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- W2886122904 abstract "• Deterministic lot sizing within the general EOQ with partial backorders framework is studied. • Financial constraints and tolerance to shortages are considered. • The unified profit is generally non convex and incorporates two separate branches. • Properties that lead to a closed form global optimal solution are provided. We consider the general EOQ (with partial backorders) paradigm to study factors related to the recent financial crisis. Upstream, there are financial constraints, which first limit the available capital per replenishment and second impose the prepayment (in full or partial) of the quantity ordered. Downstream, the concept of market tolerance is operationalized, permitting here backorders to occur at no-cost for a fixed time period (directly analogous to upstream payment credit). For the resulting system, we present an exact unified model of the total average profit/cost. Optimal profit/cost and respective decision variables (i.e. order cycle and shortage period) are subsequently obtained in closed form. Interestingly, by appropriately relaxing the solution of the unified system, the solution of several (some previously studied) EOQ-type models prevails. Finally, analytical and computational results reveal the impact that each factor (individually and jointly) has on system optimal solution and on the behavior of the respective optimizers." @default.
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- W2886122904 date "2019-01-01" @default.
- W2886122904 modified "2023-10-16" @default.
- W2886122904 title "A unified EOQ model with financial constraints and market tolerance" @default.
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- W2886122904 doi "https://doi.org/10.1016/j.apm.2018.08.002" @default.
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