IIE Transactions · 1985 · 61 citations · 13 references
Abstract Purchasing managers face a complex problem when determining order quantities for multiple items in the presence of quantity discounts and resource limitations. In this paper, the problem is formulated as a mathematical programming model. An efficient solution algorithm is developed utilizing the Lagrangian relaxation approach. Extensive computational experiments are performed and the results are presented.
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Validation of subgradient optimization
Michael Held, Philip Wolfe, Harlan Crowder · Mathematical Programming · 1974 · 1.4K citations