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Volumn 87, Issue 2, 2005, Pages 243-251

A path-based algorithm for evaluating the k-out-of-n flow network reliability

Author keywords

Algorithm; Flow network reliability; K out of n; Minimal path (MP)

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER NETWORKS; CONTROL SYSTEMS; POWER TRANSMISSION; PROBABILITY DISTRIBUTIONS; RELIABILITY;

EID: 5444234305     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2004.04.015     Document Type: Article
Times cited : (9)

References (37)
  • 1
    • 0023253456 scopus 로고
    • An efficient algorithm for simultaneously deducing minimal paths as well as cuts of a communication network
    • Samad MA. An efficient algorithm for simultaneously deducing minimal paths as well as cuts of a communication network. Microelectron Reliab 1987;27(3):437-41.
    • (1987) Microelectron Reliab , vol.27 , Issue.3 , pp. 437-441
    • Samad, M.A.1
  • 3
    • 0031223605 scopus 로고    scopus 로고
    • Reliability evaluation for distributed computing networks with imperfect nodes
    • Ke WJ, Wang SD. Reliability evaluation for distributed computing networks with imperfect nodes. IEEE Trans Reliab 1997;46:342-9.
    • (1997) IEEE Trans Reliab , vol.46 , pp. 342-349
    • Ke, W.J.1    Wang, S.D.2
  • 4
    • 0023246018 scopus 로고
    • Availability evaluation of oil/gas production and transportation systems
    • Aven T. Availability evaluation of oil/gas production and transportation systems. Reliab Eng 1987;18:35-44.
    • (1987) Reliab Eng , vol.18 , pp. 35-44
    • Aven, T.1
  • 5
    • 0023859813 scopus 로고
    • Some considerations on reliability theory and its applications
    • Aven T. Some considerations on reliability theory and its applications. Reliab Eng Syst Safety 1988;21:215-23.
    • (1988) Reliab Eng Syst Safety , vol.21 , pp. 215-223
    • Aven, T.1
  • 7
    • 0043031393 scopus 로고    scopus 로고
    • Minimal cut sets of s-t networks with k-om-of-n nodes
    • 10
    • Tan Z. Minimal cut sets of s-t networks with k-om-of-n nodes. Reliab Eng Syst Safety 2003/10;82(1):49-54.
    • (2003) Reliab Eng Syst Safety , vol.82 , Issue.1 , pp. 49-54
    • Tan, Z.1
  • 8
    • 0242691796 scopus 로고    scopus 로고
    • A simple algorithm for evaluating the k-out-of-n network reliability
    • 1
    • Yeh WC. A simple algorithm for evaluating the k-out-of-n network reliability. Reliab Eng Syst Safety 2004/1;83(1):93-101.
    • (2004) Reliab Eng Syst Safety , vol.83 , Issue.1 , pp. 93-101
    • Yeh, W.C.1
  • 9
    • 0041523793 scopus 로고
    • An implicit enumeration scheme for proper cut generation
    • Bellmore M, Jensen PA. An implicit enumeration scheme for proper cut generation. Technometrics 1970;12(4):775-88.
    • (1970) Technometrics , vol.12 , Issue.4 , pp. 775-788
    • Bellmore, M.1    Jensen, P.A.2
  • 10
    • 0016871462 scopus 로고
    • A Gaussian elimination algorithm for enumeration of cutsets in a graph
    • Martelli H. A Gaussian elimination algorithm for enumeration of cutsets in a graph. J ACM 1976;23:58-73.
    • (1976) J ACM , vol.23 , pp. 58-73
    • Martelli, H.1
  • 11
    • 0017478349 scopus 로고
    • Determination of tie sets and cut sets for a system without feedback
    • Biegel JK. Determination of tie sets and cut sets for a system without feedback. IEEE Trans Reliab 1977;R-26:39-41.
    • (1977) IEEE Trans Reliab , vol.R-26 , pp. 39-41
    • Biegel, J.K.1
  • 12
    • 0018455027 scopus 로고
    • Enumeration of all minimal cutsets for a node pair in a graph
    • Arumkumar S, Lee SH. Enumeration of all minimal cutsets for a node pair in a graph. IEEE Trans Reliab 1979;R-28:51-5.
    • (1979) IEEE Trans Reliab , vol.R-28 , pp. 51-55
    • Arumkumar, S.1    Lee, S.H.2
  • 13
    • 0022137377 scopus 로고
