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The use of differential equations for the determination of the optimal time for the trasformation of vehicles

The objective of this work was to analyse the economic feasibility of the transformation of forest transport vehicles. Two situations were evaluated; in one the cart was used and removed after its useful lifetime, in the other one the cart is transformed in to truck and, finally, in to a two-wheeled cart. The differential equation was used to define the optimal time of the transformations. The results obtained showed that in the model without transformation an optimal time nine years used was defined, presenting an Equivalent Annual Value of R$4,084.06. In the model with transformation (cart/truck/two-wheeled cart), an Equivalent Annual Value of R$10,555.04 was obtained, indicating the viability of the transformation system. Based on data of costs and incomes used the transformation (cart/truck/two-wheeled cart) showed to be best alternative. It follows that the models developed showed to be suitable in supporting the decision making related to the replacement of transport vehicles.

Continuo functions; equipment replacement; transportation vehicle


Sociedade de Investigações Florestais Universidade Federal de Viçosa, CEP: 36570-900 - Viçosa - Minas Gerais - Brazil, Tel: (55 31) 3612-3959 - Viçosa - MG - Brazil
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