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Volumn 95, Issue 3, 1997, Pages 501-530

Efficient parallel algorithms for the minimum cost flow problem

Author keywords

Auction algorithms; Minimum cost flow problems; Network optimization; Parallel asynchronous algorithms; Shared memory multiprocessors

Indexed keywords

COMBINATORIAL OPTIMIZATION; COST ACCOUNTING; MULTIPROCESSING SYSTEMS;

EID: 0031325759     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022613603828     Document Type: Article
Times cited : (5)

References (32)
  • 1
    • 0000408490 scopus 로고
    • Network and basic solution
    • JOHNSON, E. L., Network and Basic Solution, Operations Research, Vol. 14, pp. 619-624, 1966.
    • (1966) Operations Research , vol.14 , pp. 619-624
    • Johnson, E.L.1
  • 2
    • 84976759292 scopus 로고
    • Benefit-cost analysis of coding techniques for primal transportation algorithms
    • SRINIVASAN, V., and THOMPSON, G. L., Benefit-Cost Analysis of Coding Techniques for Primal Transportation Algorithms, Journal of the ACM, Vol. 20, pp. 194-213, 1973.
    • (1973) Journal of the ACM , vol.20 , pp. 194-213
    • Srinivasan, V.1    Thompson, G.L.2
  • 3
    • 0015956116 scopus 로고
    • A computational study on start procedures basis change criteria and solution algorithms for transportation problems
    • GLOVER, F., KARNY, D., KLINGMAN, D., and NAPIER, A., A Computational Study on Start Procedures Basis Change Criteria and Solution Algorithms for Transportation Problems, Management Science, Vol. 20, pp. 793-813, 1974.
    • (1974) Management Science , vol.20 , pp. 793-813
    • Glover, F.1    Karny, D.2    Klingman, D.3    Napier, A.4
  • 4
    • 0039613221 scopus 로고
    • Solution of large dense transportation problems using a parallel primal algorithm
    • Management Science Department, Carnegie Mellon University, Pittsburgh, Pennsylvania
    • MILLER, D., PEKNY, J., and THOMPSON, G. L., Solution of Large Dense Transportation Problems Using a Parallel Primal Algorithm, Technical Report, Management Science Department, Carnegie Mellon University, Pittsburgh, Pennsylvania, 1989.
    • (1989) Technical Report
    • Miller, D.1    Pekny, J.2    Thompson, G.L.3
  • 5
    • 0039020947 scopus 로고
    • The network simplex method on a multiprocessor
    • PETERS, J., The Network Simplex Method on a Multiprocessor, Networks, Vol. 20, pp. 845-859, 1990.
    • (1990) Networks , vol.20 , pp. 845-859
    • Peters, J.1
  • 6
    • 0027927347 scopus 로고
    • Parallel simplex for large pure network problems: Computational testing and sources of speedup
    • BARR, R. S., and HICKMAN, B. L., Parallel Simplex for Large Pure Network Problems: Computational Testing and Sources of Speedup, Operations Research, Vol. 42, pp. 65-80, 1994.
    • (1994) Operations Research , vol.42 , pp. 65-80
    • Barr, R.S.1    Hickman, B.L.2
  • 9
    • 0023817929 scopus 로고
    • Relaxation methods for minimum cost ordinary and generalized network flow problems
    • BERTSEKAS, D. P., and TSENG, P., Relaxation Methods for Minimum Cost Ordinary and Generalized Network Flow Problems, Operations Research, Vol. 36, pp. 93-114, 1988.
    • (1988) Operations Research , vol.36 , pp. 93-114
    • Bertsekas, D.P.1    Tseng, P.2
  • 10
    • 0004033429 scopus 로고
    • RELAX-IV: A new and improved version of the RELAX code
    • Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts
    • BERTSEKAS, D. P., and TSENG, P., RELAX-IV: A New and Improved Version of the RELAX Code, Report LIDS-P-2276, Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1994.
    • (1994) Report LIDS-P-2276
    • Bertsekas, D.P.1    Tseng, P.2
  • 11
    • 0039020948 scopus 로고
    • A primal-dual algorithm for the capacitated hitchcock problem
    • FORD, L. R., and FULKERSON, D. R., A Primal-Dual Algorithm for the Capacitated Hitchcock Problem, Naval Research Logistic Quarterly, Vol. 4, pp. 47-54, 1957.
    • (1957) Naval Research Logistic Quarterly , vol.4 , pp. 47-54
    • Ford, L.R.1    Fulkerson, D.R.2
  • 12
    • 84957946170 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • FORD, L. R., and FULKERSON, D. R., Flows in Networks, Princeton University Press, Princeton, New Jersey, 1962.
    • (1962) Flows in Networks
    • Ford, L.R.1    Fulkerson, D.R.2
  • 14
    • 0010902922 scopus 로고
    • Working Paper, Laboratory for Information and Decision System, Massachusetts Institute of Technology, Cambridge, Massachusetts
    • BERTSEKAS, D. P., A Distributed Algorithm for the Assignment Problem, Working Paper, Laboratory for Information and Decision System, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1979.
    • (1979) A Distributed Algorithm for the Assignment Problem
    • Bertsekas, D.P.1
  • 15
    • 0022290407 scopus 로고
    • A distributed asynchronous relaxation algorithm for the assignment problem
    • Fort Lauderdale, Florida
    • BERTSEKAS, D. P., A Distributed Asynchronous Relaxation Algorithm for the Assignment Problem, Proceedings of 24th IEEE Conference on Decision and Control, Fort Lauderdale, Florida, pp. 1703-1704, 1985.
