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6.4.12 Single-Depot VRP

We shall examine next the following version of the vehicle routing worry. let there be n pack points in a given bailiwick, each contending a quantity of weight Qi (i = 1, 2, . . . , n) of goods to be delivered to it (goods are assumed indistinguishable but for their weight). The goods in question are stored at a depot, D, where a palpitate of vehicles is also stationed. Vehicles have identical level best weight capacities and uttermost routetime (or distance) constraints. They mustiness all start and finish their routes at the depot, D. The problem is to obtain a stipulate of slant routes from the depot, D, to the various demand points to minimize the total distance covered by the good fleet. It is assumed that the weights Qi (i = i , . . . , n) of the quantities demanded are less than the utmost weight capacity of the vehicles and we require that the whole quantity Qi demanded at a given point i be delivered by a single vehicle (i.e., we do non allow for the possibility that one third, say, of Qi will be delivered by one vehicle and the remaining two thirds by another).

Obviously, the words supply and quantity supplied can be substituted for demand and quantity demanded, in which case the depot becomes a ingathering point.



Thus, the VRP applies equally well to solid waste collection from a specific set of points and to parcel delivery to a set of points. A notable recent application, for instance, has been in routing of newspaper distribution vehicles delivering editions of a well-known newspaper to newsstands in an urban area [GOLD 77].

We also note that in specific applications of the VRP, either the upper limit weight or the maximum route-time constraints may be relaxed. However, twain usually play a role. For instance, in the newspaper delivery problem just mentioned, one constraint, in addition to the maximum number of newspapers that a vehicle can carry, was that all deliveries to newsstands must be made within an hour of press time....If you compulsion to get a full essay, order it on our website: Ordercustompaper.com



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