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Gertsbakh, Ilya B.

Co-Author Distance
Author ID: gertsbakh.ilya-b Recent zbMATH articles by "Gertsbakh, Ilya B."
Published as: Gertsbakh, Ilya; Gertsbakh, I. B.; Gertsbakh, Ilya B.; Gertsbakh, I.
External Links: ORCID
Documents Indexed: 51 Publications since 1963, including 6 Books
Co-Authors: 16 Co-Authors with 23 Joint Publications
409 Co-Co-Authors
all top 5

Co-Authors

18 single-authored
9 Shpungin, Yoseph
6 Elperin, Tov
5 Vaisman, Radislav
3 Kordonskij, Kh. B.
2 Cahlon, Baruch
2 Friedman, Lea
2 Schochetman, Irwin E.
2 Spizzichino, Fabio L.
1 Andronov, Alexander M.
1 Bronshtein, Oscar
1 Drozdov, Aleksey D.
1 Finkelstein, Maxim
1 Kagan, Abram Meerovich
1 Neuman, Eyal
1 Pittel, Boris G.
1 Rubinstein, Reuven Y.
1 Shahaf, S.
1 Shillor, Meir
1 Shpungin, I.
1 Stern, Helman I.
1 Strichman, Ofer
all top 5

Serials

4 Communications in Statistics. Theory and Methods
4 Probability in the Engineering and Informational Sciences
3 Advances in Applied Probability
3 IEEE Transactions on Reliability
3 Journal of Applied Probability
3 Statistics & Probability Letters
3 European Journal of Operational Research
2 Journal of the American Statistical Association
2 Communications in Statistics. Stochastic Models
2 Communications in Statistics. Simulation and Computation
2 Applied Stochastic Models in Business and Industry
1 International Journal of Mechanical Sciences
1 Journal of Mathematical Analysis and Applications
1 Avtomatika i Vychislitel ’naya Tekhnika
1 Theory of Probability and its Applications
1 Journal of the Operational Research Society
1 Journal of Statistical Planning and Inference
1 Operations Research
1 Performance Evaluation
1 Mathematical and Computer Modelling
1 Lifetime Data Analysis
1 INFORMS Journal on Computing
1 Stochastic Models
1 Probability: Pure and Applied
1 Studies in Mathematical and Managerial Economics
1 Izvestiya Akademii Nauk Latviĭskoĭ SSR
1 SpringerBriefs in Electrical and Computer Engineering
all top 5

Fields

25 Statistics (62-XX)
24 Operations research, mathematical programming (90-XX)
17 Probability theory and stochastic processes (60-XX)
6 Numerical analysis (65-XX)
3 Combinatorics (05-XX)
3 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 General topology (54-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