    • (1985) Proceedings of 24th IEEE Conference on Decision and Control , pp. 1703-1704
    • Bertsekas, D.P.1
  • 16
    • 0000964556 scopus 로고
    • The auction algorithm: A distributed relaxation method for the assignment problem
    • BERTSEKAS, D. P., The Auction Algorithm: A Distributed Relaxation Method for the Assignment Problem, Annals of Operations Research, Vol. 14, pp. 105-123, 1988.
    • (1988) Annals of Operations Research , vol.14 , pp. 105-123
    • Bertsekas, D.P.1
  • 17
    • 0010902324 scopus 로고
    • Distributed asynchronous relaxation method for linear network flow problems
    • Laboratory for Information and Decision System, Massachusetts Institute of Technology, Cambridge, Massachusetts
    • BERTSEKAS, D. P., Distributed Asynchronous Relaxation Method for Linear Network Flow Problems, Report LIDS-P-1606, Laboratory for Information and Decision System, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1986.
    • (1986) Report LIDS-P-1606
    • Bertsekas, D.P.1
  • 18
    • 0022983770 scopus 로고
    • Distributed asynchronous relaxation method for linear network flow problems
    • Athens, Greece
    • BERTSEKAS, D. P., Distributed Asynchronous Relaxation Method for Linear Network Flow Problems, Proceedings of 25th IEEE Conference on Decision and Control, Athens, Greece, pp. 2101-2106, 1986.
    • (1986) Proceedings of 25th IEEE Conference on Decision and Control , pp. 2101-2106
    • Bertsekas, D.P.1
  • 19
    • 0039020941 scopus 로고
    • An auction sequential shortest path algorithm for minimum cost network flow problems
    • Laboratory for Information and Decision System, Massachusetts Institute of Technology, Cambridge, Massachusetts
    • BERTSEKAS, D. P., An Auction Sequential Shortest Path Algorithm for Minimum Cost Network Flow Problems, Report LIDS-P-2146, Laboratory for Information and Decision System, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1992.
    • (1992) Report LIDS-P-2146
    • Bertsekas, D.P.1
  • 21
    • 0001764412 scopus 로고
    • Solving minimum cost flow problems by successive approximation
    • GOLDBERG, A. V., and TARJAN, R. E., Solving Minimum Cost Flow Problems by Successive Approximation, Mathematics of Operations Research, Vol. 15, pp. 430-466, 1990.
    • (1990) Mathematics of Operations Research , vol.15 , pp. 430-466
    • Goldberg, A.V.1    Tarjan, R.E.2
  • 22
    • 0000779388 scopus 로고
    • The auction algorithm for the shortest path problem
    • BERTSEKAS, D. P., The Auction Algorithm for the Shortest Path Problem, SIAM Journal on Optimization, Vol. 1, pp. 425-447, 1991.
    • (1991) SIAM Journal on Optimization , vol.1 , pp. 425-447
    • Bertsekas, D.P.1
  • 24
    • 0005443512 scopus 로고
    • Data-level parallel solution of min-cost network flow problems using ∈-relaxations
    • LI, X., and ZENIOS, S. A., Data-Level Parallel Solution of Min-Cost Network Flow Problems Using ∈-Relaxations, European Journal of Operational Research, Vol. 79, pp. 474-488, 1994.
    • (1994) European Journal of Operational Research , vol.79 , pp. 474-488
    • Li, X.1    Zenios, S.A.2
  • 25
    • 0040204954 scopus 로고
    • A massively parallel ∈-relaxation algorithm for linear transportation problems
    • Edited by P. M. Pardalos, Elsevier Science Publisher, Amsterdam, Netherlands
    • LI, X., and ZENIOS, S. A., A Massively Parallel ∈-Relaxation Algorithm for Linear Transportation Problems, Advances in Optimization and Parallel Computing, Edited by P. M. Pardalos, Elsevier Science Publisher, Amsterdam, Netherlands, pp. 164-176, 1992.
    • (1992) Advances in Optimization and Parallel Computing , pp. 164-176
    • Li, X.1    Zenios, S.A.2
  • 29
    • 0028494927 scopus 로고
    • Parallel shortest path auction algorithms
    • POLYMENAKOS, L. C., and BERTSEKAS, D. P., Parallel Shortest Path Auction Algorithms, Parallel Computing, Vol. 20, pp. 1221-1247, 1994.
    • (1994) Parallel Computing , vol.20 , pp. 1221-1247
    • Polymenakos, L.C.1    Bertsekas, D.P.2
  • 30
    • 0040204953 scopus 로고
    • Algoritmi paralleli per la soluzione di problemi di flusso a costo minimo su reti a grandi dimensioni
    • Dipartimento di Elettronica, Informatica e Sistemistica, Università della Calabria, Rende, Italy
    • BERALDI, P., GUERRIERO, F., and MUSMANNO, R., Algoritmi Paralleli per la Soluzione di Problemi di Flusso a Costo Minimo su Reti a Grandi Dimensioni, Technical Report PARCOLAB 2/95, Dipartimento di Elettronica, Informatica e Sistemistica, Università della Calabria, Rende, Italy, 1995.
    • (1995) Technical Report PARCOLAB 2/95
    • Beraldi, P.1    Guerriero, F.2    Musmanno, R.3
  • 31
    • 0015989127 scopus 로고
    • NETGEN: A program for generating large scale (Un)capacitated assignment, transportation, and minimum cost flow network problems
    • KLINGMAN, D., NAPIER, A., and STUTZ, J., NETGEN: A Program for Generating Large Scale (Un)Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems, Management Science, Vol. 20, pp. 814-822, 1974.
    • (1974) Management Science , vol.20 , pp. 814-822
    • Klingman, D.1    Napier, A.2    Stutz, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.