, Liang & Yu, Yugang & Yu, Yan, 2007. "An integrated vendor-managed inventory model for a two-echelon system with order cost reduction," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 241-253, September.
    15. Wakhid Ahmad Jauhari & Nelita Putri Sejati & Cucuk Nur Rosyidi, 2016. "A collaborative supply chain inventory model with defective items, adjusted production rate and variable lead time," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 9(6), pages 733-750.
    16. Kleijnen, Jack P.C. & Beers, Wim van & Nieuwenhuyse, Inneke van, 2010. "Constrained optimization in expensive simulation: Novel approach," European Journal of Operational Research, Elsevier, vol. 202(1), pages 164-174, April.
    17. Li, Wei & Chen, Jing, 2020. "Manufacturer’s vertical integration strategies in a three-tier supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 135(C).
    18. Hajji, Adnene & Gharbi, Ali & Kenne, Jean-Pierre & Pellerin, Robert, 2011. "Production control and replenishment strategy with multiple suppliers," European Journal of Operational Research, Elsevier, vol. 208(1), pages 67-74, January.
    19. Piñeyro, Pedro & Viera, Omar, 2010. "The economic lot-sizing problem with remanufacturing and one-way substitution," International Journal of Production Economics, Elsevier, vol. 124(2), pages 482-488, April.
    20. Rad, Reza Hosseini & Razmi, Jafar & Sangari, Mohamad Sadegh & Ebrahimi, Zahra Fallah, 2014. "Optimizing an integrated vendor-managed inventory system for a single-vendor two-buyer supply chain with determining weighting factor for vendor׳s ordering cost," International Journal of Production Economics, Elsevier, vol. 153(C), pages 295-308.
    21. Kenné, Jean-Pierre & Gharbi, Ali, 2018. "Production and replacement policies for a deteriorating manufacturing system under random demand and qualityAuthor-Name: Ouaret, Samir," European Journal of Operational Research, Elsevier, vol. 264(2), pages 623-636.
    22. AlDurgam, Mohammad & Adegbola, Kehinde & Glock, Christoph H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," International Journal of Production Economics, Elsevier, vol. 191(C), pages 335-350.
    23. Mourani, Iyad & Hennequin, Sophie & Xie, Xiaolan, 2008. "Simulation-based optimization of a single-stage failure-prone manufacturing system with transportation delay," International Journal of Production Economics, Elsevier, vol. 112(1), pages 26-36, March.
    24. Bouslah, Bassem & Gharbi, Ali & Pellerin, Robert, 2018. "Joint production, quality and maintenance control of a two-machine line subject to operation-dependent and quality-dependent failures," International Journal of Production Economics, Elsevier, vol. 195(C), pages 210-226.
    25. AlDurgham, M. & Adegbola, K. & Glock, C. H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 87594, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    26. Kim, T. & Glock, C. H., 2018. "Production planning for a two-stage production system with multiple parallel machines and variable production rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 90347, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    27. Jiawen Hu & Zuhua Jiang & Hong Wang, 2017. "Joint Optimization of Production Plan and Preventive Maintenance Schedule by Stackelberg Game," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-28, August.
    28. Zanoni, S. & Bettoni, L. & Glock, C. H., 2014. "Energy Implications in a Two-Stage Production System with Controllable Production Rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62117, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    29. Christian Wankmüller & Gerald Reiner, 2020. "Coordination, cooperation and collaboration in relief supply chain management," Journal of Business Economics, Springer, vol. 90(2), pages 239-276, March.
    30. Woo, York Y. & Hsu, Shu-Lu & Wu, Soushan, 2001. "An integrated inventory model for a single vendor and multiple buyers with ordering cost reduction," International Journal of Production Economics, Elsevier, vol. 73(3), pages 203-215, October.
    31. Giri, B. C. & Yun, W. Y. & Dohi, T., 2005. "Optimal design of unreliable production-inventory systems with variable production rate," European Journal of Operational Research, Elsevier, vol. 162(2), pages 372-386, April.
    32. Kim, Taebok & Glock, Christoph H., 2018. "Production planning for a two-stage production system with multiple parallel machines and variable production rates," International Journal of Production Economics, Elsevier, vol. 196(C), pages 284-292.
    33. Zanoni, Simone & Bettoni, Laura & Glock, Christoph H., 2014. "Energy implications in a two-stage production system with controllable production rates," International Journal of Production Economics, Elsevier, vol. 149(C), pages 164-171.
    34. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    35. Pellerin, Robert & Perrier, Nathalie & Berthaut, François, 2020. "A survey of hybrid metaheuristics for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 280(2), pages 395-416.
    36. Glock, C. H., 2011. "Batch sizing with controllable production rates in a multi-stage production system," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57822, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    37. El-Ferik, Sami, 2008. "Economic production lot-sizing for an unreliable machine under imperfect age-based maintenance policy," European Journal of Operational Research, Elsevier, vol. 186(1), pages 150-163, April.
    38. Chan, Chi Kin & Wong, Wai Him & Langevin, A. & Lee, Y.C.E., 2017. "An integrated production-inventory model for deteriorating items with consideration of optimal production rate and deterioration during delivery," International Journal of Production Economics, Elsevier, vol. 189(C), pages 1-13.
