Reliability of Large Systems

Reliability of Large Systems

Volumn , Issue , 2004, Pages 1-328

  Kołowrocki, Krzysztof ^a  

^a GDYNIA MARITIME UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84903495259     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-08-044429-1.X5000-4     Document Type: Book

References (119)

1. A. Abouammoh and M. Al-Kadi (1991) Component relevancy in multi-state reliability models. IEEE Transactions on Reliability 40 370-375.
2. S.V. Amari and R.B. Misra (1997) Comment on: Dynamic reliability analysis of coherent multi-state systems. IEEE Transactions on Reliability 46 460-461.
3. C.W. Anderson (1970) Extreme value theory for a class of discrete distributions with applications to some stochastic processes. J. Appl. Prob. 7 99-113.
4. T. Aven (1985) Reliability evaluation of multi-state systems with multi-state components. IEEE Transactions on Reliability 34 473-479.
5. T Aven and U. Jensen (1999) Stochastic Models in Reliability. Springer-Verlag
6. T. Aven (1993) On performance measures for multi-state monotone systems. Reliability Engineering and System Safety 41 259-266.
7. R.E. Barlow and F. Proschan (1975) Statistical Theory of Reliability and Life Testing. Probability Models. New York: Holt Rinehart and Winston, Inc.
8. R.E. Barlow and A.S. Wu (1978) Coherent systems with multi-state components. Mathematics of Operations Research 4 275-281.
9. O. Barndorff-Nielsen (1963) On the limit behaviour of extreme order statistics. Ann. Math. Statist. 34 992-1002.
10. S.M. Berman (1962) Limiting distribution of the maximum term in sequences of dependent random variables. Ann. Math. Statist. 33 894-908.
11. S.M. Berman (1964) Limit theorems for the maximum term in stationary sequences. Ann. Math. Statist. 35 502-516.
12. H.W. Block and T.H. Savitis (1982) A decomposition for multi-state monotone systems. J. Applied Probability 19 391-402.
13. D. Bobrowski (1985) Mathematical Models in Reliability Theory (in Polish). New York: WNT
14. R. Boedigheimer and K. Kapur (1994) Customer-driven reliability models for multi-state coherent systems. IEEE Transactions on Reliability 43 45-50.
15. A. Bausch (1987) Calculation of critical importance for multi-state components. IEEE Transactions on Reliability 36 247-249.
16. R.D. Brunelle and K.C. Kapur (1999) Review and classification of reliability measures for multi-state and continuum models. IEEE Transactions 31 1117-1180.
17. D. Butler (1979) A complete importance ranking for components of binary coherent systems with extension to multi-state systems. Naval Research Logistics 26 556-578.
18. D. Butler (1982) Bounding the reliability of multi-state systems. Operations Research 30 530-544.
19. L. Cardalora (1980) Coherent systems with multi-state components. Nucl. Eng. Design 58 127-139.
20. E. Castillo (1988) Extreme Value Theory in Engineering. Warsaw: Boston Academic Press
21. H. Chernoff and H. Teicher (1965) Limit distributions of the minimax of independent identically distributed random variables. Proc. Americ. Math. Soc. 116 474-491.
22. Certificate for steel wire rope Boston: Casar Drahtseilwerk Saar BMBH
23. A. Cichocki, D. Kurowicka and B. Milczek (1998) On limit reliability functions of large systems. Chapter 12. D.C. Ionescu, N. Limnios,(Eds) Statistical and Probabilistic Models in Reliability Kirkel: Birkhauser 184-193.
24. A. Cichocki (2001) Limit reliability functions of some homogeneous regular series-parallel and parallel-series systems of higher order. Applied Mathematics and Computation 120 55-72.
25. A. Cichocki (2003) Determining of Limit Reliability Functions of Hierarchical Systems under Power Standardisation (in Polish). PhD Thesis. Gdynia Maritime University-System Research Institute Warsaw
26. J. Collet (1996) Some remarks on rare-event approximation. IEEE Transactions on Reliability 45 106-108.
27. H.E. Daniels (1945) The statistical theory of the strength of bundles of threads. J. Proc. Roy. Soc. 183 404-435.
28. L. De Haan (1970) On Regular Variation and Its Application to the Weak Convergence of Sample Extremes. Boston: Mathematics Centre Math. Centr. Tracts 32
29. W. Dziubdziela (1977) Limit distributions of order statistics (in Polish). Applied Mathematics 9 45-71.
30. N. Ebrahimi (1984) Multistate reliability models. Naval Res. Logistics 31 671-680.
31. E. El-Neweihi, F. Proschan and J. Setchuraman (1978) Multi-state coherent systems. J. Applied Probability 15 675-688.
