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

  • Luis F. Cardona University of Louisville
  • Leonardo Rivera Universidad del Valle
  • Héctor Jairo Martínez Universidad del Valle


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. 

Author Biographies

Luis F. Cardona, University of Louisville

PhD student Logistics and Distribution Institute Industrial Engineering 


Leonardo Rivera, Universidad del Valle

Assistant Professor

School of Industrial Engineering

Faculty of Engineering

Héctor Jairo Martínez, Universidad del Valle

Full time Professor 

Department of Mathematics 

Faculty of Natural and Exact Sciences


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How to Cite
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: 16 aug. 2017. doi:


warehouse layout; warehouse design; storage policy; warehouse sizing problem; nonlinear programming