In this paper, we propose to solve assignment problem using branch and bound (BB) method. The assignment problem is first transformed to travelling salesman problem (TSP) problem and then solved as a routing problem. This BB method can solve both minimization and maximization assignment problems....
Branch and bound algorithms for the multidimensional assign- ment problem. Optimization Methods and Software, 20(1):127-143, 2005.Pasiliao, E., Pardalos, P., Pitsoulis, L.: Branch and bound algorithms for the multidimensional assignment problem. Optim. Methods Softw. 20 (1), 127–143 (...
In this study, a different simple and successful branch and bound technique is constructed to find the best solution for the assignment problems with a maximization objective function without converting the objective function to minimization, as proposed by other assignment problem-solving strategies. ...
E. 1986. The multiperiod assignment problem: A multicommodity network flow model and specialized branch and bound algorithm. Eur. J. Oper. Res. 23(3):367-381.J. E. Aronson. The multiperiod assignment problem: A multicommod- ity network flow model and specialized branch and bound algorithm....
PingBack from http://cynthia.freemedianewsservice.info/branchandboundlinearassignmentproblem.htmlAnonymous March 15, 2009 According to the objective function of QAP - tr AXBX', where the X is the permutation matrix and X' is the transpose of permutation matrix and they seem no different so why...
Fu, Z., Eglese, R., Wright, M.: A branch-and-bound algorithm forfinding all optimal solutions of the assignment problem. Asia Pac. J. Oper. Res. 24(06), 831-839 (2007)Fu, Z.; Eglese, R.; Wright, M. A branch-and-bound algorithm for finding all optimal solutions of the ...
Using a B&B algorithm based on GLB, and high-performa...Pardalos, P. M., K. G. Ramakrishnan, M. G. C. Resende, Y. Li. 1997. Implementation of a variance reduction-based lower bound in a branch-and-bound algorithm for the quadratic assignment problem. SIAM J. Op...
(1994b). Simulated annealing and tabu search in the long run: a comparison on QAP tasks. Computer and Mathematical Applications, 28:1–8. Article MATH Google Scholar Bazaraa, M. and Kirca, O. (1983). A branch-andbound heuristic for solving the quadratic assignment problem. Naval Research...
Here given problem is balanced.Step-1: Find out the each row minimum element and subtract it from that row I II III IV V A 5 5=10-5 0 0=5-5 8 8=13-5 10 10=15-5 11 11=16-5 (-5) Minimum element of 1st row B 0 0=3-3 6 6=9-3 15 15=18-3 10 10=13-3 3 3=...
The application of the Reformulation Linearization Technique (RLT) to the Quadratic Assignment Problem (QAP) leads to a tight linear relaxation with huge dimensions that is hard to solve. Previous works found in the literature show that these relaxations combined with branch-and-bound algorithms ...