32. M.N. Fardis and C.A. Cornell (1981) Analysis of coherent multistate systems. IEEE Transactions on Reliability 30 117-122.
33. R.A. Fisher and L.H.C. Tippett (1928) Limiting forms of the frequency distribution of the largest and smallest member of a sample. Proc. Cambr. Phil. Soc. 24 180-190.
34. M. Frechet (1927) Sur la loi de probabilite de l'ecart maximum. Ann. de la Soc. Polonaise de Math. 6 93-116.
35. J. Galambos (1975) Limit laws for mixtures with applications to asymptotic theory of extremes. Z. Wahrscheinlichkeiststheorie Verw. Gebiete 32 197-207.
36. B.W. Gniedenko (1943) Sur la distribution limite du terme maximum d'une serie aleatoire. Ann. of Math. 44 432-453.
37. F. Grabski (2002) Semi-Markov Models of Systems Reliability and Operations. Monography. Analysis (in Polish). Monograph. Amsterdam: System Research Institute, Polish Academy of Science
38. W.S. Griffith (1980) Multi-state reliability models. J. Applied Probability 17 735-744.
39. E.J. Gumbel (1935) Les valeurs extremes des distributions statistiques. Ann. Inst. H. Poincare 4 115.
40. E.J. Gumbel (1962) Statistics of Extremes. New York
41. D.G. Harlow and S.L. Phoenix (1991) Approximations for the strength distribution and size effects in an idealised lattice model of material breakdown. Journal of Mechanics and Physics of Solids 39 173-200.
42. D.G. Harlow (1997) Statistical properties of hybrid composites: asymptotic distributions for strain. Reliability Engineering and System Safety 56 197-208.
43. R. Harris (1970) An application of extreme value theory to reliability theory. Ann. Math. Statist. 41 1456-1465.
44. O. Hryniewicz (1995) Lifetime tests for imprecise data and fuzzy reliability requirements. T. Onisawa, J. Kacprzyk,(Eds) Reliability and Safety Analyses under Fuzziness Warsaw: Physica Verlag 169-182.
45. J. Huang, M.J. Zuo and Y. Wu (2000) Generalized multi-state k-out-of-n:G systems. IEEE Transactions on Reliability 49 105-111.
46. J.C. Hudson and K.C. Kapur (1982) Reliability theory for multistate systems with multistate components. Microelectronics and Reliability 22 1-7.
47. J.C. Hudson and K.C. Kapur (1983) Reliability analysis of multistate systems with multistate components. Transactions of Institute of Industrial Engineers 15 127-135.
48. J. Hudson and K.C. Kapur (1983) Modules in coherent multistate systems. IEEE Transactions on Reliability 32 183-185.
49. J. Hudson and K. Kapur (1985) Reliability bounds for multistate systems with multistate components. Operations Research 33 735-744.
50. J. Jaźwinski and K. Fiok-Ważyńska (1990) Reliability of Technical Systems (in Polish). Heidelberg: PWN
51. J. Karpiński and E. Korczak (1990) Methods of Reliability Evaluation of Two-state Technical Systems (in Polish). Warsaw: System Research Institute, Polish Academy of Science
52. L.M. Kaufman, J.B. Dugan and B.W. Johnson (1999) Using statistics of the extremes for software reliability analysis. IEEE Transactions on Reliability 48(3), 292-299.
53. K. Kołowrocki (1993) On a class of limit reliability functions of some regular homogeneous series-parallel systems. Reliability Engineering and System Safety 39 11-23.
54. K. Kołowrocki (1993) On asymptotic reliability functions of series-parallel and parallel-series systems with identical components. Reliability Engineering and System Safety 41 251-257.
55. K. Kołowrocki (1993) On a class of limit reliability functions of some regular homogeneous series-parallel systems. Applied Mathematics 36 55-69.
56. K. Kołowrocki (1993) On a Class of Limit Reliability Functions for Series-parallel and Parallel-series Systems. Monograph. Warsaw: Maritime University Press
57. K. Kołowrocki (1994) A remark on the class of limit reliability functions of series-parallel systems. Exploitation Problems of Machines 2(98), 279-296.
58. K. Kołowrocki (1994) The classes of asymptotic reliability functions for series-parallel and parallel-series systems. Reliability Engineering and System Safety 46 179-188.
59. K. Kołowrocki (1994) Limit reliability functions of some series-parallel and parallel-series systems. Applied Mathematics and Computation 62 129-151.
60. K. Kołowrocki (1994) Limit reliability functions of some non-homogeneous series-parallel and parallel-series systems. Reliability Engineering and System Safety 46 171-177.
61. K. Kołowrocki (1994) On limiting forms of the reliability functions sequence of the series-parallel and parallel-series systems. Applied Mathematics and Computer Science 4 575-590.
