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Article history: Received October 20, 2015 Received in revised format February 28, 2016 Accepted March 4 2016 Available online March 6 2016 Today, distributing high quality perishable foods is one of the challenging issues in food industry. This paper introduces a deterministic vehicle routing problem model with multiple middle depots and proposes the freshness of perishable foods as a new concept to obtain optimal delivery routes. For the proposed mathematical model, profit maximization of delivering the product, minimization of the transportation costs and vehicle traveling time, and maximum level of delivered product perishability (loss of freshness) are considered. GAMS software is implemented to show the authority of the model. Furthermore, genetic algorithm (GA) has been developed to solve the model for large size instances. Several problems are tested in order to compare the exact and the GA solutions. Growing Science Ltd. All rights reserved. 6 © 201

Vehicle routing problem with considering multi-middle depots for perishable food delivery