两个约束条件下允许外购的多产品报童问题
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引用本文:朱赛花,戴琳,胡朝明.两个约束条件下允许外购的多产品报童问题[J].经济数学,2013,(2):31-35
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作者单位
朱赛花,戴琳,胡朝明 (中南大学 数学与统计学院, 湖南 长沙410083) 
中文摘要:研究在资源和预算约束条件下允许外购的多产品报童问题. 为解决因资源有限而引起的缺货问题, 允许外购,外购的最大可得到量是给定的.建立了在非零延迟时间外购情况下以求总体花费最小值为目标函数的的优化模型, 分析了模型的结构特征, 结合最优化理论, 利用可行方向方法对模型进行了求解. 数值结果表明了模型的合理性和算法的有效性.
中文关键词:多产品报童问题  可行方向方法  资源约束  预算约束  非零延迟时间外购
 
Multi-Product Newsboy Problem with Two Constraints and Nonzero Lead Time Outsourcing
Abstract:A multi-product newsboy problem with resource constraint and budget constraint was investigated, where production allows for being outsourced to deal with possible shortage of limited capacity, while the maximal amounts of outsourcing products available are given and the strategy of nonzero lead time outsourcing is involved. A cost-minimization model was constructed to formulate such a problem, and the structural properties of the model were analyzed. On the basis of the theory of optimization, the feasible direction methods were applied to solve the problem, and the numerical results show the validity of the model and the efficiency of the solution method.
keywords:multi-product newsboy problem  feasible direction methods  resource constraint  budget constraint  nonzero lead time outsourcing
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