메뉴 건너뛰기




Volumn 38, Issue 4, 1991, Pages 985-1004

A Parallel Shortest Augmenting Path Algorithm for the Assignment Problem

Author keywords

assignment; matching; shortest augmenting paths; traveling salesman problem

Indexed keywords


EID: 0000620444     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/115234.115349     Document Type: Article
Times cited : (41)

References (28)
  • 1
    • 84976750479 scopus 로고
    • Branch and bound methods. In E. L. Lawler, et al., The Traveling Salesman Problem: A Guided Tour to Combinatorial Optimization. Wiley, New York
    • BALAS, E. AND TOTH, P. Branch and bound methods. In E. L. Lawler, et al., The Traveling Salesman Problem: A Guided Tour to Combinatorial Optimization. Wiley, New York, 1985.
    • (1985)
    • BALAS, E.1    TOTH, P.2
  • 2
    • 0022676208 scopus 로고
    • A competitive (dual) simplex method for the assignment problem
    • BALINSKI, M. A competitive (dual) simplex method for the assignment problem. Math. Prog. 34 (1986), 125-141.
    • (1986) Math. Prog. 34 , pp. 125-141
    • BALINSKI, M.1
  • 3
    • 0002224079 scopus 로고
    • The alternating basis algorithm for assignment problems
    • BARR, R. S., GLOVER, F., AND KLINGMAN, D. The alternating basis algorithm for assignment problems. Math. Prog. 13 (1977), 1-13.
    • (1977) Math. Prog. 13 , pp. 1-13
    • BARR, R.S.1    GLOVER, F.2    KLINGMAN, D.3
  • 4
    • 34250244023 scopus 로고
    • A new algorithm for the assignment problem
    • BERTSEKAS, D. P. A new algorithm for the assignment problem. Math. Prog. 21 (1981), 152-171.
    • (1981) Math. Prog. 21 , pp. 152-171
    • BERTSEKAS, D.P.1
  • 5
    • 77950044152 scopus 로고
    • Parallel synchronous and asynchronous implementations of the auction algorithm
    • MIT, Cambridge, Mass
    • BERTSEKAS, D. P., AND CASTANON, D. A. Parallel synchronous and asynchronous implementations of the auction algorithm. Electrical Engineering and Computer Science. MIT, Cambridge, Mass., 1989.
    • (1989) Electrical Engineering and Computer Science.
    • BERTSEKAS, D.P.1    CASTANON, D.A.2
  • 6
    • 84976799783 scopus 로고
    • Assignment and Matching Problems: Solutions Methods with FOTRAN Programs. Springer, Berlin
    • BURKARD, R. E. AND DERIGS, U. Assignment and Matching Problems: Solutions Methods with FOTRAN Programs. Springer, Berlin, 1980.
    • (1980)
    • BURKARD, R.E.1    DERIGS, U.2
  • 7
    • 0020934738 scopus 로고
    • Algorithm for the solution of the assignment problem for sparse matrices
    • CARPANETO, G., AND TOTH, P. Algorithm for the solution of the assignment problem for sparse matrices. Comp. 31 (1983), 83-94.
    • (1983) Comp. 31 , pp. 83-94
    • CARPANETO, G.1    TOTH, P.2
  • 8
    • 0022153170 scopus 로고
    • Primal-dual algorithms for the assignment problem
    • CARPANETO, G., AND TOTH, P. Primal-dual algorithms for the assignment problem. Disc. App. Math., 18 (1987), 137-153.
    • (1987) Disc. App. Math. , vol.18 , pp. 137-153
    • CARPANETO, G.1    TOTH, P.2
  • 9
    • 9644260215 scopus 로고
    • The shortest augmenting path method for solving assignment problems-motivation and computational experience
    • DERIGS, U. The shortest augmenting path method for solving assignment problems-motivation and computational experience. Ann. Op. Res. 4 (1985), 57-102.
    • (1985) Ann. Op. Res. 4 , pp. 57-102
    • DERIGS, U.1
  • 10
    • 34147120474 scopus 로고
    • A note on two problems in connection with graphs
    • DIJKSTRA, E. W. A note on two problems in connection with graphs. Numer. Math. 1 (1959), 269-271.
    • (1959) Numer. Math. 1 , pp. 269-271
    • DIJKSTRA, E.W.1
  • 11
    • 0015330635 scopus 로고
    • Theoretical improvements in algorithmic efficiency of network flow problems
    • EDMONDS, J. AND KARP, R. M. Theoretical improvements in algorithmic efficiency of network flow problems, J. ACM 19 (1972), 248-261.
    • (1972) J. ACM , vol.19 , pp. 248-261
    • EDMONDS, J.1    KARP, R.M.2
  • 13
    • 0020705129 scopus 로고
    • The NYU ultracomputer-designing an MIMD shared-memory parallel computer
    • GOTTLIEB, A. The NYU ultracomputer-designing an MIMD shared-memory parallel computer. IEEE Trans. Comp. C-32 (1983), 175-189.
    • (1983) IEEE Trans. Comp. C-32 , pp. 175-189
    • GOTTLIEB, A.1
  • 14
    • 84976677849 scopus 로고
    • Bipartite matching: A computational investigation of parallel algorithms. Department of Operations Research, Southern Methodist University, Dallas, Tex
