메뉴 건너뛰기




Volumn 58, Issue 1, 2011, Pages 68-80

The most likely path on series-parallel networks

Author keywords

optimization under uncertainty; probability bounds; series parallel; shortest path

Indexed keywords

ANALYTICAL BOUNDS; COMPUTATIONAL STUDIES; COMPUTATIONAL TRACTABILITY; EXACT SOLUTION; NUMERICAL INTEGRATIONS; OPTIMAL SOLUTIONS; OPTIMALITY; OPTIMIZATION UNDER UNCERTAINTY; ORDINAL OPTIMIZATION; PATH PROBLEMS; PROBABILITY BOUNDS; SERIES-PARALLEL; SHORTEST PATH; STOCHASTIC SHORTEST PATH PROBLEM; STOCHASTIC SHORTEST PATHS; TEST NETWORK;

EID: 79960721262     PISSN: 00283045     EISSN: 10970037     Source Type: Journal    
DOI: 10.1002/net.20416     Document Type: Article
Times cited : (4)

References (29)
  • 1
    • 0042937128 scopus 로고
    • An improved conditional Monte Carlo technique for the stochastic shortest path problem
    • V. G. Adlakha, An improved conditional Monte Carlo technique for the stochastic shortest path problem, Manage Sci 32 (1986), 1360-1367.
    • (1986) Manage Sci , vol.32 , pp. 1360-1367
    • Adlakha, V.G.1
  • 2
    • 0041109437 scopus 로고    scopus 로고
    • State space partitioning methods for stochastic shortest path problems
    • C. Alexopoulos, State space partitioning methods for stochastic shortest path problems, Networks 30 (1997), 9-21. (Pubitemid 127360027)
    • (1997) Networks , vol.30 , Issue.1 , pp. 9-21
    • Alexopoulos, C.1
  • 3
    • 5844383316 scopus 로고
    • Arc reduction and path preference in stochastic acyclic networks
    • J. F. Bard, J. E. Bennett, Arc reduction and path preference in stochastic acyclic networks, Manage Sci 37 (1991), 198-215.
    • (1991) Manage Sci , vol.37 , pp. 198-215
    • Bard, J.F.1    Bennett, J.E.2
  • 4
    • 0024858472 scopus 로고
    • Probabilistic shortest path problems with budgetary constraints
    • J. F. Bard, J. L. Miller, Probabilistic shortest path problems with budgetary constraints, Comput Oper Res 16 (1989), 145-159.
    • (1989) Comput Oper Res , vol.16 , pp. 145-159
    • Bard, J.F.1    Miller, J.L.2
  • 5
    • 84870613023 scopus 로고    scopus 로고
    • Robust discrete optimization and network flows
    • D. Bertsimas, M. Sim, Robust discrete optimization and network flows, Math Program 98 (2003), 49-71.
    • (2003) Math Program , vol.98 , pp. 49-71
    • Bertsimas, D.1    Sim, M.2
  • 6
    • 0347270932 scopus 로고
    • Finding the minimum-cost maximum flow in a series-parallel network
    • H. Booth, R. E. Tarjan, Finding the minimum-cost maximum flow in a series-parallel network, J Algorithms 15 (1993), 416-446.
    • (1993) J Algorithms , vol.15 , pp. 416-446
    • Booth, H.1    Tarjan, R.E.2
  • 7
    • 0039402316 scopus 로고
    • Conditional Monte Carlo: A simulation technique for stochastic network analysis
    • J. M. Burt Jr., M. B. Garman, Conditional Monte Carlo: A simulation technique for stochastic network analysis, Manage Sci 18 (1971), 207-217.
    • (1971) Manage Sci , vol.18 , pp. 207-217
    • Burt, Jr.J.M.1    Garman, M.B.2
  • 9
    • 0030167877 scopus 로고    scopus 로고
    • Reliability optimization of series-parallel systems using a genetic algorithm
    • D. W. Coit, A. E. Smith, Reliability optimization of series-parallel systems using a genetic algorithm, IEEE Trans Reliab 45 (1996), 254-260.
    • (1996) IEEE Trans Reliab , vol.45 , pp. 254-260
    • Coit, D.W.1    Smith, A.E.2
  • 11
    • 0022010935 scopus 로고
    • Path preferences and optimal paths in probabilistic networks
    • A. Eiger, P. B. Mirchandani, H. Soroush, Path preferences and optimal paths in probabilistic networks, Transportation Sci 19 (1985), 75-84. (Pubitemid 15490001)
    • (1985) Transportation Science , vol.19 , Issue.1 , pp. 75-84
    • Eiger Amir1    Mirchandani Pitu, B.2    Soroush Hossein3
  • 12
    • 0242582547 scopus 로고
    • Utility theory
    • P. C. Fishburn, Utility theory, Manage Sci 14 (1968), 335-378.
    • (1968) Manage Sci , vol.14 , pp. 335-378
    • Fishburn, P.C.1
  • 13
    • 0002748055 scopus 로고
    • Correlation inequalities on some partially ordered sets
    • C. M. Fortuin, P. W. Kasteleyn, J. Ginibre, Correlation inequalities on some partially ordered sets, Commun in Math Phys 22 (1971), 89-103.
    • (1971) Commun in Math Phys , vol.22 , pp. 89-103
    • Fortuin, C.M.1    Kasteleyn, P.W.2    Ginibre, J.3
  • 14
    • 0014534283 scopus 로고
    • Shortest paths in probabilistic graphs
    • H. Frank, Shortest paths in probabilistic graphs, Oper Res 17 (1969), 583-599.
    • (1969) Oper Res , vol.17 , pp. 583-599
    • Frank, H.1
  • 15
    • 13444269168 scopus 로고    scopus 로고
