مقایسهٔ روش‌ها

	مدل فروشنده روزنامه	مقدار اقتصادی سفارش (EOQ)	مدل‌های موجودی ایمنی و نقطه سفارش مجدد	بهینه‌سازی تصادفی
حوزه	پژوهش عملیات	پژوهش عملیات	پژوهش عملیات	بهینه‌سازی
خانواده	Regression model	Regression model	Regression model	Process / pipeline
سال پیدایش	1951	1913	1998	1951 (SGD); 2014 (Adam)
پدیدآور	Arrow, Harris & Marschak	Ford W. Harris	Silver, Pyke & Peterson	—
نوع	Stochastic single-period inventory optimization	Deterministic inventory optimization model	Stochastic inventory control model	Gradient-based iterative optimization
منبع بنیادین	Arrow, K. J., Harris, T., & Marschak, J. (1951). Optimal inventory policy. Econometrica, 19(3), 250–272.	Harris, F. W. (1913/1990). How many parts to make at once. Operations Research, 38(6), 947–950 (reprint).	Silver, E. A., Pyke, D. F., & Peterson, R. (1998). Inventory Management and Production Planning and Scheduling (3rd ed.). Wiley. ISBN: 978-0-471-11947-0	Robbins, H. & Monro, S. (1951). A Stochastic Approximation Method. Annals of Mathematical Statistics, 22(3), 400-407.
نام‌های دیگر	Newsboy Model, Single-Period Inventory Model, Christmas Tree Problem, Gazete Satıcısı Modeli	Wilson EOQ Model, Harris-Wilson Model, Optimal Lot Size Model, Ekonomik Sipariş Miktarı	Buffer Stock, Reserve Stock, Reorder-Point Model, Emniyet Stoğu	Stokastik Optimizasyon (SGD & Varyantları), stochastic gradient descent, SGD, Adam
مرتبط	3	3	3	3
خلاصه	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.	The Economic Order Quantity (EOQ) is a classic deterministic inventory model that identifies the order quantity minimizing the sum of annual ordering and holding costs. Introduced by Ford W. Harris in 1913 and later popularized by R. H. Wilson, EOQ assumes constant demand, fixed cost parameters, and instantaneous replenishment. It remains the foundational benchmark for inventory management in manufacturing, retail, and supply chain contexts where demand is relatively stable and costs are well-characterized.	Safety stock is an additional quantity of inventory held beyond expected demand during a replenishment lead time, designed to protect against stockouts caused by demand or supply uncertainty. Reorder-point models formalize this buffer by setting a trigger inventory level at which a new order is placed. Systematically developed within the stochastic inventory-control framework by Silver, Pyke, and Peterson (1998), the approach translates a desired customer-service level into a precise buffer quantity using the statistics of demand and lead-time variability.	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.