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Newsvendor モデル×確率的最適化×
分野オペレーションズ・リサーチ最適化
系統Regression modelProcess / pipeline
提唱年19511951 (SGD); 2014 (Adam)
提唱者Arrow, Harris & Marschak
種類Stochastic single-period inventory optimizationGradient-based iterative optimization
原典Arrow, K. J., Harris, T., & Marschak, J. (1951). Optimal inventory policy. Econometrica, 19(3), 250–272. DOI ↗Robbins, H. & Monro, S. (1951). A Stochastic Approximation Method. Annals of Mathematical Statistics, 22(3), 400-407. DOI ↗
別名Newsboy Model, Single-Period Inventory Model, Christmas Tree Problem, Gazete Satıcısı ModeliStokastik Optimizasyon (SGD & Varyantları), stochastic gradient descent, SGD, Adam
関連33
概要The Newsvendor Model is a single-period stochastic inventory optimization framework that determines the profit-maximizing order quantity when demand is uncertain and unsold units cannot be carried forward. Formally introduced by Arrow, Harris, and Marschak (1951) in their foundational work on optimal inventory policy, the model balances the cost of ordering too much (overage) against the cost of ordering too little (underage) to yield a closed-form optimality condition known as the critical ratio.Stochastic optimization is a family of iterative methods that minimize an objective function by computing gradients on randomly sampled subsets of data — mini-batches — rather than on the entire dataset at once. Pioneered by Robbins and Monro in 1951 as stochastic approximation, the approach became the standard engine for training large-scale machine-learning models through variants such as SGD with momentum, AdaGrad, RMSProp, and Adam.
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ScholarGate手法を比較: Newsvendor Model · Stochastic Optimization. 2026-06-18に以下より取得 https://scholargate.app/ja/compare