A Multi-Product Newsvendor Problem with Budget and Loss Constraints

被引：4
|
作者：
Zhou, Yanju [1 ]
Chen, Xiaohong [1 ]
Xu, Xuanhua [1 ]
Yu, Changjun [2 ]
机构：
[1] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China
[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia
来源：
INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING | 2015年 / 14卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Multi-product newsvendor problem (MPNP); solution space; nonlinear optimization; the loss-based marginal utility deleting method; approximate programming; SUPPLIER QUANTITY DISCOUNTS; NEWSBOY PROBLEM; EXTENSIONS; DEMAND; MODEL;
D O I：
10.1142/S0219622014500448
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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.
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页码：1093 / 1110
页数：18
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