# zbMATH — the first resource for mathematics

## Cai, Xuan

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 Author ID: cai.xuan Published as: Cai, X.; Cai, Xuan
 Documents Indexed: 43 Publications since 1993
all top 5

#### Co-Authors

 4 single-authored 4 Wang, Chaoli 2 Kloks, Ton 1 Chan, J. M. T. 1 Chen, Zhihua 1 Deutschmann, Olaf 1 Du, Qinghui 1 Frohnapfel, Bettina 1 Goh, Chuen-Jin 1 Li, Lin 1 Li, Xiaobin 1 Liu, Hai 1 Liu, Jiehan 1 Loh, Ai-Poh 1 Lum, V. Y. S. 1 Ma, Lizhuang 1 Majumdar, Arijit 1 Marschall, Holger 1 Pagano, Nicholas J. 1 Saad, Yousef 1 Samkhaniani, Nima 1 Shen, Yang 1 Wang, Xuelei 1 Wörner, Martin 1 Wu, Yanchen 1 Yan, Yan 1 Yuan, Fuh-Gwo 1 Zheng, Yiyuan
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#### Serials

 5 European Journal of Operational Research 4 General Relativity and Gravitation 3 International Journal of Theoretical Physics 2 Information Processing Letters 2 Journal of Mathematical Physics 2 Communications in Computational Physics 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 International Journal of Control 1 International Journal of Solids and Structures 1 Journal of the Australian Mathematical Society, Series B 1 Journal of the Franklin Institute 1 Physica A 1 Automatica 1 Journal of Optimization Theory and Applications 1 Networks 1 Computers & Operations Research 1 Journal of Shanghai Jiaotong University (Chinese Edition) 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 International Journal of Robust and Nonlinear Control 1 Mathematical Problems in Engineering 1 Nonlinear Analysis. Real World Applications
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#### Fields

