Economic Order Quantity Analysis

806 Words2 Pages

This paper investigates various Economic Order Quantity (EOQ) models and reviews the potential application and related benefits. Two EOQ model were the primary focus: tiered manufacturing prices, and a fixed/variable manufacturing price structure. Both cases define a Total Cost Function that serves as the basis for optimization. Additionally, several probability distributions were estimated for the EOQ which can provide percentiles to be used as Request for Quote tiers.
Introduction:
The optimal management of procurement activity requires the minimization of not only direct and obvious costs such as unit costs but also related but less tangible costs. The primary costs related to procurement are composed of: unit cost, inventory holding cost (storage and handling costs), finance costs (corporate capital charge) and order cost (quote and PO placement cost). This procurement optimization process and the resulting quantity are commonly referred to as “Economic Order Quantity” analysis. The primary focus of this paper is to outline potential approaches to optimizing AAR’s procurement processes through Economic Order Quantity analysis.

Parameters:
Unit Cost:

C_i=Unit Cost for P.O.tier i q=Purchase Order Quantity q∈├ [θ_(i,1) ┤,θ_(i,2) )

Capital Charge:
The capital charge is calculated by multiplying total capital expenditures by the capital charge rate. The capital charge rate is treated as a simple interest calculation that is charged monthly, at a prorated factor, to each business unit. DSL’s gross annual capital charge is 10%.
AAR is assessed a capital charge by corporate each month based on total capital expenditures. The annual fee of 10% is prorated and assessed on a monthly basis (10%/12 = 0.83%). For the purpose of this anal...

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...n a mix of fixed and variable costs as well as other influences such as learning curves, the manufacturer will experience reduced incremental costs for each additional unit purchased above each tier’s minimum purchase quantity. The main goal of the below methodology is to capture the inefficiencies of minimum purchase quantities and purchase based on true costs.

Estimating Fixed and Variable Costs
Once provided the tiered pricing from the supplier, their fixed and variable costs can be estimated. A linear regression of the extended costs (unit cost * minimum purchase quantity) for each tier against the minimum purchase quantity will provide an estimate of the supplier’s fixed (Y intercept) and variable (slope) costs. This information can then be used to negotiate with the supplier for updated pricing for new tiers based on updated EOQ analysis.
C_i=C_V+C_F q_i^(-1)

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