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An integrated stochastic model and algorithm for multi-product newsvendor problems

International Journal of Modeling, Simulation, and Scientific Computing 2020年第4期11卷 53-77页

作者： Zhaoman Wan Saihua Zhu Zhong Wan School of Mathematics and Statistics Central South University ChangshaP.R.China

In this paper,a multi-product newsvendor problem is formulated as a random nonlinear integrated optimization model by taking into consideration the selling price,the producing and outsourcing quantities,and the nonlinear budget *** from the existing models,the demands of products depend on the prices,as well as being timevarying due to random market *** addition,outsourcing strategy is adopted to deal with possible shortage caused by the limited ***,the constructed model is involved with joint optimization of the producing and outsourcing quantities,and the selling prices of all the *** this model with continuous random demands,we first transform it into a nonlinear programming problem by expectation ***,an efficient algorithm,called the feasible-direction-based spectral conjugate gradient algorithm,is developed to find a robust solution of the *** case study and sensitivity analysis,some interesting conclusions are drawn as follows:(a)Budget is a critical constraint for optimizing the decision-making of the retailer,and there exist different threshold values of the budget for the substitute and complementarity scenarios.(b)The price sensitivity matrix seriously affects the maximal expected profit mainly through affecting the optimal outsourcing quantity.

关键词： multi-product newsvendor problem efficient algorithm stochastic program spectral conjugate gradient method.

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