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Optimal Base-Stock Inventory-Management Policies of Cement Retailers under Supply-Side Disruptions

Author

Listed:
  • Manik Debnath

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Kolkata 711103, India)

  • Sanat Kr. Mazumder

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Kolkata 711103, India)

  • Md Billal Hossain

    (Doctoral School of Economic and Regional Sciences, Hungarian University of Agriculture and Life Sciences, 2100 Godollo, Hungary
    Business Management and Marketing Department, School of Business and Economics, Westminster International University in Tashkent (WIUT), Tashkent 100047, Uzbekistan)

  • Arindam Garai

    (Department of Mathematics, Sonarpur Mahavidyalaya, Rajpur, Kolkata 700149, India)

  • Csaba Balint Illes

    (Hungarian National Bank—Research Center, John Von Neumann University, 6000 Kecskemét, Hungary)

Abstract

The current study aims to identify some optimal base-stock inventory-management policies that maximize the expected long-run profitability of cement retailers under potential supply-side disruptions. Unlike existing articles, the proposed economic order-quantity model considers periodically varying random demand rates of deteriorating items together with partially back-ordered shortages in the face of those random disruptions. This study computes the global concavity to execute the exemplary aspect for the optimal base-stock level under a slew of cost components and a fixed cycle length. Regarding the optimal pricing-related policies, this study proposes that cement retailers should stock from nearby supplier points. Unlike existing articles, we find that changes to either the unit-holding cost or the unit-lost sales cost have hardly any determining effect on the long-run profitability of retailers. When supply-side disruptions are more likely to occur during peak seasons, this study advocates for a planned capacity addition and higher base-stock levels of cement bags.

Suggested Citation

  • Manik Debnath & Sanat Kr. Mazumder & Md Billal Hossain & Arindam Garai & Csaba Balint Illes, 2023. "Optimal Base-Stock Inventory-Management Policies of Cement Retailers under Supply-Side Disruptions," Mathematics, MDPI, vol. 11(18), pages 1-34, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3971-:d:1242739
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    References listed on IDEAS

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    1. He, Jian & Alavifard, Farzad & Ivanov, Dmitry & Jahani, Hamed, 2019. "A real-option approach to mitigate disruption risk in the supply chain," Omega, Elsevier, vol. 88(C), pages 133-149.
    2. Florian Lücker & Ralf W. Seifert & Işık Biçer, 2019. "Roles of inventory and reserve capacity in mitigating supply chain disruption risk," International Journal of Production Research, Taylor & Francis Journals, vol. 57(4), pages 1238-1249, February.
    3. Jessica Olivares-Aguila & Waguih ElMaraghy, 2021. "System dynamics modelling for supply chain disruptions," International Journal of Production Research, Taylor & Francis Journals, vol. 59(6), pages 1757-1775, March.
    4. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    5. Rimi Karmakar & Sanat K. Mazumder & Md Billal Hossain & Csaba Balint Illes & Arindam Garai, 2023. "Sustainable Green Economy for a Supply Chain with Remanufacturing by Both the Supplier and Manufacturer in a Varying Market," Logistics, MDPI, vol. 7(3), pages 1-48, July.
    6. Kouki, Chaaben & Legros, Benjamin & Zied Babai, M. & Jouini, Oualid, 2020. "Analysis of base-stock perishable inventory systems with general lifetime and lead-time," European Journal of Operational Research, Elsevier, vol. 287(3), pages 901-915.
    7. M. Ghandehari & M. Dezhtaherian, 2019. "An EOQ model for deteriorating items with partial backlogging and financial considerations," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 32(3), pages 269-284.
    8. Kouki, Chaaben & Babai, M. Zied & Jemai, Zied & Minner, Stefan, 2019. "Solution procedures for lost sales base-stock inventory systems with compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 209(C), pages 172-182.
    9. Chirakiat Saithong & Huynh Trung Luong, 2019. "Effect of supply disruption on inventory policy," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 13(2), pages 178-212.
    10. 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.
    11. Konstantaras, I. & Skouri, K. & Lagodimos, A.G., 2019. "EOQ with independent endogenous supply disruptions," Omega, Elsevier, vol. 83(C), pages 96-106.
    12. Puchkova, Alena & McFarlane, Duncan & Srinivasan, Rengarajan & Thorne, Alan, 2020. "Resilient planning strategies to support disruption-tolerant production operations," International Journal of Production Economics, Elsevier, vol. 226(C).
    13. Hosseini, Seyedmohsen & Morshedlou, Nazanin & Ivanov, Dmitry & Sarder, M.D. & Barker, Kash & Khaled, Abdullah Al, 2019. "Resilient supplier selection and optimal order allocation under disruption risks," International Journal of Production Economics, Elsevier, vol. 213(C), pages 124-137.
    14. Wang, Xun & Disney, Stephen M. & Ponte, Borja, 2023. "On the stationary stochastic response of an order-constrained inventory system," European Journal of Operational Research, Elsevier, vol. 304(2), pages 543-557.
    15. Stephanie Duchek, 2020. "Organizational resilience: a capability-based conceptualization," Business Research, Springer;German Academic Association for Business Research, vol. 13(1), pages 215-246, April.
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