Analytical Optimization for the Warehouse Sizing Problem Under Class-Based Storage Policy

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Luis F. Cardona Leonardo Rivera Héctor Jairo Martínez


The aim of this paper study the impact of class-based storage policy based on the optimal configuration of U-flow single command warehouses using a on an ABC product classification. For that purpose, the authors propose a non linear optimization model to minimize the expected travel distance of the warehouse and use analytical methods to solve it. The most important contribution is to provide a mathematical proof that regardless of the storage policy (It does not matter the specifics of the turnover pattern of the products), the optimal warehouse has a width that is the double of its length, and the pick and deposit point should be located in the middle of the width of the warehouse. In addition, authors perform a sensitivity analysis that indicates that the optimal solution is robust, meaning that a certain deviation from the optimum layout does not impose a significant penalty on the expected travel distance of the warehouse. 


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CARDONA, Luis F.; RIVERA, Leonardo; MARTÍNEZ, Héctor Jairo. Analytical Optimization for the Warehouse Sizing Problem Under Class-Based Storage Policy. Ingeniería y Ciencia | ing.cienc., [S.l.], v. 12, n. 24, p. 221-248, nov. 2016. ISSN 2256-4314. Available at: <>. Date accessed: 20 sep. 2017. doi:
warehouse layout; warehouse design; storage policy; warehouse sizing problem; nonlinear programming


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