DETERMINING INITIAL ASSIGNMENT FOR SOLVING QUADRATIC ASSIGNMENT PROBLEMS
Elly Rosmaini
Abstract
Elly Rosmaini
Abstract
The Quadratic Assignment Problem is a combinatorial problem of deciding the placement of facilities in specified locatians in such a way that will to minimize an objective function expressed in terms of distance each location and flows each facilities. First they a simple heuristic approach is used to obtain an initial assignment point.. Hetristic Tabu search method is the implemented in other to get another assignment point, which in tum will be used as a starting point for Nonlinier Programing approach. The continuous result of nonlinier programing problem are the prosesed using another heuristic method to obtain an integer feasible solution to the quadratic assignment problem. The non convex behavior of the problem suggests that a good starting is necessary in order to obtain global solution. The procedure is then implemented on Backboard Wiring problem with dimension 20 x 20. Keywords; Quadratic Assignment problems; Tabu Search.
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The Quadratic Assignment Problem is a combinatorial problem of deciding the placement of facilities in specified locatians in such a way that will to minimize an objective function expressed in terms of distance each location and flows each facilities. First they a simple heuristic approach is used to obtain an initial assignment point.. Hetristic Tabu search method is the implemented in other to get another assignment point, which in tum will be used as a starting point for Nonlinier Programing approach. The continuous result of nonlinier programing problem are the prosesed using another heuristic method to obtain an integer feasible solution to the quadratic assignment problem. The non convex behavior of the problem suggests that a good starting is necessary in order to obtain global solution. The procedure is then implemented on Backboard Wiring problem with dimension 20 x 20. Keywords; Quadratic Assignment problems; Tabu Search.
Key concepts: Quadratic assignment problem, Weapon target assignment problem, Tabu search, Generalized assignment problem, Mathematical optimization, Assignment problem, Linear bottleneck assignment problem, Heuristic