Intellectual Technologies on Transport Intellectual Technologies on Transport Интеллектуальные технологии на транспорте 2413-2527 118671 10.20295/2413-2527- 2026-246-100-108 МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ И СИСТЕМНЫЙ АНАЛИЗ MATHEMATICAL MODELLING AND SYSTEM ANALYSIS МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ И СИСТЕМНЫЙ АНАЛИЗ Hierarchical Shelf Space Allocation Model Characteristics in Stores and Warehouses Особенности модели выкладки товаров с иерархической категоризацией на полочном пространстве магазинов и складов Черняховская Екатерина Сергеевна Cherniakhovskaia Ekaterina Sergeevna kateryna.czerniachowska@ue.wroc.pl Вроцлавский университет экономики и бизнеса Вроцлав Польша Wroclaw University of Economics and Business Wroclaw Poland 24 06 2026 24 06 2026 2 100 108 30 03 2026 25 05 2026 https://itt-pgups.ru/en/nauka/article/118671/view

Эффективная складская логистика является основополагающим фактором в поддержании ассортимента товаров на полках магазина и склада. Надежная система управления складом позволяет своевременно пополнять запасы и избегать дефицита популярных товаров. Кроме того, оптимизация складских процессов способствует снижению затрат и повышению общей эффективности розничной торговли. Цель: построение и анализ математической модели выкладки товаров с иерархической категоризацией товаров на складском стеллаже и на стеллаже розничного магазина. Максимизация прибыли со стеллажа представлена как целевая функция. Результаты: сформулированы следующие категории ограничений: ограничения на полку, ограничения на расположение на нескольких полках, ограничения на товар, ограничения на положение, ограничения на категории и подкатегории. Приводятся особенности, достоинства и недостатки иерархической категоризации товаров. Делается сравнение иерархической категоризации товаров на складах и в обычных магазинах. Практическая значимость: задача оптимального размещения товаров на полках имеет важное значение для складской логистики и для розничных продаж, так как помогает улучшить процесс комплектования, доставки заказов, а также видимость товаров на полках. Понимание этих аспектов позволяет складам и дистрибьюторам эффективно управлять запасами, повышать прибыль и снижать затраты, обеспечивая высокую скорость и точность выполнения заказов, увеличивать частоту покупок.

Efficient warehouse logistics is fundamental to maintaining a well-stocked product range on store shelves and in warehouses. A reliable warehouse management system enables timely replenishment and avoids stockouts of popular products. Furthermore, optimization of warehouse processes helps reduce costs and improve overall retail efficiency. Purpose: to present and analyze a mathematical model for product display with hierarchical categorization on warehouse shelves and retail store shelves. Maximizing shelf profit is the objective function. Results: the following constraint categories are formulated: shelf constraints, multi-shelf placement constraints, product constraints, position constraints, and category and subcategory constraints. The characteristics, advantages and disadvantages of hierarchical categorization of products are considered. A comparison is made between hierarchical product categorization in warehouses and traditional stores. Practical significance: optimal shelf placement is crucial for warehouse logistics and retail sales, as it helps improve order picking, delivery, and shelf visibility. Understanding these aspects allows warehouses and distributors to effectively manage inventory, increase profits, and reduce costs, ensuring high speed and accuracy of order fulfillment and increasing purchase frequency

 математическое моделирование оптимизация распределение полочного пространства складская логистика категоризация товаров mathematical modelling optimization shelf space allocation warehouse logistics product categorization

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