 12 Operations research, mathematical programming (90-XX) 10 Relativity and gravitational theory (83-XX) 9 Computer science (68-XX) 9 Systems theory; control (93-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Combinatorics (05-XX) 3 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 146 times in 5 Documents Cited by Year
A fast heuristic for the train scheduling problem. Zbl 0799.90068
Cai, X.; Goh, C. J.
1994
A genetic algorithm for scheduling staff of mixed skills under multi-criteria. Zbl 0952.90007
Cai, X.; Li, K. N.
2000
Mimimization of agreeably weighted variance in single machine systems. Zbl 0912.90172
Cai, X.
1995
Time-varying shortest path problems with constraints. Zbl 0876.05060
Cai, X.; Kloks, T.; Wong, C. K.
1997
Time-varying minimum cost flow problems. Zbl 0991.90016
Cai, X.; Sha, D.; Wong, C. K.
2001
Massive complex scalar field in the Kerr-Sen geometry: exact solution of wave equation and Hawking radiation. Zbl 1061.83032
Wu, S. Q.; Cai, X.
2003
Hawking radiation of a non-stationary Kerr-Newman black hole: Spin-rotation coupling effect. Zbl 0998.83033
Wu, S. Q.; Cai, X.
2002
Hawking radiation of Dirac particles in a variable-mass Kerr space-time. Zbl 0987.83036
Wu, S. Q.; Cai, X.
2001
Addendum: Hawking radiation of photons in a variable-mass Kerr black hole. Zbl 0998.83506
Wu, S. Q.; Cai, X.
2002
An analysis and design method for systems with structural uncertainty. Zbl 1124.93052
Cai, X.; Han, Z.; Wang, X.
2006
Scheduling about a common due date with job-dependent asymmetric earlines and tardiness penalties. Zbl 0922.90084
Cai, X.; Lum, V. Y. S.; Chan, J. M. T.
1997
Asymmetry of Hawking radiation of Dirac particles in a charged Vaidya-de Sitter black hole. Zbl 0994.83036
Wu, S. Q.; Cai, X.
2001
Hawking radiation of Dirac particles in an arbitrarily accelerating Kinnersley black hole. Zbl 1039.83021
Wu, S. Q.; Cai, X.
2002
Exact solutions to sourceless charged massive scalar field equation on Kerr-Newman background. Zbl 0964.81026
Wu, S. Q.; Cai, X.
1999
Non-existence of new quantum ergosphere effect of a Vaidya-type black hole. Zbl 1138.83342
Wu, S. Q.; Cai, X.
2001
Single machine scheduling with nonlinear lateness cost functions and fuzzy due dates. Zbl 1006.90045
Lam, S. S.; Cai, X.
2002
$$V$$-shape property for job sequences that minimize the expected completion time variance. Zbl 0947.90593
Cai, X.
1996
A discrete simulation of tumor growth concerning nutrient influence. Zbl 1053.92026
Sun, L.; Chang, Y. F.; Cai, X.
2004
Four quantum conservation laws for black hole stationary equilibrium radiation processes. Zbl 0970.83024
Wu, S. Q.; Cai, X.
2000
Linear kernelizations for restricted 3-Hitting Set problems. Zbl 1209.68271
Cai, Xuan
2009
Variance minimization — relationship between completion-time variance and waiting-time variance. Zbl 0858.90082
Zhou, S.; Cai, X.
1996
Distributed adaptive output feedback tracking control for a class of uncertain nonlinear multi-agent systems. Zbl 1358.93019
Wang, Gang; Wang, Chaoli; Yan, Yan; Li, Lin; Cai, Xuan
2017
Continuous opinion dynamics in complex networks. Zbl 1364.91126
Guo, L.; Cai, X.
2009
Distributed adaptive output consensus control of second-order systems containing unknown non-linear control gains. Zbl 1346.93040
Wang, Gang; Wang, Chaoli; Du, Qinghui; Cai, Xuan
2016
Adaptive finite-time practical consensus protocols for second-order multiagent systems with nonsymmetric input dead zone and uncertain dynamics. Zbl 1411.93014
Liu, Jiehan; Wang, Chaoli; Li, Xiaobin; Cai, Xuan
2019
Hawking radiation of photons in a Vaidya–de Sitter black hole. Zbl 0995.83041
Wu, S. Q.; Cai, X.
2002
Elastic moduli of brittle matrix composites with interfacial debonding. Zbl 0947.74548
Yuan, F. G.; Pagano, N. J.; Cai, X.
1997
Distance measures of fuzzy numbers. Zbl 0924.04003
Lam, S. S.; Cai, X.
1999
A solvable case of the variance minimization problem. Zbl 0813.90059
Cai, X.
1993
Consensus control of output-constrained multiagent systems with unknown control directions under a directed graph. Zbl 1465.93204
Wang, Gang; Wang, Chaoli; Cai, Xuan
2020
Consensus control of output-constrained multiagent systems with unknown control directions under a directed graph. Zbl 1465.93204
