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- W908652386 abstract "Infinitesimal Perturbation Analysis for the Capacitated Finite-Horizon Multi-Period Multiproduct Newsvendor Problem Brigham B. Wilson Department of Computer Science, BYU Master of Science An optimal ordering scheme for the capacitated, finite-horizon, multi-period, multiproduct newsvendor problem was proposed by Shaoxiang [2006] using a hedging point policy. This solution requires the calculation of a central curve that divides the different ordering regions and a vector that defines the target inventory levels. The central curve is a nonlinear curve that determines the optimal order quantities as a function of the initial inventory levels. In this paper we propose a method for calculating this curve and vector using spline functions, infinitesimal perturbation analysis (IPA), and convex optimization. Using IPA the derivatives of the cost with respect to the variables that determine the spline function are efficiently calculated. A convex optimization algorithm is used to optimize the spline function, resulting in a optimal policy. We present the mathematical derivations and simulation results validating this solution." @default.
- W908652386 created "2016-06-24" @default.
- W908652386 creator A5080927502 @default.
- W908652386 date "2012-01-01" @default.
- W908652386 modified "2023-09-26" @default.
- W908652386 title "Infinitesimal Perturbation Analysis for the Capacitated Finite-Horizon Multi-Period Multiproduct Newsvendor Problem" @default.
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