1. A combined strategy for solving quadratic assignment problem
- Author
-
Faiz Ahyaningsih
- Subjects
Linear bottleneck assignment problem ,Mathematical optimization ,Flow (mathematics) ,Quadratic assignment problem ,Computer science ,Order (business) ,Point (geometry) ,Quadratic programming ,Generalized assignment problem ,Weapon target assignment problem - Abstract
The quadratic assignment problem is a combinatorial problem of deciding the placement of facilities in specified locations in such a way as to minimize a nonconvex objective function expressed in terms of flow between facilities, and distance between location. Due to the non-convexity nature of the problem, therefore to get a ‘good’ starting point is necessary in order to obtain a better optimal solution. In this paper we propose a combined strategy (random point strategy to get initial starting point and then use forward exchange strategy and backward exchange strategy to get ‘optimal’ solution). As a computational experience we’ve solved the problem of Esc 16b, Esc 16c and Esc 16h from QAPLIB. Finally, we present a comparative study between Combined Strategy and Data –Guided Lexisearch Algorithm. The computational study shows the effectiveness of our proposed combined strategy.The quadratic assignment problem is a combinatorial problem of deciding the placement of facilities in specified locations in such a way as to minimize a nonconvex objective function expressed in terms of flow between facilities, and distance between location. Due to the non-convexity nature of the problem, therefore to get a ‘good’ starting point is necessary in order to obtain a better optimal solution. In this paper we propose a combined strategy (random point strategy to get initial starting point and then use forward exchange strategy and backward exchange strategy to get ‘optimal’ solution). As a computational experience we’ve solved the problem of Esc 16b, Esc 16c and Esc 16h from QAPLIB. Finally, we present a comparative study between Combined Strategy and Data –Guided Lexisearch Algorithm. The computational study shows the effectiveness of our proposed combined strategy.
- Published
- 2017