    • Algorithms for generating minimal cutsets by inversion
    • Shier DR, Whiled DE. Algorithms for generating minimal cutsets by inversion. IEEE Trans Reliab 1985;R-34:314-9.
    • (1985) IEEE Trans Reliab , vol.R-34 , pp. 314-319
    • Shier, D.R.1    Whiled, D.E.2
  • 14
    • 0023564463 scopus 로고
    • A method for evaluating all the minimal cuts of a graph
    • Jasmon GB, Foong KW. A method for evaluating all the minimal cuts of a graph. IEEE Trans Reliab 1987;R-36:538-45.
    • (1987) IEEE Trans Reliab , vol.R-36 , pp. 538-545
    • Jasmon, G.B.1    Foong, K.W.2
  • 15
    • 0024174186 scopus 로고
    • Simple enumeration of minimal cutsets of acyclic directed graph
    • Ahmad SH. Simple enumeration of minimal cutsets of acyclic directed graph. IEEE Trans Reliab 1988;R-37:484-7.
    • (1988) IEEE Trans Reliab , vol.R-37 , pp. 484-487
    • Ahmad, S.H.1
  • 17
    • 0032686639 scopus 로고    scopus 로고
    • Cutset enumeration of network systems with link and node failures
    • Fard NS, Lee TH. Cutset enumeration of network systems with link and node failures. Reliab Eng Syst Safety 1999;65(2):141-6.
    • (1999) Reliab Eng Syst Safety , vol.65 , Issue.2 , pp. 141-146
    • Fard, N.S.1    Lee, T.H.2
  • 18
    • 0034139861 scopus 로고    scopus 로고
    • Search for MC in modified networks
    • Yeh WC. Search for MC in modified networks. Comput Oper Res 2001;28:177-84.
    • (2001) Comput Oper Res , vol.28 , pp. 177-184
    • Yeh, W.C.1
  • 19
    • 0036833008 scopus 로고    scopus 로고
    • Search for all d-mincuts of a limited-flow network
    • 6
    • Yeh WC. Search for all d-mincuts of a limited-flow network. Comput Oper Res 2002/6;29(13):1843-58.
    • (2002) Comput Oper Res , vol.29 , Issue.13 , pp. 1843-1858
    • Yeh, W.C.1
  • 20
    • 0035147987 scopus 로고    scopus 로고
    • A simple approach to search for all d-MCS of a limited-flow network
    • Yeh WC. A simple approach to search for all d-MCS of a limited-flow network. Reliab Eng Syst Safety 2001;71:15-19.
    • (2001) Reliab Eng Syst Safety , vol.71 , pp. 15-19
    • Yeh, W.C.1
  • 21
    • 0037224522 scopus 로고    scopus 로고
    • Search for all MCS in networks with unreliable nodes and arcs
    • 1
    • Yeh WC. Search for all MCS in networks with unreliable nodes and arcs. Reliab Eng Syst Safety 2003/1;79(1):95-101.
    • (2003) Reliab Eng Syst Safety , vol.79 , Issue.1 , pp. 95-101
    • Yeh, W.C.1
  • 22
    • 0022133013 scopus 로고
    • Cutset analysis of networks using basic minimal paths and network decomposition
    • Jasmon GB. Cutset analysis of networks using basic minimal paths and network decomposition. IEEE Trans Reliab 1985;R-34:303-7.
    • (1985) IEEE Trans Reliab , vol.R-34 , pp. 303-337
    • Jasmon, G.B.1
  • 23
    • 0032273391 scopus 로고    scopus 로고
    • A revised layered-network algorithm to search for all d-minpaths of a limited-flow acyclic network
    • Yeh WC. A revised layered-network algorithm to search for all d-minpaths of a limited-flow acyclic network. IEEE Trans Reliab 1998;7:436-42.
    • (1998) IEEE Trans Reliab , vol.7 , pp. 436-442
    • Yeh, W.C.1
  • 24
    • 0035399562 scopus 로고    scopus 로고
    • A simple algorithm to search for all d-MPs with unreliable nodes
    • Yeh WC. A simple algorithm to search for all d-MPs with unreliable nodes. Reliab Eng Syst Safety 2001;73(1):49-54.
    • (2001) Reliab Eng Syst Safety , vol.73 , Issue.1 , pp. 49-54
    • Yeh, W.C.1
  • 25
    • 0036344354 scopus 로고    scopus 로고
    • A simple method to verify all d-minimal path candidates of a limited-flow network and its reliability
    • Yeh WC. A simple method to verify all d-minimal path candidates of a limited-flow network and its reliability. Int J Adv Manufact Technol 2002;20(1):77-81.
    • (2002) Int J Adv Manufact Technol , vol.20 , Issue.1 , pp. 77-81
