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Feasible star – delta and delta – star transformations for reliability networks

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Języki publikacji
EN
Abstrakty
EN
Consider the problem of transforming a star (delta) into an equivalent delta (star) in a reliability network with imperfect undirected edges and perfect vertices. It is believed that such transformations are not possible in general if the probabilities of the elements of the given star / delta are rational numbers. Contrary to this, it is shown here that star – delta and delta – star transformations are possible under certain conditions. Further the probability of success of an element of an equivalent star (delta) is shown to be equal to the probability of failure of the corresponding element of the given delta (star).
Rocznik
Strony
1--5
Opis fizyczny
Bibliogr. 14 poz., rys., tab.
Twórcy
autor
  • Department of Electrical Engineering, Faculty of Engineering, Dayalbagh Educational Institute, Dayalbagh, Agra 282005, India
Bibliografia
  • [1] R. Billington and R.N. Allan, Reliability evaluation of Power systems, 2nd ed. New York: Plenum Press, 1996.
  • [2] M. Ramamoorthy and Balgopal, “Block diagram approach to power system reliability,” IEEE Trans. Power App. Syst., vol. 89, no. 5/6, pp. 802–811, May/Jun. 1970.
  • [3] S.K. Banerjee and K. Rajamani, “Closed form solutions for delta-star and star-delta conversions of reliability networks,” IEEE Trans. Reliab., vol. R-25, no. 2, pp. 118–119, Jun. 1976.
  • [4] C. Singh and M.D. Kankam,“Comment on: Closed form solutions for delta-star and star-delta conversions of reliability networks,” IEEE Trans. Reliab., vol. R-25, no. 2, pp. 336–339, Jun. 1976.
  • [5] A. Rosenthal and D. Frisque, “Transformations for simplifying network reliability calculations,” Networks, vol. 7, no. 2, pp. 97–111, Jun. 1977.
  • [6] A. Rosenthal, “Note on: Closed form solutions for delta-star and star-delta conversions of reliability networks,” IEEE Trans. Reliab., vol. R-27, no. 2, pp. 110–111, Jun. 1978.
  • [7] H. Gupta and J. Sharma, “A delta-star transformation approach for reliability evaluation,” IEEE Trans. Reliab., vol. R-27, no. 3, pp. 212–214, Aug. 1978.
  • [8] D.L. Grosh, “Comments on Delta-Star problem,” IEEE Trans. Reliab., vol. R-32, no. 4, pp. 391–394, Oct. 1983.
  • [9] L. Traldi, “On the star delta transformation in network reliability,” Networks, vol. 23, no. 3, pp. 151–157, May 1993.
  • [10] S.D. Wang and C.H. Sun, “Transformations of star-delta and delta-star reliability networks,” IEEE Trans. Reliab., vol. 45, no. 1, pp. 120–126, Mar. 1996.
  • [11] V.C. Prasad, “Transformation of a star to delta for network reliability calculations,” Asian J. of Mathematics and Computer Research, vol. 9, no. 1, pp. 46–56, 2016.
  • [12] G. Levitin, A. Lisnianski, H. Ben-Haim and D. Elmakis, “Redundancy optimization for series-parallel multi-state systems,” IEEE Trans. Reliab., vol. 47, no. 2, pp. 165–172, Jun. 1998.
  • [13] R. Bris, E. Chatelet and F. Yalaoui, “New method to minimize the preventive maintenance cost of series parallel systems,” Reliability Engineering and System Safety, vol. 82, no. 3, pp. 247–255, Dec. 2003.
  • [14] J.S. Provan, “The complexity of reliability computations in planar and acyclic graphs,” SIAM Journal on Computing, vol. 15, no. 3, pp. 694–702, 1986.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-057745d4-5dee-4ee9-a796-63fc0e845a9c
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