Wang, Gang; Wang, Chaoli; Cai, Xuan
2020
Adaptive finite-time practical consensus protocols for second-order multiagent systems with nonsymmetric input dead zone and uncertain dynamics. Zbl 1411.93014
Liu, Jiehan; Wang, Chaoli; Li, Xiaobin; Cai, Xuan
2019
Distributed adaptive output feedback tracking control for a class of uncertain nonlinear multi-agent systems. Zbl 1358.93019
Wang, Gang; Wang, Chaoli; Yan, Yan; Li, Lin; Cai, Xuan
2017
Distributed adaptive output consensus control of second-order systems containing unknown non-linear control gains. Zbl 1346.93040
Wang, Gang; Wang, Chaoli; Du, Qinghui; Cai, Xuan
2016
Linear kernelizations for restricted 3-Hitting Set problems. Zbl 1209.68271
Cai, Xuan
2009
Continuous opinion dynamics in complex networks. Zbl 1364.91126
Guo, L.; Cai, X.
2009
An analysis and design method for systems with structural uncertainty. Zbl 1124.93052
Cai, X.; Han, Z.; Wang, X.
2006
A discrete simulation of tumor growth concerning nutrient influence. Zbl 1053.92026
Sun, L.; Chang, Y. F.; Cai, X.
2004
Massive complex scalar field in the Kerr-Sen geometry: exact solution of wave equation and Hawking radiation. Zbl 1061.83032
Wu, S. Q.; Cai, X.
2003
Hawking radiation of a non-stationary Kerr-Newman black hole: Spin-rotation coupling effect. Zbl 0998.83033
Wu, S. Q.; Cai, X.
2002
Addendum: Hawking radiation of photons in a variable-mass Kerr black hole. Zbl 0998.83506
Wu, S. Q.; Cai, X.
2002
Hawking radiation of Dirac particles in an arbitrarily accelerating Kinnersley black hole. Zbl 1039.83021
Wu, S. Q.; Cai, X.
2002
Single machine scheduling with nonlinear lateness cost functions and fuzzy due dates. Zbl 1006.90045
Lam, S. S.; Cai, X.
2002
Hawking radiation of photons in a Vaidya–de Sitter black hole. Zbl 0995.83041
Wu, S. Q.; Cai, X.
2002
Time-varying minimum cost flow problems. Zbl 0991.90016
Cai, X.; Sha, D.; Wong, C. K.
2001
Hawking radiation of Dirac particles in a variable-mass Kerr space-time. Zbl 0987.83036
Wu, S. Q.; Cai, X.
2001
Asymmetry of Hawking radiation of Dirac particles in a charged Vaidya-de Sitter black hole. Zbl 0994.83036
Wu, S. Q.; Cai, X.
2001
Non-existence of new quantum ergosphere effect of a Vaidya-type black hole. Zbl 1138.83342
Wu, S. Q.; Cai, X.
2001
A genetic algorithm for scheduling staff of mixed skills under multi-criteria. Zbl 0952.90007
Cai, X.; Li, K. N.
2000
Four quantum conservation laws for black hole stationary equilibrium radiation processes. Zbl 0970.83024
Wu, S. Q.; Cai, X.
2000
Exact solutions to sourceless charged massive scalar field equation on Kerr-Newman background. Zbl 0964.81026
Wu, S. Q.; Cai, X.
1999
Distance measures of fuzzy numbers. Zbl 0924.04003
Lam, S. S.; Cai, X.
1999
Time-varying shortest path problems with constraints. Zbl 0876.05060
Cai, X.; Kloks, T.; Wong, C. K.
1997
Scheduling about a common due date with job-dependent asymmetric earlines and tardiness penalties. Zbl 0922.90084
Cai, X.; Lum, V. Y. S.; Chan, J. M. T.
1997
Elastic moduli of brittle matrix composites with interfacial debonding. Zbl 0947.74548
Yuan, F. G.; Pagano, N. J.; Cai, X.
1997
$$V$$-shape property for job sequences that minimize the expected completion time variance. Zbl 0947.90593
Cai, X.
1996
Variance minimization — relationship between completion-time variance and waiting-time variance. Zbl 0858.90082
Zhou, S.; Cai, X.
1996
Mimimization of agreeably weighted variance in single machine systems. Zbl 0912.90172
Cai, X.
1995
A fast heuristic for the train scheduling problem. Zbl 0799.90068
Cai, X.; Goh, C. J.
1994
A solvable case of the variance minimization problem. Zbl 0813.90059
Cai, X.
1993
all top 5

#### Cited by 16 Authors

 1 Akbariyan, Majid 1 Chen, Xiandong 1 Cui, Yukang 1 Fan, Debao 1 Gong, Xin 1 Kanj, Iyad A. 1 Li, Lin 1 Liu, Jason J. R. 1 Liu, Shuai 1 Pariz, Naser 1 Shahvali, Milad 1 Wang, Chaoli 1 Wang, Yamin 1 Zhang, Fenghui 1 Zhang, Xianfu 1 Zhang, Zhihua

#### Cited in 3 Serials

 3 Journal of the Franklin Institute 1 Nonlinear Dynamics 1 Discrete Mathematics, Algorithms and Applications

#### Cited in 4 Fields

 4 Systems theory; control (93-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Information and communication theory, circuits (94-XX)