The multi-product newsboy problem with supplier quantity discounts and a budget constraint

This paper considers the multi-product newsboy problem with both supplier quantity discounts and a budget constraint, while each feature has been addressed separately in the literature. Different from most previous nonlinear optimization models on the topic, the problem is formulated as a mixed inte...

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Veröffentlicht in:European journal of operational research 2010-10, Vol.206 (2), p.350-360
1. Verfasser: Zhang, Guoqing
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description This paper considers the multi-product newsboy problem with both supplier quantity discounts and a budget constraint, while each feature has been addressed separately in the literature. Different from most previous nonlinear optimization models on the topic, the problem is formulated as a mixed integer nonlinear programming model due to price discounts. A Lagrangian relaxation approach is presented to solve the problem. Computational results on both small and large-scale test instances indicate that the proposed algorithm is extremely effective for the problem. An extension to multiple constraints and preliminary computational results are also reported.
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identifier ISSN: 0377-2217
ispartof European journal of operational research, 2010-10, Vol.206 (2), p.350-360
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1872-6860
language eng
recordid cdi_proquest_journals_204197207
source RePEc; Elsevier ScienceDirect Journals
subjects Applied sciences
Budget constraint
Budgets
Discounts
Exact sciences and technology
Inventory
Inventory management
Inventory Newsboy model Quantity discount Budget constraint Lagrangian relaxation Mixed integer nonlinear programming
Lagrange multiplier
Lagrangian relaxation
Mathematical programming
Mixed integer nonlinear programming
Newsboy model
Nonlinear programming
Operational research and scientific management
Operational research. Management science
Optimization algorithms
Quantity discount
Studies
title The multi-product newsboy problem with supplier quantity discounts and a budget constraint
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