A Multi-Product Newsvendor Problem with Budget and Loss Constraints

Yanju Zhou (), Xiaohong Chen (), Xuanhua Xu () and Changjun Yu ()
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Yanju Zhou: School of Business, Central South University, Hunan, Changsha 410083, China
Xiaohong Chen: School of Business, Central South University, Hunan, Changsha 410083, China
Xuanhua Xu: School of Business, Central South University, Hunan, Changsha 410083, China
Changjun Yu: Department of Mathematics and Statistics, Curtin University, West Australia, Perth 6845, Australia

International Journal of Information Technology & Decision Making (IJITDM), 2015, vol. 14, issue 05, 1093-1110

Abstract: The solution space of a multi-product newsvendor problem (MPNP) with two constraints is analyzed and divided by four cases. One constraint is a loss constraint, which is nonlinear and has the integral symbol, while the other is a budget constraint. The threshold values of different solution regions are calculated and the corresponding solving methods for each case are provided, reducing the complexity of problem solving. The paper suggests the loss-based marginal utility deleting method solves non-negative constraint problems, and the linear approximate approach deals with nonlinear constraint optimal problems with an integral symbol in the model. Numerical examples are given, showing that the solving approach is more effective.

Keywords: Multi-product newsvendor problem (MPNP); solution space; nonlinear optimization; the loss-based marginal utility deleting method; approximate programming; 22E46; 53C35; 57S20 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219622014500448

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