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14. The Sav-Us Rental Car Agency operates six lots in Nashville. It wants to have a specific number of cars available at each lot at the beginning of each day for local rental.

The agency seeks a model that can be quickly solved at the end of each day to determine how to redistribute the cars among the six lots with minimal total travel time. The times required to travel between the six lots are provided.

The agency desires the following number of cars at each lot by the end of the day, and also provides the number of available cars at each lot at the end of a particular day.

Determine the optimal reallocation of rental cars using a computer.

Answer :

To optimize car reallocation among the six lots for the Sav-Us Rental Car Agency in Nashville, a mathematical model such as the Traveling Salesman Problem or the Vehicle Routing Problem can be used to minimize total travel time.

The problem can be formulated as a variant of the Traveling Salesman Problem (TSP) or the Vehicle Routing Problem (VRP). In this case, we have six lots that need to be visited, and the objective is to minimize the total travel time required to redistribute the cars. To solve this problem, we can use optimization algorithms such as the branch and bound method, dynamic programming, or metaheuristic approaches like simulated annealing or genetic algorithms. These algorithms would generate the optimal route for reallocating the cars among the lots. The time required to travel between the six lots needs to be provided as input data. Once the algorithm solves the problem, it will provide the optimal order in which the lots should be visited to minimize the total travel time.

By formulating the problem as a variant of the Traveling Salesman Problem or the Vehicle Routing Problem and applying optimization algorithms, the Sav-Us Rental Car Agency can determine the optimal reallocation of cars among the six lots, minimizing the total travel time..

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