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The problem of finding the multiple locations for new facilities with respect to the multiple existing facilities in a given environment is known as Multi-facility Location Problem (MLP).Every location problem is normally bounded by some sort of area constraint. But the fact that much of the work carried out in the literature has almost neglected the area constraint which has motivated one to work on Multi-facility Location Problem taking the area constraint into consideration. The mathematical model of the multi-facility location problem with area constraint has been developed and the solution has been obtained using Kuhn-Tucker theory. This mathematical analysis and solution procedure is highly complex and time consuming.
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