    39. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    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. Zhang, Nan & Cai, Kaiquan & Deng, Yingjun & Zhang, Jun, 2023. "Determining the optimal production–maintenance policy of a parallel production system with stochastically interacted yield and deterioration," Reliability Engineering and System Safety, Elsevier, vol. 237(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. Glock, Christoph H. & Grosse, Eric H., 2021. "The impact of controllable production rates on the performance of inventory systems: A systematic review of the literature," European Journal of Operational Research, Elsevier, vol. 288(3), pages 703-720.
    2. Asif Iqbal Malik & Biswajit Sarkar, 2020. "Coordination Supply Chain Management Under Flexible Manufacturing, Stochastic Leadtime Demand, and Mixture of Inventory," Mathematics, MDPI, vol. 8(6), pages 1-32, June.
    3. Tarhini, Hussein & Karam, Mario & Jaber, Mohamad Y., 2020. "An integrated single-vendor multi-buyer production inventory model with transshipments between buyers," International Journal of Production Economics, Elsevier, vol. 225(C).
    4. AlDurgam, Mohammad & Adegbola, Kehinde & Glock, Christoph H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," International Journal of Production Economics, Elsevier, vol. 191(C), pages 335-350.
    5. Lucio Enrico Zavanella & Beatrice Marchi & Simone Zanoni & Ivan Ferretti, 2019. "Energy considerations for the economic production quantity and the joint economic lot sizing," Journal of Business Economics, Springer, vol. 89(7), pages 845-865, September.
    6. Herbon, Avi & David, Israel, 2023. "Optimal manufacturer's cost sharing ratio, shipping policy and production rate – A two-echelon supply chain," Operations Research Perspectives, Elsevier, vol. 10(C).
    7. Chan, Chi Kin & Fang, Fei & Langevin, André, 2018. "Single-vendor multi-buyer supply chain coordination with stochastic demand," International Journal of Production Economics, Elsevier, vol. 206(C), pages 110-133.
    8. Herbon, Avi, 2020. "An approximated solution to the constrained integrated manufacturer-buyer supply problem," Operations Research Perspectives, Elsevier, vol. 7(C).
    9. K. F. Mary Latha & M. Ganesh Kumar & R. Uthayakumar, 2021. "Two echelon economic lot sizing problems with geometric shipment policy backorder price discount and optimal investment to reduce ordering cost," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 1133-1163, December.
    10. Faranak Emtehani & Nasim Nahavandi & Farimah Mokhatab Rafiei, 2021. "A joint inventory–finance model for coordinating a capital-constrained supply chain with financing limitations," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-39, December.
    11. Wakhid Ahmad Jauhari & I Nyoman Pujawan & Mokh Suef, 2023. "Sustainable inventory management with hybrid production system and investment to reduce defects," Annals of Operations Research, Springer, vol. 324(1), pages 543-572, May.
    12. Sarker, Bhaba R. & Rochanaluk, Ratkrit & Yi, Huizhi & Egbelu, Pius J., 2014. "An operational policy for a three-stage distributive supply chain system with retailers’ backorders," International Journal of Production Economics, Elsevier, vol. 156(C), pages 332-345.
    13. Bazan, Ehab & Jaber, Mohamad Y. & Zanoni, Simone, 2017. "Carbon emissions and energy effects on a two-level manufacturer-retailer closed-loop supply chain model with remanufacturing subject to different coordination mechanisms," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 394-408.
    14. Kim, Taebok & Glock, Christoph H., 2018. "Production planning for a two-stage production system with multiple parallel machines and variable production rates," International Journal of Production Economics, Elsevier, vol. 196(C), pages 284-292.
    15. Beatriz Abdul-Jalbar & Roberto Dorta-Guerra & José M. Gutiérrez & Joaquín Sicilia, 2021. "Production/Inventory Policies for a Two-Echelon System with Credit Period Incentives," Mathematics, MDPI, vol. 9(15), pages 1-25, July.
    16. Ventura, José A. & Bunn, Kevin A. & Venegas, Bárbara B. & Duan, Lisha, 2021. "A coordination mechanism for supplier selection and order quantity allocation with price-sensitive demand and finite production rates," International Journal of Production Economics, Elsevier, vol. 233(C).
    17. Sudip Adak & G. S. Mahapatra, 2021. "Effect of inspection and rework of probabilistic defective production on two-layer supply chain incorporating deterioration and reliability dependent demand," 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. 12(3), pages 565-578, June.
    18. Jonas C.P. Yu & Kung-Jeng Wang & Yu-Siang Lin, 2016. "Managing dual warehouses with an incentive policy for deteriorating items," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 586-602, February.
    19. Ali Ekici & Baṣak Altan & Okan Örsan Özener, 2016. "Pricing decisions in a strategic single retailer/dual suppliers setting under order size constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1887-1898, April.
    20. Lee, Shine-Der & Fu, Yen-Chen, 2014. "Joint production and delivery lot sizing for a make-to-order producer–buyer supply chain with transportation cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 23-35.

    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:245:y:2022:i:c:s0925527321003595. 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.