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This problem was realized while managing the route operations of a company transporting.
Gioielleria via san luca genova. Need help for linear programming of vehicle routing problem. Linear programming introduction a key element of many distribution systems is the routing and scheduling of vehicles through a set of nodes requiring service. In vehicle routing problem vrp a vehicle will serve a set of nodes such that the total travelling cost is minimized.
It first appeared in a paper by george dantzig and john ramser in 1959 in which the first. In this paper an integer linear programming formulation of the gvrp with on 2. So the model is as follows.
The generalized vehicle routing problem gvrp is an extension of the vehicle routing problem vrp dened on a graph in which the nodes customers vertices are grouped into a given number of mutually exclusive and exhaustive clusters nodesets. The parameter dij is the distance between nodes i and j. It generalises the well known travelling salesman problem tsp.
The vehicle routing problem vrp is a combinatorial optimization and integer programming problem which asks what is the optimal set of routes for a fleet of vehicles to traverse in order to deliver to a given set of customers.
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