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Heterogeneous Vehicle routing problem by Considering Multi-Path between Customer and Delivery Time Windows with Genetic Algorithm

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Abstract (2. Language): 
In this paper vehicle routing problem with heterogeneous vehicle regarding the delivery time windows is examined. In the present case, each customer has a hard time window and a soft time window. Delivery outside the hardware time window is not possible. Delivery outside the soft time window earliness or delay costs imposed on the model. The mathematical model of the problem, innovative genetic algorithm for a given problem is developed. The results obtained from the sample solution by genetic algorithms, the exact solution of the model in the software Lingo is obtained and suggests that genetic provided acceptable performance and low error gives an answer in a reasonable time.
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