Jointly constrained order quantities with all-units discounts

Paul A. Rubin · W.C. Benton

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Supply Chain and Inventory Management Sustainable Supply Chain Management Optimization and Mathematical Programming

Abstract

In this article we investigate situations where the buyer is offered discounted price schedules from alternative vendors. Given various discount schedules, the buyer must make the best buying decision under a variety of constraints, such as limited storage space and restricted inventory budgets. Solutions to this problem can be utilized by the buyer to improve profitability. EOQ models for multiple products with all-units discounts are readily solvable in the absence of constraints spanning the products. However, constrained discounted EOQ models lack convenient mathematical properties. Relaxing the product-spanning constraints produces a dual problem that is separable, but lack of convexity and smoothness opens the door for duality gaps. In this research we present a set of algorithms that collectively find the optimal order vector. Finally, we present numerical examples using actual data. to illustrate the application of the algorithms. © 1993 John Wiley & Sons, Inc.

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1964Analysis of Inventory Systems.1984A Quantity Discount Pricing Model to Increase Vendor Profits 1986A Generalized Quantity Discount Pricing Model to Increase Supplier's Profits 1958Production planning and inventory control 1984An Approach for Developing an Optimal Discount Pricing Policy 1985Improving Profitability with Quantity Discounts under Fixed Demand 1985Production Planning and Inventory Control 1991Quantity discount decisions under conditions of multiple items, multiple suppliers and resource limitations

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2005Competition Among Sellers in Online Exchanges 2000Fixed cycle ordering policies for capacitated multiple item inventory systems with quantity discounts 2003Offsetting inventory cycles of items sharing storage 2016Shared resource capacity expansion decisions for multiple products with quantity discounts 2008A Practical Model for Ordering in Multi-Product Multi-Constraint Inventory Systems with All-Units Quantity Discounts

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