40 Publications have been cited 297 times in 248 Documents Cited by ▼ Year ▼
Reliability theory. With applications to preventive maintenance. Zbl 0959.62088
Gertsbakh, I. B.
44
2000
Statistical reliability theory. Zbl 0684.62071
Gertsbakh, I. B.
34
1989
Asymptotic methods in reliability theory: A review. Zbl 0528.60085
Gertsbakh, I. B.
33
1984
Combinatorial approach to Monte Carlo estimation of network lifetime distribution. Zbl 1051.60089
Gertsbakh, I.; Shpungin, Y.
26
2004
Signatures of coherent systems built with separate modules. Zbl 1230.60096
Gertsbakh, Ilya; Shpungin, Yoseph; Spizzichino, Fabio
24
2011
Models of network reliability. Analysis, combinatorics, and Monte Carlo. Zbl 1200.62128
Gertsbakh, Ilya B.; Shpungin, Yoseph
23
2010
Minimal resources for fixed and variable job schedules. Zbl 0371.90058
Gertsbakh, Ilya; Stern, Helman I.
22
1978
Models of preventive maintenance. Translation. Zbl 0349.90055
Gertsbakh, I. B.
20
1977
The shorter queue problem: A numerical study using the matrix-geometric solution. Zbl 0546.90036
Gertsbakh, Ilya
19
1984
Estimation of network reliability using graph evolution models. Zbl 0739.90023
Elperin, T.; Gertsbakh, I.; Lomonosov, M.
19
1991
Two-dimensional signatures. Zbl 1242.90070
Gertsbakh, Ilya; Shpungin, Yoseph; Spizzichino, Fabio
19
2012
On the Fisher information in type-I censored and quantal response data. Zbl 0830.62088
Gertsbakh, I.
15
1995
Multiple time scales and the lifetime coefficient of variation: Engineering applications. Zbl 0902.62122
Kordonsky, Kh. B.; Gertsbakh, I.
14
1997
Characterization of the Weibull distribution by properties of the Fisher information under type-I censoring. Zbl 0947.62011
Gertsbakh, Ilya; Kagan, Abram
13
1999
Estimation in a random censoring model with incomplete information: Exponential lifetime distribution. Zbl 0646.62090
Elperin, T.; Gertsbakh, I.
10
1988
Epidemic process on a random graph: Some preliminary results. Zbl 0373.92032
Gertsbakh, I. B.
9
1977
Maximum likelihood estimation in a minimum-type model with exponential and Weibull failure modes. Zbl 0456.62027
Friedman, Lea; Gertsbakh, Ilya B.
8
1980
Combinatorial approach to computing component importance indexes in coherent systems. Zbl 1242.90069
Gertsbakh, Ilya B.; Shpungin, Yoseph
7
2012
Optimal group preventive maintenance of a system with observable state parameter. Zbl 0547.60085
Gertsbakh, I. B.
6
1984
Choice of the best time scale for system reliability analysis. Zbl 0776.90026
Kordonsky, Kh. B.; Gertsbakh, I. B.
4
1993
Confidence limits for highly reliable coherent systems with exponentially distributed component life. Zbl 0522.62080
Gertsbakh, I.
4
1982
Preventive maintenance of multistate systems subject to shocks. Zbl 1409.90078
Finkelstein, Maxim; Gertsbakh, Ilya
4
2016
An evolution model for Monte Carlo estimation of equilibrium network renewal parameters. Zbl 1134.90325
Elperin, T.; Gertsbakh, I.; Lomonosov, M.
3
1992
Choice of the best time scale for perventive maintenance in heterogeneous environments. Zbl 0922.90073
Gertsbakh, I.; Kordonsky, Kh. B.
3
1997
Reliability characteristics of alternative checkup schedules for detecting hidden failures. Zbl 0394.90044
Gertsbakh, I. B.
3
1978
Bayes credibility estimation of an exponential parameter for random censoring and incomplete information. Zbl 0697.62026
Elperin, T.; Gertsbakh, I.
3
1990
An open exponential queueing network with limited waiting spaces and losses: A method of approximate analysis. Zbl 0533.90038
Bronshtein, Oscar; Gertsbakh, Ilya B.
3
1984
Renewal function and interval availability: a numerical Monte-Carlo study. Zbl 1114.60317
Gertsbakh, I.; Shpungin, Y.
3
2004
Permutational methods for performance analysis of stochastic flow networks. Zbl 1302.90031
Gertsbakh, Ilya; Rubinstein, Reuven; Shpungin, Yoseph; Vaisman, Radislav
3
2014
Signatures in Markov-modulated processes. Zbl 1296.60270
Andronov, Alexander; Gertsbakh, I. B.
3
2014
D-spectrum and reliability of a binary system with ternary components. Zbl 1370.60150
Gertsbakh, Ilya B.; Shpungin, Yoseph; Vaisman, Radislav
3
2016
Ternary networks. Reliability and Monte Carlo. Zbl 1398.90005
Gertsbakh, Ilya; Shpungin, Yoseph; Vaisman, Radislav
2
2014
Lower confidence limit for the availability of a parallel system with renewable components. Zbl 0657.62116
Elperin, T.; Gertsbakh, I.
2
1988
Maximum likelihood estimation in a Weibull regression model with type-1 censoring: A Monte Carlo study. Zbl 0621.62033
Elperin, T.; Gertsbakh, I.
2
1987
Monte Carlo for estimating exponential convolution. Zbl 1474.65006
Gertsbakh, Ilya; Neuman, Eyal; Vaisman, Radislav
2
2015
A model for the convective cooling of electronic components with application to optimal placement. Zbl 0716.90071
Cahlon, B.; Gertsbakh, I.; Schochetman, I. E.; Shillor, M.
1
1991
Optimal allocation of test positions and testing time in a factorial life testing experiment. Zbl 0843.62075
Gertsbakh, I.
1
1996
Measurement theory for engineers. Zbl 1018.62109
Gertsbakh, Ilya
1
2003
Parameter estimations in a minimum-type scheme. Zbl 0453.62025
Friedman, L.; Gertsbakh, I.
1
1981
Optimal dynamic opportunistic replacement with random resupply of spare parts. Zbl 0673.90045
Gertsbakh, I.