    • Project scheduling under uncertainty: Survey and research potentials
    • DOI 10.1016/j.ejor.2004.04.002, PII S0377221704002401, Project Management and Scheduling
    • W. Herroelen, R. Leus, Project scheduling under uncertainty: Survey and research potentials, Eur J Oper Res 165 (2005), 289-306. (Pubitemid 40206362)
    • (2005) European Journal of Operational Research , vol.165 , Issue.2 , pp. 289-306
    • Herroelen, W.1    Leus, R.2
  • 17
    • 28044451499 scopus 로고    scopus 로고
    • The robust shortest path problem in series-parallel multidigraphs with interval data
    • DOI 10.1016/j.orl.2005.01.008, PII S0167637705000283
    • A. Kasperski, P. Zieliski, The robust shortest path problem in series-parallel multidigraphs with interval data, Oper Res Lett 34 (2006), 69-76. (Pubitemid 41688320)
    • (2006) Operations Research Letters , vol.34 , Issue.1 , pp. 69-76
    • Kasperski, A.1    Zielinski, P.2
  • 18
    • 2542533158 scopus 로고    scopus 로고
    • Minimum-cost dynamic flows: The series-parallel case
    • DOI 10.1002/net.10112
    • B. Klinz, G. J. Woeginger, Minimum-cost dynamic flows: The series-parallel case, Networks 43 (2004), 153-162. (Pubitemid 38700753)
    • (2004) Networks , vol.43 , Issue.3 , pp. 153-162
    • Klinz, B.1    Woeginger, G.J.2
  • 20
    • 0020811529 scopus 로고
    • Optimal paths in graphs with stochastic or multidimensional weights
    • R. P. Loui, Optimal paths in graphs with stochastic or multidimensional weights, Commun ACM 26 (1983), 670-676.
    • (1983) Commun ACM , vol.26 , pp. 670-676
    • Loui, R.P.1
  • 21
    • 0348233470 scopus 로고    scopus 로고
    • A branch and bound algorithm for the robust shortest path problem with interval data
    • R. Montemanni, L. M. Gambardella, A. V. Donati, A branch and bound algorithm for the robust shortest path problem with interval data, Oper Res Lett 32 (2004), 225-232.
    • (2004) Oper Res Lett , vol.32 , pp. 225-232
    • Montemanni, R.1    Gambardella, L.M.2    Donati, A.V.3
  • 22
    • 0018493260 scopus 로고
    • The two-machine maximum flow time problem with series parallel precedence relations
    • J. B. Sidney, The two-machine maximum flow time problem with series parallel precedence relations, Oper Res 27 (1979), 782-791.
    • (1979) Oper Res , vol.27 , pp. 782-791
    • Sidney, J.B.1
  • 23
    • 0018738242 scopus 로고
    • The use of cutsets in Monte Carlo analysis of stochastic networks
    • DOI 10.1016/0378-4754(79)90007-7
    • C. E. Sigal, A. A. B. Pritsker, J. J. Solberg, The use of cutsets in Monte Carlo analysis of stochastic networks, Math Comput in Simulation 21 (1979), 376-384. (Pubitemid 10446036)
    • (1979) Mathematics and Computers in Simulation , vol.21 , Issue.4 , pp. 376-384
    • Sigal, C.E.1    Pritsker, A.A.B.2    Solberg, J.J.3
  • 24
    • 0005263538 scopus 로고
    • The stochastic shortest route problem
    • C. E. Sigal, A. A. B. Pritsker, J. J. Solberg, The stochastic shortest route problem, Oper Res 28 (1980), 1122-1129.
    • (1980) Oper Res , vol.28 , pp. 1122-1129
    • Sigal, C.E.1    Pritsker, A.A.B.2    Solberg, J.J.3
  • 25
    • 0036027411 scopus 로고    scopus 로고
    • A review of the contribution of Operational Research to Project Management
    • DOI 10.1016/S0377-2217(01)00097-2, PII S0377221701000972
    • L. V. Tavares, A review of the contribution of operational research to project management, Eur J Oper Res 136 (2002), 1-18. (Pubitemid 33018800)
    • (2002) European Journal of Operational Research , vol.136 , Issue.1 , pp. 1-18
    • Tavares, L.V.1
  • 27
    • 0033075212 scopus 로고    scopus 로고
    • Minimum-aggregate-concave-cost multicommodity flows in strong series-parallel networks
    • J. A. Ward, Minimum-aggregate-concave-cost multicommodity flows in strong series-parallel networks, Math Oper Res 24 (1999), 106-129.
    • (1999) Math Oper Res , vol.24 , pp. 106-129
    • Ward, J.A.1
  • 28
    • 0032093911 scopus 로고    scopus 로고
    • On the robust shortest path problem
    • G. Yu, J. Yang, On the robust shortest path problem, Comput Oper Res 25 (1998), 457-468.
    • (1998) Comput Oper Res , vol.25 , pp. 457-468
    • Yu, G.1    Yang, J.2
  • 29
    • 2942622602 scopus 로고    scopus 로고
    • The computational complexity of the relative robust shortest path problem with interval data
    • P. Zieliski, The computational complexity of the relative robust shortest path problem with interval data, Eur J Oper Res 158 (2004), 570-576.
    • (2004) Eur J Oper Res , vol.158 , pp. 570-576
    • Zieliski, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.