62. K. Kołowrocki (1995) On a class of limit reliability functions for series-parallel and parallel-series systems. International Journal of Pressure Vessels and Piping 61 541-569.
63. K. Kołowrocki (1995) Asymptotic reliability functions of some non-homogeneous series-parallel and parallel-series systems. Applied Mathematics and Computation 73 133-151.
64. K. Kołowrocki (1998) On applications of asymptotic reliability functions to the reliability and risk evaluation of pipelines. International Journal of Pressure Vessels and Piping 75 545-558.
65. K. Kołowrocki (1999) On limit reliability functions of large systems. Chapter 11. D.C. Ionescu, N. Limnios,(Eds) Statistical and Probabilistic Models in Reliability Gdynia: Birkhauser 153-183.
66. K. Kołowrocki (1999) On reliability and risk of large multi-state systems with degrading components. Exploitation Problems of Machines 189-210.
67. K. Kołowrocki (2000) On asymptotic approach to multi-state systems reliability evaluation. Chapter 11. N. Limnios, M. Nikulin,(Eds) Recent Advances in Reliability Theory: Methodology, Practice and Inference Boston: Birkhauser 163-180.
68. K. Kołowrocki (2000) Weibull distribution applications to reliability evaluation of transportation systems. Archives of Transport 12(2), 17-31.
69. K. Kołowrocki (2000) Asymptotic approach to reliability evaluation of piping and rope transportation systems. Exploitation Problems of Machines 2(122), 111-133.
70. K. Kołowrocki (2000) Reliability evaluation of port transportation systems (in Polish). Report. Maritime Academy, Gdynia Consultants: Baranowski Z., Cichosz J., Jewasiński D.
71. K. Kołowrocki, et al. (2000) Limit reliability functions of large multistate systems and their applications to transportation and durability problems. Parts 1, 2, 3 (in Polish). Report. Project founded by the Polish Committee for Scientific Research, Maritime University, Gdynia 567.
72. K. Kołowrocki and D. Kurowicka (2001) Limit reliability functions for non-homogeneous systems. Chapter 3. Techniques in Representing High Dimensional Distributions Boston: Delft University 63-86.
73. K. Kołowrocki (2001) Asymptotic approach to reliability evaluation of a rope transportation system. Reliability Engineering and System Safety 71(1), 57-64.
74. K. Kołowrocki (2001) Asymptotic Approach to System Reliability Analysis (in Polish). Monograph. System Research Institute, Polish Academy of Science
75. K. Kołowrocki (2001) On limit reliability functions of large multi-state systems with ageing components. Applied Mathematics and Computation 121 313-361.
76. K. Kołowrocki (2003) An asymptotic approach to reliability evaluation of large multistate systems with applications to piping transportation systems. International Journal of Pressure Vessels and Piping 80 59-73.
77. K. Kołowrocki (2003) Asymptotic approach to reliability analysis of large systems with degrading components. International Journal of Reliability, Quality and Safety Engineering 10(3), 249-288.
78. A. Kossow and W. Preuss (1995) Reliability of linear consecutively-connected systems with multistate components. IEEE Transactions on Reliability 44 518-522.
79. B. Krajewski and C. Pawluk (1999) An opinion on reliability and exploitation of ship rope elevator (in Polish). Warsaw: Naval Shipyard
80. D. Kurowicka (1998) Domains of attraction of asymptotic reliability functions of some homogeneous series-parallel systems. Applied Mathematics and Computation 98 61-74.
81. D. Kurowicka (2001) Techniques in Representing High Dimensional Distributions. PhD Thesis. Gdynia Maritime University-Delft University
82. B. Kwiatuszewska-Sarnecka (2001) On a class of limit reliability functions of large series-parallel systems with assisting components. Applied Mathematics and Computation 123 155-177.
83. B. Kwiatsuzewska-Sarnecka (2003) Reliability Analysis of Reservation Effectiveness in Series Systems (in Polish). PhD Thesis. Gdynia Maritime University-System Research Institute Warsaw
84. M.R. Leadbetter (1974) On extreme values in stationary sequences. Z. Wahrscheinlichkeiststheorie Verw. Gebiete 28 289-303.
85. G. Levitin, A. Lisnianski, H. Ben Haim and D. Elmakis (1998) Redundancy optimisation for multistate series-parallel systems. IEEE Transactions on Reliability 47 165-172.
86. G. Levitin and A. Lisnianski (1998) Joint redundancy and maintenance optimisation for series-parallel multistate systems. Reliability Engineering and System Safety 64 33-42.
87. G. Levitin and A. Lisnianski (1999) Importance and sensitivity analysis of multi-state systems using universal generating functions method. Reliability Engineering and System Safety 65 271-282.
