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

Mithun DebnathDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Kolkata 711103, IndiaSanat K. MazumderDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Kolkata 711103, IndiaMd Billal HossainDoctoral School of Economic and Regional Sciences, Hungarian University of Agriculture and Life Sciences, 2100 Godollo, HungaryArindam GaraiCsaba Bálint IllésHungarian National Bank—Research Center, John Von Neumann University, 6000 Kecskemét, Hungary
Mathematicsjournal2023en
ABI

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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.

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