134
Views
46
CrossRef citations to date
0
Altmetric
Original Articles

ON RELIABILITY EVALUATION OF A STOCHASTIC-FLOW NETWORK IN TERMS OF MINIMAL CUTS

Pages 49-54 | Received 01 May 1999, Accepted 01 Dec 1999, Published online: 17 Feb 2010

REFERENCES

  • Abraham , J. A. 1979 . An improved algorithm for network reliability . IEEE Transactions Reliability , 28 : 58 – 61 .
  • Aggarwal , K. K. , Chopra , Y. C. and Bajwa , J. S. 1982 . Capacity consideration in reliability analysis of communication systems . IEEE Transactions Reliability , 31 : 177 – 180 .
  • Aven , T. 1985 . Reliability evaluation of multistate systems with multistate components . IEEE Transactions Reliability , 34 : 473 – 479 .
  • Ball , M. O. 1986 . Computational complexity of network reliability analysis: an overview . IEEE Transactions Reliability , 35 ( 3 ) : 230 – 239 .
  • Clancy , D. P. , Gross , G. and Wu , F. F. 1983 . Probability flows for reliability evaluation of multiarea power system interconnections . Electrical Power and Energy System , 5 : 100 – 114 .
  • Doulliez , P. and Jamoulle , J. 1972 . Transportation networks with random arc capacities . Recherche Operationnelle , 3 : 45 – 60 .
  • El-Neweihi , E. , Proschan , F. and Sethuraman , J. 1978 . Multistate coherent systems . Journal of Applied Probability , 15 : 675 – 688 .
  • Evans , J. R. 1976 . Maximal flow in probabilistic graphs -the discrete case . Networks , 6 : 161 – 183 .
  • Ford , L. R. and Fulkerson , D. R. 1962 . Flows in Networks Princeton, New Jersey : Princeton University Press .
  • Griffith , W. S. 1980 . Multistate reliability models . Journal of Applied Probability , 17 : 735 – 744 .
  • Henley , E. J. and Kumanoto , H. 1981 . Reliability Engineering and Risk Assessment Englewood Cliffs, New Jersey : Prentice-Hall .
  • Hudson , J. C. and Kapur , K. C. 1983 . Reliability analysis for multistate systems with multistate components . IIE Transactions , 15 : 127 – 135 .
  • Hudson , J. C. and Kapur , K. C. 1985 . Reliability bounds for multistate systems with multistate components . Operations Research , 33 : 153 – 160 .
  • Jane , C. C. , Lin , J. S. and Yuan , J. 1993 . On reliability evaluation of a limited-flow network in terms of minimal cutsets . IEEE Transactions Reliability , 42 ( 3 ) : 354 – 361 .
  • Kumar , V. and Aggarwal , K. K. 1989 . A petri net approach to determine all spanning tree for overall reliability analysis of general networks . Reliability Engineering and System Safety , 25 : 283 – 291 .
  • Lin , Y. K. and Yuan , J. 1998 . A new algorithm to generate d-minimal paths in a multistate flow network with non-integer arc capacities . International Journal of Reliability, Quality and Safety Engineering , 5 ( 3 ) : 269 – 285 .
  • Locks , M. O. 1980 . Recursive disjoint products, inclusion-exclusion and min-cut approximations . IEEE Transactions Reliability , 29 : 368 – 371 .
  • Xue , J. 1985 . On multistate system analysis . IEEE Transactions Reliability , 34 : 329 – 337 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.