    • HATAY, L. Bipartite matching: A computational investigation of parallel algorithms. Department of Operations Research, Southern Methodist University, Dallas, Tex., 1987.
    • (1987)
    • HATAY, L.1
  • 15
    • 0023173192 scopus 로고
    • Shortest augmenting path algorithm for dense and sparse linear assignment problems
    • JONKERS, R., VOLGENANT, T. Shortest augmenting path algorithm for dense and sparse linear assignment problems. Comp. 38 (1987), 325-390.
    • (1987) Comp. 38 , pp. 325-390
    • JONKERS, R.1    VOLGENANT, T.2
  • 16
    • 84976757753 scopus 로고
    • Performance characteristics of the Jacobi and Gauss-Seidel versions of the auction algorithm on the Alliant FX18. Report OR-89-008, Mechanical and Industrial Engineering. University of Illinois at Urbana-Champaign, Urbana, Ill
    • KEMPA, D., KENNINGTON, J., AND ZAKI, H. Performance characteristics of the Jacobi and Gauss-Seidel versions of the auction algorithm on the Alliant FX18. Report OR-89-008, Mechanical and Industrial Engineering. University of Illinois at Urbana-Champaign, Urbana, Ill., 1989.
    • (1989)
    • KEMPA, D.1    KENNINGTON, J.2    ZAKI, H.3
  • 17
    • 84976720986 scopus 로고
    • Solving dense assignment problems on a shared memory multiprocessor, Technical Report 88-OR-16, Department of Operations Research, Southern Methodist University, Dallas, Tex., October
    • KENNINGTON, J. AND WANG, Z. Solving dense assignment problems on a shared memory multiprocessor, Technical Report 88-OR-16, Department of Operations Research, Southern Methodist University, Dallas, Tex., October 1988.
    • (1988)
    • KENNINGTON, J.1    WANG, Z.2
  • 18
    • 0042475365 scopus 로고
    • Parallel computing in combinatorial optimization
    • KINDERVATER, G. A. P., AND LENSTRA, J. K. Parallel computing in combinatorial optimization, Ann. Op. Res. 14 (1988).
    • (1988) Ann. Op. Res. , vol.14
    • KINDERVATER, G.A.P.1    LENSTRA, J.K.2
  • 19
    • 0002719797 scopus 로고
    • The Hungarian method for the assignment problem
    • KUHN, N. W. The Hungarian method for the assignment problem. Nav. Res. Log. Quart. 2 (1955), 83-97.
    • (1955) Nav. Res. Log. Quart. 2 , pp. 83-97
    • KUHN, N.W.1
  • 22
    • 0020717996 scopus 로고
    • Implementation and testing of a primal-dual algorithm for the assignment problem
    • MCGINNES, L. F. Implementation and testing of a primal-dual algorithm for the assignment problem. Op. Res. 31 (1983), 277-291.
    • (1983) Op. Res. 31 , pp. 277-291
    • MCGINNES, L.F.1
  • 23
    • 0024682342 scopus 로고
    • Results from a parallel branch and bound algorithm for solving large asymmetric traveling salesman problems
    • MILLER, D. L. AND PEKNY, J. F. Results from a parallel branch and bound algorithm for solving large asymmetric traveling salesman problems. Op. Res. Lett. 8 (1989), 129-135.
    • (1989) Op. Res. Lett. 8 , pp. 129-135
    • MILLER, D.L.1    PEKNY, J.F.2
  • 24
    • 84976854413 scopus 로고
    • Solution of large dense transportation problems using a parallel primal method, MSRR No. 546. Carnegie Mellon University, Pittsburgh, Pa
    • MILLER, D. L., PEKNY, J. F., AND THOMPSON, G. L. Solution of large dense transportation problems using a parallel primal method, MSRR No. 546. Carnegie Mellon University, Pittsburgh, Pa., 1988.
    • (1988)
    • MILLER, D.L.1    PEKNY, J.F.2    THOMPSON, G.L.3
  • 25
    • 84976862354 scopus 로고
    • A parallel branch and bound algorithm for solving large asymmetric traveling salesman problems. Report 05-27-88, Engineering Design Research Center, Carnegie Mellon University, Pittsburgh, Pa
    • PEKNY, J. F., AND MILLER, D. L. A parallel branch and bound algorithm for solving large asymmetric traveling salesman problems. Report 05-27-88, Engineering Design Research Center, Carnegie Mellon University, Pittsburgh, Pa., 1988.
    • (1988)
    • PEKNY, J.F.1    MILLER, D.L.2
  • 26
    • 0022914008 scopus 로고
    • Contention is no obstacle to shared-memory multiprocessing
    • RETTBERG, R. AND THOMAS, R. Contention is no obstacle to shared-memory multiprocessing. Commun. ACM 29 (1986), 1202-1212
    • (1986) Commun. ACM 29 , pp. 1202-1212
    • RETTBERG, R.1    THOMAS, R.2
  • 28
    • 0015202957 scopus 로고
    • On some techniques useful for the solution of transportation network problems
    • TOMIZAWA, N. On some techniques useful for the solution of transportation network problems. Networks 1 (1971), 173-194.
    • (1971) Networks 1 , pp. 173-194
    • TOMIZAWA, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.