1
1989
Preventive maintenance of multistate systems subject to shocks. Zbl 1409.90078
Finkelstein, Maxim; Gertsbakh, Ilya
4
2016
D-spectrum and reliability of a binary system with ternary components. Zbl 1370.60150
Gertsbakh, Ilya B.; Shpungin, Yoseph; Vaisman, Radislav
3
2016
Monte Carlo for estimating exponential convolution. Zbl 1474.65006
Gertsbakh, Ilya; Neuman, Eyal; Vaisman, Radislav
2
2015
Permutational methods for performance analysis of stochastic flow networks. Zbl 1302.90031
Gertsbakh, Ilya; Rubinstein, Reuven; Shpungin, Yoseph; Vaisman, Radislav
3
2014
Signatures in Markov-modulated processes. Zbl 1296.60270
Andronov, Alexander; Gertsbakh, I. B.
3
2014
Ternary networks. Reliability and Monte Carlo. Zbl 1398.90005
Gertsbakh, Ilya; Shpungin, Yoseph; Vaisman, Radislav
2
2014
Two-dimensional signatures. Zbl 1242.90070
Gertsbakh, Ilya; Shpungin, Yoseph; Spizzichino, Fabio
19
2012
Combinatorial approach to computing component importance indexes in coherent systems. Zbl 1242.90069
Gertsbakh, Ilya B.; Shpungin, Yoseph
7
2012
Signatures of coherent systems built with separate modules. Zbl 1230.60096
Gertsbakh, Ilya; Shpungin, Yoseph; Spizzichino, Fabio
24
2011
Models of network reliability. Analysis, combinatorics, and Monte Carlo. Zbl 1200.62128
Gertsbakh, Ilya B.; Shpungin, Yoseph
23
2010
Combinatorial approach to Monte Carlo estimation of network lifetime distribution. Zbl 1051.60089
Gertsbakh, I.; Shpungin, Y.
26
2004
Renewal function and interval availability: a numerical Monte-Carlo study. Zbl 1114.60317
Gertsbakh, I.; Shpungin, Y.
3
2004
Measurement theory for engineers. Zbl 1018.62109
Gertsbakh, Ilya
1
2003
Reliability theory. With applications to preventive maintenance. Zbl 0959.62088
Gertsbakh, I. B.
44
2000
Characterization of the Weibull distribution by properties of the Fisher information under type-I censoring. Zbl 0947.62011
Gertsbakh, Ilya; Kagan, Abram
13
1999
Multiple time scales and the lifetime coefficient of variation: Engineering applications. Zbl 0902.62122
Kordonsky, Kh. B.; Gertsbakh, I.
14
1997
Choice of the best time scale for perventive maintenance in heterogeneous environments. Zbl 0922.90073
Gertsbakh, I.; Kordonsky, Kh. B.
3
1997
Optimal allocation of test positions and testing time in a factorial life testing experiment. Zbl 0843.62075
Gertsbakh, I.
1
1996
On the Fisher information in type-I censored and quantal response data. Zbl 0830.62088
Gertsbakh, I.
15
1995
Choice of the best time scale for system reliability analysis. Zbl 0776.90026
Kordonsky, Kh. B.; Gertsbakh, I. B.
4
1993
An evolution model for Monte Carlo estimation of equilibrium network renewal parameters. Zbl 1134.90325
Elperin, T.; Gertsbakh, I.; Lomonosov, M.
3
1992
Estimation of network reliability using graph evolution models. Zbl 0739.90023
Elperin, T.; Gertsbakh, I.; Lomonosov, M.
19
1991
A model for the convective cooling of electronic components with application to optimal placement. Zbl 0716.90071
Cahlon, B.; Gertsbakh, I.; Schochetman, I. E.; Shillor, M.
1
1991
Bayes credibility estimation of an exponential parameter for random censoring and incomplete information. Zbl 0697.62026
Elperin, T.; Gertsbakh, I.
3
1990
Statistical reliability theory. Zbl 0684.62071
Gertsbakh, I. B.
34
1989
Optimal dynamic opportunistic replacement with random resupply of spare parts. Zbl 0673.90045
Gertsbakh, I.
1
1989
Estimation in a random censoring model with incomplete information: Exponential lifetime distribution. Zbl 0646.62090
Elperin, T.; Gertsbakh, I.
10
1988
Lower confidence limit for the availability of a parallel system with renewable components. Zbl 0657.62116
Elperin, T.; Gertsbakh, I.
2
1988
Maximum likelihood estimation in a Weibull regression model with type-1 censoring: A Monte Carlo study. Zbl 0621.62033
Elperin, T.; Gertsbakh, I.
2
1987
Asymptotic methods in reliability theory: A review. Zbl 0528.60085
Gertsbakh, I. B.
33
1984
The shorter queue problem: A numerical study using the matrix-geometric solution. Zbl 0546.90036
Gertsbakh, Ilya
19
1984
Optimal group preventive maintenance of a system with observable state parameter. Zbl 0547.60085
Gertsbakh, I. B.
6
1984
An open exponential queueing network with limited waiting spaces and losses: A method of approximate analysis. Zbl 0533.90038
Bronshtein, Oscar; Gertsbakh, Ilya B.
3
1984
Confidence limits for highly reliable coherent systems with exponentially distributed component life. Zbl 0522.62080
Gertsbakh, I.
4
1982
Parameter estimations in a minimum-type scheme. Zbl 0453.62025
Friedman, L.; Gertsbakh, I.
1
1981
Maximum likelihood estimation in a minimum-type model with exponential and Weibull failure modes. Zbl 0456.62027
Friedman, Lea; Gertsbakh, Ilya B.
8
1980
Minimal resources for fixed and variable job schedules. Zbl 0371.90058
Gertsbakh, Ilya; Stern, Helman I.
22
1978
Reliability characteristics of alternative checkup schedules for detecting hidden failures. Zbl 0394.90044
Gertsbakh, I. B.
3
1978
Models of preventive maintenance. Translation. Zbl 0349.90055
Gertsbakh, I. B.
20
1977
Epidemic process on a random graph: Some preliminary results. Zbl 0373.92032
Gertsbakh, I. B.
9
1977
all cited Publications top 5 cited Publications
all top 5