    • Yeh, W.C.1
  • 26
    • 0036498784 scopus 로고    scopus 로고
    • Search for minimal paths in modified networks
    • 3
    • Yeh WC. Search for minimal paths in modified networks. Reliab Eng Syst Safety 2002/3;75(3):389-95.
    • (2002) Reliab Eng Syst Safety , vol.75 , Issue.3 , pp. 389-395
    • Yeh, W.C.1
  • 27
    • 0038732942 scopus 로고    scopus 로고
    • A MCS-RSM approach for the network reliability to minimize the total cost
    • 11
    • Yeh WC. A MCS-RSM approach for the network reliability to minimize the total cost Int J Adv Manufact Technol 2003/11; 22(9-10):681-8.
    • (2003) Int J Adv Manufact Technol , vol.22 , Issue.9-10 , pp. 681-688
    • Yeh, W.C.1
  • 28
    • 0036837711 scopus 로고    scopus 로고
    • Multistate-node acyclic network reliability evaluation
    • 11
    • Yeh WC. Multistate-node acyclic network reliability evaluation. Reliab Eng Syst Safety 2002/11;78(2):123-9.
    • (2002) Reliab Eng Syst Safety , vol.78 , Issue.2 , pp. 123-129
    • Yeh, W.C.1
  • 29
    • 0017983219 scopus 로고
    • Inverting and minimalizing pathsets and cutsets
    • Locks MO. Inverting and minimalizing pathsets and cutsets. IEEE Trans Rehab 1978;R-27:107-9.
    • (1978) IEEE Trans Rehab , vol.R-27 , pp. 107-109
    • Locks, M.O.1
  • 30
    • 0242486416 scopus 로고
    • Comments on: Inverting and minimalizing path sets and cut sets
    • Rai S. comments on: Inverting and minimalizing path sets and cut sets. TFRF Trans Reliab 1979;R-32:263.
    • (1979) TFRF Trans Reliab , vol.R-32 , pp. 263
    • Rai, S.1
  • 31
    • 0019022116 scopus 로고
    • On complementation of pathsets and cutsets
    • Rai S, Aggarwal KK. On complementation of pathsets and cutsets. IEEE Trans Reliab 1980;R-29:139-40.
    • (1980) IEEE Trans Reliab , vol.R-29 , pp. 139-140
    • Rai, S.1    Aggarwal, K.K.2
  • 32
    • 0020985617 scopus 로고
    • Inverting paths and cuts of 2-state systems
    • Heidtmann KD. Inverting paths and cuts of 2-state systems. IEEE Trans Reliab 1983;R-32:469-71.
    • (1983) IEEE Trans Reliab , vol.R-32 , pp. 469-471
    • Heidtmann, K.D.1
  • 33
    • 0022072822 scopus 로고
    • A new technique in minimal path and cutest evaluation
    • Jasmon GB, Kai OS. A new technique in minimal path and cutest evaluation. IEEE Trans Reliab 1985;R-34:136-41.
    • (1985) IEEE Trans Reliab , vol.R-34 , pp. 136-141
    • Jasmon, G.B.1    Kai, O.S.2
  • 34
    • 0029323602 scopus 로고
    • A new simple algorithm for enumerating all minimal paths and cuts of a graph
    • Shen Y. A new simple algorithm for enumerating all minimal paths and cuts of a graph. Microelectron Rehab 1995;35(6):973-6.
    • (1995) Microelectron Rehab , vol.35 , Issue.6 , pp. 973-976
    • Shen, Y.1
  • 35
    • 0029729776 scopus 로고    scopus 로고
    • Reliability evaluation for tree-structured systems with multistate components
    • Malinowski J, Preuss W. Reliability evaluation for tree-structured systems with multistate components. Microelectron Reliab 1996;36:9-17.
    • (1996) Microelectron Reliab , vol.36 , pp. 9-17
    • Malinowski, J.1    Preuss, W.2
  • 36
    • 0027148095 scopus 로고
    • Determination of minimal upper paths for reliability analysis of planar flow networks
    • Lee DW, Yum BJ. Determination of minimal upper paths for reliability analysis of planar flow networks. Reliab Eng Syst Safety 1993;39:1-10.
    • (1993) Reliab Eng Syst Safety , vol.39 , pp. 1-10
    • Lee, D.W.1    Yum, B.J.2
  • 37
    • 0026838598 scopus 로고
    • MPs and cuts or networks exposed to common-cause failures
    • see also p. 84
    • Nahman JM. MPs and cuts or networks exposed to common-cause failures. IEEE Trans Reliab 1992;R-41:76-80 see also p. 84.
    • (1992) IEEE Trans Reliab , vol.R-41 , pp. 76-80
    • Nahman, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.