Derivation of closed-form expression for optimal base stock level considering partial backorder, deterministic demand, and stochastic supply disruption

In the presence of stochastic supply disruption, the optimal variables of an inventory policy must be determined appropriately. Considering a two-echelon system comprised of a supplier and a retailer, the objective of this research is to help the retailer derives the optimal base stock level that ac...

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Published in:Cogent engineering 2020-01, Vol.7 (1), p.1767833
Main Authors: Saithong, Chirakiat, Lekhavat, Saowanit
Format: Article
Language:English
Subjects:
Backorders
Closed form solutions
closed-form expression
Continuity (mathematics)
Disruption
Exact solutions
Inventory
optimal base stock level
partial backorder
periodic review base stock policy
Random variables
Suppliers
supply disruption
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description In the presence of stochastic supply disruption, the optimal variables of an inventory policy must be determined appropriately. Considering a two-echelon system comprised of a supplier and a retailer, the objective of this research is to help the retailer derives the optimal base stock level that achieves the minimum costs per unit of time regarding the stochastic unavailability of the supplier. The expression of the optimal base stock level is determined in closed-form in consideration of a continuous random variable of a disruption length together with a partial backorder of shortage inventory. A solution method which facilitates the retailer to derive the correct expression for the optimal base stock level is proposed. The applicability of the proposed solution method is illustrated through numerical experiments.
doi_str_mv 10.1080/23311916.2020.1767833
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source Taylor & Francis Open Access; Publicly Available Content Database
subjects Backorders
Closed form solutions
closed-form expression
Continuity (mathematics)
Disruption
Exact solutions
Inventory
optimal base stock level
partial backorder
periodic review base stock policy
Random variables
Suppliers
supply disruption
title Derivation of closed-form expression for optimal base stock level considering partial backorder, deterministic demand, and stochastic supply disruption
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