Cited by 354 Authors

16 Balakrishnan, Narayanaswamy
12 Asadi, Majid
8 Andronov, Alexander M.
8 Gertsbakh, Ilya B.
8 Yi, He
7 Vanderperre, Edmond J.
6 Cha, Ji Hwan
6 Finkelstein, Maxim
6 Sztrik, János
6 Zarezadeh, Somayeh
5 Shpungin, Yoseph
5 Tuffin, Bruno
4 Ashrafi, Somayeh
4 Cui, Lirong
4 Eryılmaz, Serkan N.
4 L’Ecuyer, Pierre
4 Spizzichino, Fabio L.
4 Vaisman, Radislav
4 Zheng, Gang
3 Adan, Ivo J. B. F.
3 Altınel, İsmail Kuban
3 Bon, Jean-Louis
3 Brown, Mark
3 Da, Gaofeng
3 Hashemi, Marzieh
3 Jaworski, Jerzy
3 Kovalenko, Igor Mykolaĭovych
3 Kozubowski, Tomasz J.
3 Kuznetsov, N. Yu.
3 Marichal, Jean-Luc
3 Navarro, Jorge
3 Stoĭkova, L. S.
3 Teunter, Ruud H.
3 Theilliol, Didier
3 Vishnevsky, Vladimir M.
3 Weber, Philippe
3 Willmot, Gordon E.
3 Yu, Qiqing
2 Ahmadi, Jafar
2 Aydoğdu, Halil
2 Ball, Frank G.
2 Botev, Zdravko I.
2 Bunday, Brian D.
2 Cancela, Héctor
2 Chan, Ping-Shing
2 Diamond, Phil
2 Gordienko, Evgueni I.
2 Hansen, Jennie C.
2 Hofmann, Glenn
2 Hu, Taizhong
2 Jensen, Uwe
2 Kakubava, Revaz
2 Kapodistria, Stella
2 Khelassi, Ahmed
2 Kloeden, Peter Eris
2 Knessl, Charles
2 Levitin, Gregory
2 Makhanov, Stanislav S.
2 Mathonet, Pierre
2 Mohammadi, Leila
2 Mohan, N. R.
2 Mukhopadhyay, Chiranjit
2 Nejjari, Fatiha
2 Ogura, Masaki
2 Olde Keizer, Minou C. A.
2 Park, Sangun
2 Perez Canto, Salvador
2 Pokrovskiĭ, Alexeĭ Vadimovich
2 Prangishvili, Archil Ivery
2 Qin, Hao
2 Ravi, Sreenivasan
2 Robledo, Franco
2 Romero, Pablo
2 Salazar, Jean Carlo
2 Samaniego, Francisco J.
2 Sarrate, Ramon
2 Stadje, Wolfgang
2 van der Heijden, Matthieu C.
2 Veldman, Jasper
2 Wang, Jiaping
2 Wessels, Jaap
2 Yao, Haishen
2 Yoo, Young K.
2 Zijm, W. Henk M.
1 Abdel-Hameed, Mohamed S.
1 Altındaǧ, Ömer
1 Altschuler, Jason M.
1 Anisimov, Vladimir Vladislavovič
1 Arghami, Nasser Reza
1 Arif, Osama H.
1 Arriaza, Antonio
1 Arsik, I.
1 Ashayeri, Jalal
1 Atisattapong, Wanyok
1 Aubrun, Christophe
1 Aven, Terje
1 Badía, Francisco German
1 Bal, Deepak
1 Baratpour, Simin
1 Basten, Rob J. I.
...and 254 more Authors
all top 5

