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Optimizing inventory decisions in a multi-stage multi-customer supply chain: A note

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  • Cárdenas-Barrón, Leopoldo Eduardo

Abstract

In this paper, we propose an n-stage-multi-customer supply chain inventory model where there is a company that can supply products to several customers. We formulate the model for the simplest inventory coordination mechanism which is referred to as the same cycle time for all companies in the supply chain. We conclude that it is possible to use an algebraic approach to optimize the supply chain model without the use of differential calculus.

Suggested Citation

  • Cárdenas-Barrón, Leopoldo Eduardo, 2007. "Optimizing inventory decisions in a multi-stage multi-customer supply chain: A note," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 647-654, September.
    • Handle: RePEc:eee:transe:v:43:y:2007:i:5:p:647-654
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    Cited by:

    1. Joëlle Morana & Jesus Gonzalez-Feliu, 2010. "La logistique du dernier kilomètre : les défis d'un transport urbain « vert »," Working Papers halshs-00493701, HAL.
    2. Sarkar, Biswajit & Majumder, Arunava, 2013. "A study on three different dimensional facility location problems," Economic Modelling, Elsevier, vol. 30(C), pages 879-887.
    3. Ben-Daya, Mohammed & As’ad, Rami & Seliaman, Mohammed, 2013. "An integrated production inventory model with raw material replenishment considerations in a three layer supply chain," International Journal of Production Economics, Elsevier, vol. 143(1), pages 53-61.
    4. Abdelsalam, Hisham M. & Elassal, Magy M., 2014. "Joint economic lot sizing problem for a three—Layer supply chain with stochastic demand," International Journal of Production Economics, Elsevier, vol. 155(C), pages 272-283.
    5. De, Sujit Kumar & Sana, Shib Sankar, 2013. "Fuzzy order quantity inventory model with fuzzy shortage quantity and fuzzy promotional index," Economic Modelling, Elsevier, vol. 31(C), pages 351-358.
    6. Muhammad Waqas Iqbal & Muhammad Babar Ramzan & Asif Iqbal Malik, 2022. "Food Preservation within Multi-Echelon Supply Chain Considering Single Setup and Multi-Deliveries of Unequal Lot Size," Sustainability, MDPI, vol. 14(11), pages 1-30, June.
    7. Chang, Hung-Chi & Ho, Chia-Huei, 2010. "Exact closed-form solutions for "optimal inventory model for items with imperfect quality and shortage backordering"," Omega, Elsevier, vol. 38(3-4), pages 233-237, June.
    8. S. M. Shahidul Islam & Mohammad Abdul Hoque, 2017. "A joint economic lot size model for a supplier-manufacturer-retailers supply chain of an agricultural product," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 868-885, December.
    9. Roy, Arpita & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Optimal replenishment order for uncertain demand in three layer supply chain," Economic Modelling, Elsevier, vol. 29(6), pages 2274-2282.
    10. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "A three layer multi-item production–inventory model for multiple suppliers and retailers," Economic Modelling, Elsevier, vol. 29(6), pages 2704-2710.
    11. Sarkar, Biswajit & Ganguly, Baishakhi & Sarkar, Mitali & Pareek, Sarla, 2016. "Effect of variable transportation and carbon emission in a three-echelon supply chain model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 112-128.
    12. Sana, Shib Sankar, 2013. "Sales team's initiatives and stock sensitive demand — A production control policy," Economic Modelling, Elsevier, vol. 31(C), pages 783-788.
    13. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "A multi-echelon supply chain model for reworkable items in multiple-markets with supply disruption," Economic Modelling, Elsevier, vol. 29(5), pages 1891-1898.
    14. Ata Allah Taleizadeh & Mahsa Noori-daryan, 2016. "Pricing, inventory and production policies in a supply chain of pharmacological products with rework process: a game theoretic approach," Operational Research, Springer, vol. 16(1), pages 89-115, April.
    15. Cárdenas-Barrón, Leopoldo Eduardo & Sana, Shib Sankar, 2014. "A production-inventory model for a two-echelon supply chain when demand is dependent on sales teams׳ initiatives," International Journal of Production Economics, Elsevier, vol. 155(C), pages 249-258.
    16. Teng, Jinn-Tsair, 2009. "A simple method to compute economic order quantities," European Journal of Operational Research, Elsevier, vol. 198(1), pages 351-353, October.
    17. Mohamed E. Seliaman, 2013. "Optimizing the Two-Stage Supply Chain Inventory Model with Full Information Sharing and Two Backorders Costs Using Hybrid Geometric-Algebraic Method," Journal of Optimization, Hindawi, vol. 2013, pages 1-5, May.
    18. Arshinder & Kanda, Arun & Deshmukh, S.G., 2008. "Supply chain coordination: Perspectives, empirical studies and research directions," International Journal of Production Economics, Elsevier, vol. 115(2), pages 316-335, October.
    19. Sana, Shib Sankar, 2012. "A collaborating inventory model in a supply chain," Economic Modelling, Elsevier, vol. 29(5), pages 2016-2023.
    20. Sajadieh, Mohsen S. & Fallahnezhad, Mohammad Saber & Khosravi, Maryam, 2013. "A joint optimal policy for a multiple-suppliers multiple-manufacturers multiple-retailers system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 738-744.
    21. G. Cimini & M. Medo & T. Zhou & D. Wei & Y.-C. Zhang, 2011. "Heterogeneity, quality, and reputation in an adaptive recommendation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(2), pages 201-208, March.
    22. B. C. Giri & A. Chakraborty & T. Maiti, 2017. "Effectiveness of consignment stock policy in a three-level supply chain," Operational Research, Springer, vol. 17(1), pages 39-66, April.
    23. Mowmita Mishra & Soumya Kanti Hota & Santanu Kumar Ghosh & Biswajit Sarkar, 2020. "Controlling Waste and Carbon Emission for a Sustainable Closed-Loop Supply Chain Management under a Cap-and-Trade Strategy," Mathematics, MDPI, vol. 8(4), pages 1-24, March.
    24. Sarkar, Mitali & Sarkar, Biswajit, 2013. "An economic manufacturing quantity model with probabilistic deterioration in a production system," Economic Modelling, Elsevier, vol. 31(C), pages 245-252.

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