Probabilistic Reliability Models

[1]  Kailash C. Kapur,et al.  Reliability theory for multistate systems with multistate components , 1982 .

[2]  Wei-Chang Yen.  A Simple Heuristic Algorithm for Generating All Minimal Paths , 2007, IEEE Transactions on Reliability.

[3]  Gregory Levitin,et al.  Minmax defense strategy for complex multi-state systems , 2009, Reliab. Eng. Syst. Saf..

[4]  Boyan N. Dimitrov,et al.  On Multi-State Reliability Systems , 2002 .

[5]  Dimitri Kececioglu,et al.  Maintainability, Availability and Operational Readiness Engineering Handbook , 1995 .

[6]  V. E. Stepanov.  On the Probability of Connectedness of a Random Graph $\mathcal{G}_m (t)$ , 1970 .

[7]  Benjamin Epstein,et al.  Mathematical Models for Systems Reliability , 2008 .

[8]  Yi-Kuei Lin,et al.  Using minimal cuts to evaluate the system reliability of a stochastic-flow network with failures at nodes and arcs , 2002, Reliab. Eng. Syst. Saf..

[9]  Igor Bazovsky,et al.  Reliability Theory and Practice , 1961 .

[10]  Nader Ebrahimi,et al.  Multistate reliability models , 1984 .

[11]  Marvin Zelen,et al.  Mathematical Theory of Reliability , 1965 .

[12]  Gregory Levitin,et al.  The Universal Generating Function in Reliability Analysis and Optimization , 2005 .

[13]  H. Mills,et al.  Reliability: Management, Methods, and Mathematics , 1963 .

[14]  Richard E. Barlow,et al.  Coherent Systems with Multi-State Components , 1978, Math. Oper. Res..

[15]  Igor Ushakov.  Counter-terrorism: protection resources allocation , 2006 .

[16]  Richard E. Barlow,et al.  Engineering reliability , 1987 .

[17]  Kailash C. Kapur,et al.  Reliability in engineering design , 1977 .

[18]  Dimitri Kececioglu,et al.  Reliability engineering handbook , 1991 .

[19]  Gregory Levitin,et al.  Importance of protections against intentional attacks , 2008, Reliab. Eng. Syst. Saf..

[20]  Yuan-Shun Dai,et al.  Computing systems reliability - models and analysis , 2004 .

[21]  Patrick D.T. O'Connor,et al.  The Reliability Handbook , 1983 .

[22]  Xue Janan,et al.  On Multistate System Analysis , 1985, IEEE Transactions on Reliability.

[23]  Antoine Rauzy.  Mathematical foundations of minimal cutsets , 2001, IEEE Trans. Reliab..

[24]  W. Griffith.  MULTISTATE RELIABILITY MODELS , 1980 .

[25]  Krishna B. Misra.  System Survivability and Defense against External Impacts , 2009 .

[26]  Gregory Levitin,et al.  Defence and attack of systems with variable attacker system structure detection probability , 2010, J. Oper. Res. Soc..

[27]  M. Lomonosov.  On Monte Carlo Estimates in Network Reliability , 1994, Probability in the Engineering and Informational Sciences.

[28]  Igor Ushakov,et al.  Reliability Measure Based on Average Loss of Capacity , 2002 .

[29]  Boris Vladimirovič Gnedenko,et al.  Mathematical methods in the reliability theory , 1969 .

[30]  Krzysztof Kołowrocki.  Reliability of Large Systems , 2004 .

[31]  Anatoliĭ Mikhaĭlovich Polovko.  Fundamentals of Reliability Theory , 1985 .

[32]  Gregory Levitin,et al.  A universal generating function approach for the analysis of multi-state systems with dependent elements , 2004, Reliab. Eng. Syst. Saf..

[33]  Alessandro Birolini,et al.  On the Use of Stochastic Processes in Modeling Reliability Problems , 1985 .

[34]  Gregory Levitin.  Protection Survivability Importance in Systems with Multilevel Protection , 2004 .

[35]  Chong-Hyung Lee.  Reliability Analysis of Multistate Systems with Multistate Components , 2007 .

[36]  Roy Billinton,et al.  A novel approach to determine minimal tie-sets of complex network , 2004, IEEE Transactions on Reliability.

[37]  Igor Ushakov,et al.  The method of generalized generating sequences , 2000, Eur. J. Oper. Res..

[38]  Van Gelder.  METHODS FOR RISK ANALYSIS IN DISASTER REDUCTION , 2008 .

[39]  T. Aven.  On performance measures for multistate monotone systems , 1993 .

[40]  Gregory Levitin,et al.  Multi-state System Reliability Analysis and Optimization (Universal Generating Function and Genetic Algorithm Approach) , 2003 .

[41]  Paul Rook,et al.  Software Reliability Handbook , 1990 .

[42]  Bent Natvig,et al.  Multistate reliability theory—a case study , 1986, Advances in Applied Probability.

[43]  Krishna B. Misra,et al.  Handbook of Performability Engineering , 2008 .

[44]  Xue Janan,et al.  New approach for multistate systems analysis , 1985 .

[45]  Michael N. Fardis,et al.  Analysis of Coherent Multistate Systems , 1981, IEEE Transactions on Reliability.

[46]  Gregory Levitin,et al.  Survivability of systems under multiple factor impact , 2007, Reliab. Eng. Syst. Saf..

[47]  Terje Aven,et al.  Reliability Evaluation of Multistate Systems with Multistate Components , 1985, IEEE Transactions on Reliability.

[48]  Gregory Levitin,et al.  Importance and sensitivity analysis of multi-state systems using the universal generating function method , 1999 .

[49]  Kailash C. Kapur,et al.  Reliability Analysis for Multistate Systems with Multistate Components , 1983 .

[50]  Yi Ding,et al.  Fuzzy universal generating functions for multi-state system reliability assessment , 2008, Fuzzy Sets Syst..

[51]  Michael N. Fardis,et al.  Multistate reliability analysis , 1982 .

[52]  Igor A. Ushakov,et al.  Sensitivity analysis of optimal counterterrorism resources allocation under subjective expert estimates , 2007 .

[53]  Necip Doganaksoy,et al.  Handbook of Reliability Engineering , 1994 .

[54]  Richard E. Barlow,et al.  Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .

[55]  Myron Lipow,et al.  Reliability: Management, Methods, and Mathematics , 1977 .

[56]  T. Nishida,et al.  On Multistate Coherent Systems , 1984, IEEE Transactions on Reliability.

[57]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[58]  Igor A. Ushakov.  Reliability Analysis of Multistate Systems by Means of a Modified Generating Function , 1988, J. Inf. Process. Cybern..

[59]  Gregory Levitin,et al.  RELIABILITY OF MULTI-STATE SYSTEMS: A HISTORICAL OVERVIEW , 2003 .

[60]  Rudolph Frederick Stapelberg,et al.  Handbook of Reliability, Availability, Maintainability and Safety in Engineering Design , 2009 .

[61]  Robert G. Easterling.  Reliability Mathematics: Fundamentals, Practices; Procedures , 1971 .

[62]  Michael Pecht,et al.  Product Reliability, Maintainability, and Supportability Handbook , 1995 .