Cited in 77 Serials

30 European Journal of Operational Research
14 Journal of Applied Probability
14 Probability in the Engineering and Informational Sciences
11 Statistics & Probability Letters
10 Communications in Statistics. Theory and Methods
10 Methodology and Computing in Applied Probability
9 Applied Stochastic Models in Business and Industry
8 Cybernetics and Systems Analysis
7 Journal of Statistical Planning and Inference
7 Queueing Systems
6 Annals of Operations Research
6 Communications in Statistics. Simulation and Computation
5 Operations Research Letters
4 Insurance Mathematics & Economics
4 Computers & Operations Research
4 Journal of Mathematical Sciences (New York)
4 International Journal of Applied Mathematics and Computer Science
4 Stochastic Models
3 Advances in Applied Probability
3 Metrika
3 Naval Research Logistics
3 Mathematical Methods of Operations Research
2 Computer Physics Communications
2 International Journal of Systems Science
2 Journal of Mathematical Analysis and Applications
2 Mathematical Biosciences
2 Journal of Computational and Applied Mathematics
2 OR Spektrum
2 Mathematical and Computer Modelling
2 Applied Mathematical Modelling
2 Journal of Statistical Computation and Simulation
2 Computational Statistics and Data Analysis
2 Top
2 Lifetime Data Analysis
2 ACM Transactions on Modeling and Computer Simulation
2 Mathematical Problems in Engineering
2 Bulletin of the Georgian National Academy of Sciences. New Series
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 The American Statistician
1 Computers & Mathematics with Applications
1 Journal of Statistical Physics
1 Mathematical Notes
1 Physica A
1 Psychometrika
1 Annals of the Institute of Statistical Mathematics
1 Applied Mathematics and Computation
1 Automatica
1 Biometrical Journal
1 Fuzzy Sets and Systems
1 Journal of Graph Theory
1 Journal of Multivariate Analysis
1 Kybernetika
1 Scandinavian Actuarial Journal
1 Systems & Control Letters
1 Stochastic Analysis and Applications
1 International Journal of Production Research
1 Physica D
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Journal of Applied Mathematics and Stochastic Analysis
1 Automation and Remote Control
1 Mathematical Programming. Series A. Series B
1 Test
1 The Electronic Journal of Combinatorics
1 International Transactions in Operational Research
1 INFORMS Journal on Computing
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Mathematical and Computer Modelling of Dynamical Systems
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Optimization and Engineering
1 Scandinavian Actuarial Journal
1 Naval Research Logistics Quarterly
1 Mathematics in Computer Science
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Statistical Theory and Practice
1 Statistics and Computing
1 Croatian Operational Research Review (CRORR)
all top 5

Cited in 23 Fields

131 Operations research, mathematical programming (90-XX)
117 Probability theory and stochastic processes (60-XX)
100 Statistics (62-XX)
23 Numerical analysis (65-XX)
15 Systems theory; control (93-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Computer science (68-XX)
8 Combinatorics (05-XX)
8 Information and communication theory, circuits (94-XX)
3 Biology and other natural sciences (92-XX)
2 Partial differential equations (35-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)

Citations by Year