88. G. Levitin and A. Lisnianski (2000) Optimisation of imperfect preventive maintenance for multistate systems. Reliability Engineering and System Safety 67 193-203.
89. G. Levitin and A. Lisnianski (2000) Optimal replacement scheduling in multi-state series-parallel systems. Quality and Reliability Engineering International 16 157-162.
90. G. Levitin and A. Lisnianski (2001) Structure optimisation of multi-state system with two failure modes. Reliability Engineering and System Safety 72 75-89.
91. A. Lisnianski and G. Levitin (2003) Multi-state System Reliability. Assessment, Optimisation and Applications. Gdynia: World Scientific Publishing Co.
92. N. Limnios and G. Oprisan (2001) Semi-Markov Processes and Reliability. New Jersey, London, Singapore, Hong Kong: Birkhauser
93. F. Meng (1993) Component-relevancy and characterisation in multi-state systems. IEEE Transactions on Reliability 42 478-483.
94. B. Milczek (2001) On the class of limit reliability functions of homogeneous series-“k out of n” systems. Applied Mathematics and Computation 137 161-174.
95. B. Milczek (2004) Reliability of Large Series-“k out of n” Systems (in Polish). PhD Thesis. Gdynia Maritime University-System Research Institute Warsaw
96. B. Natvig (1982) Two suggestions of how to define a multi-state coherent system. Adv. Applied Probability 14 434-455.
97. B. Natvig and A. Streller (1984) The steady-state behaviour of multi-state monotone systems. J. Applied Probability 21 826-835.
98. B. Natvig (1984) Multi-state coherent systems. Encyclopaedia of Statistical Sciences Boston: Wiley and Sons
99. F. Ohio and T. Nishida (1984) On multi-state coherent systems. IEEE Transactions on Reliability 33 284-287.
100. E. Pantcheva (1984) Limit Theorems for Extreme Order Statistics Under Non-linear Normalisation. Lecture Notes in Mathematics 1155 284-309.
101. S. Piasecki (1995) Elements of Reliability Theory and Multi-state Objects Exploitation (in Polish). New York: System Research Institute, Polish Academy of Science
102. Polish Norm PN-68/M-80-200. Steel Ropes. Classification and Construction (in Polish).
103. Polish Norm PN-81/M-46-650. Bucket Conveyors. Classification and Construction (in Polish).
104. O. Pourret, J. Collet and J-L. Bon (1999) Evaluation of the unavailability of a multistate-component system using a binary model. IEEE Transactions on Reliability 64 13-17.
105. V. Prasad, W. Kuo and K. Kim (1999) Optimal allocation of s-identical multi-functional spares in a series systems. IEEE Transactions on Reliability 48(2), 118-126.
106. S.I. Resnick (1973) Limit laws for recorded values. Stochastic Processes and their Applications 1 67-82.
107. S. Ross (1979) Multi-valued state component systems. Annals of Probability 7 379-383.
108. N.W. Smirnow (1949) Predielnyje Zakony Raspredielenija dla Czlienow Wariacjonnogo Riada. Warsaw: Trudy Matem. Inst. im. W. A. Stieklowa
109. R.L. Smith (1982) The asymptotic distribution of the strength of a series-parallel system with equal load-sharing. Ann. of Prob. 10 137-171.
110. R.L. Smith (1983) Limit theorems and approximations for the reliability of load sharing systems. Adv. Appl. Prob. 15 304-330.
111. L.S. Sutherland and C.G. Soares (1997) Review of probabilistic models of the strength of composite materials. Reliability Engineering and System Safety 56 183-196.
112. M.N. Tata (1969) On outstanding values in a sequence of random variables. Z. Wahrscheinlichkeists-theorie Verw. Gebiete 12 9-20.
113. Trade Norm BN-75/2118-01. Cranes. Instructions for Expenditure Evaluation of Steel Ropes (in Polish).
114. R. Von Mises (1936) La distribution de la plus grande de n valeurs. Revue Mathematique de l'Union Interbalkanique 1 141-160.
115. R.C. Watherhold (1987) Probabilistic aspects of the strength of short fibre composites with planar distributions. Journal of Materials Science 22 663-669.
116. J. Xue (1985) On multi-state system analysis. IEEE Transactions on Reliability 34 329-337.
117. J. Xue and K. Yang (1995) Dynamic reliability analysis of coherent multi-state systems. IEEE Transactions on Reliability 4(44), 683-688.
118. J. Xue and K. Yang (1995) Symmetric relations in multi-state systems. IEEE Transactions on Reliability 4(44), 689-693.
119. K. Yu, I. Koren and Y. Guo (1994) Generalised multistate monotone coherent systems. IEEE Transactions on Reliability 43 242-250.