
This Article  
 
Share  
Bibliographic References  
Add to:  
Digg Furl Spurl Blink Simpy Del.icio.us Y!MyWeb  
Search  
 
ASCII Text  x  
Natalya Cohen, Jack Brassil, "A Parallel Pruning Technique for Highly Asymmetric Assignment Problems," IEEE Transactions on Parallel and Distributed Systems, vol. 11, no. 6, pp. 550558, June, 2000.  
BibTex  x  
@article{ 10.1109/71.862206, author = {Natalya Cohen and Jack Brassil}, title = {A Parallel Pruning Technique for Highly Asymmetric Assignment Problems}, journal ={IEEE Transactions on Parallel and Distributed Systems}, volume = {11}, number = {6}, issn = {10459219}, year = {2000}, pages = {550558}, doi = {http://doi.ieeecomputersociety.org/10.1109/71.862206}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Parallel and Distributed Systems TI  A Parallel Pruning Technique for Highly Asymmetric Assignment Problems IS  6 SN  10459219 SP550 EP558 EPD  550558 A1  Natalya Cohen, A1  Jack Brassil, PY  2000 KW  Computational optimization KW  linear network flow KW  mathematical programming KW  parallel algorithm. VL  11 JA  IEEE Transactions on Parallel and Distributed Systems ER   
Abstract—We introduce a new twophase technique to solve highly asymmetric assignment problems. In the first phase, the assignment problem is decomposed into subproblems which are solved in parallel. The first phase is used to exclude certain suboptimal assignments from consideration in the second phase. In the second phase, the optimal assignment is finalized. We show that the twophase algorithm can reduce the theoretical time bound for solving an
[1] M.M. Amini, “Vectorization of an Auction Algorithm for Linear Cost Assignment Problem,” Computers&Industrial Eng., vol. 26, no. 1, pp. 141–149, Jan. 1994.
[2] D.P. Bertsekas, “The Auction Algorithm for Assignment and Other Network Flow Problems: A Tutorial,” Interfaces, vol. 20, no. 4, pp. 133–149, JulyAug. 1990.
[3] D.P. Bertsekas, “Auction Algorithm for Network Flow Problems: A Tutorial Introduction,” Computational Optimization and Applications, vol. 1, pp. 277–297, 1992.
[4] D.P. Bertsekas, Linear Network Optimization: Algorithms and Codes. Cambridge, Mass.: MIT Press, 1991.
[5] D.P. Bertsekas and D.A. Castañon, “A Forward/Reverse Auction Algorithm for Asymmetric Assignment Problems,” Computational Optimization and Applications, vol. 1, pp. 277–297, 1992.
[6] D.P. Bertsekas and D.A. Castañon, “Parallel Synchronous and Asynchronous Implementations of the Auction Algorithm,” Parallel Computing, vol. 7,no. 6–7, pp. 707–732, Sept. 1991.
[7] D.P. Bertsekas and J. Eckstein, “Dual Coordinate Step Methods for Linear Network Flow Problems,” Math. Programming, series B, vol. 42, no. 2, pp. 203–243, 1988.
[8] D.P. Bertsekas and J.N. Tsitsiklis, Parallel and Distributed Computation.Englewood Cliffs, N.J.: Prentice Hall International, 1989.
[9] L.L. Lasdon, Optimization Theory for Large Systems. New York: MacMillan Co., 1970.
[10] C.H. Papadimitriu and K. Steiglitz, Combinatorial Optimization: Algorithms and Complexity. Prentice Hall, 1987.
[11] J.B. Orlin and R.K. Ahuja, “New Scaling Algorithms for the Assignment and Minimum Mean Cycle Algorithms,” Math. Programming, vol. 54, pp. 41–56, 1992.
[12] B.L. Schwartz, A Computational, “Analysis of the Auction Algorithm,” European J. Operational Research, vol. 74, no. 1, pp. 161–169, Apr. 1994.
[13] J.M. Wein and S. Zenios, “Massively Parallel Auction Algorithms for the Assignment Problem,” Proc. Third Symp. Frontiers Massively Parallel Computation, J. JaJa, ed., IEEE CS Press, 1990.
[14] H.A. Zaki, “A Comparison of Two Algorithms for the Assignment Problem,” Computational Optimization and Applications, vol. 4, no. 1, pp. 23–45, 1995.