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Schools Mathematics and Statistics Faculty Content

Mathematics and Statistics

Liu Zaiming

Professor

Math_lzm@csu.edu.cnmailto:math_chb@csu.edu.cn

Research

Research Area:

Probability, Applied Probability  

Research Interests:

Markov processes and their application, Queuing system and network, Insurance risk theory

Contact Information

School of Mathematics and Statistics

Central South University

Changsha, Hunan, 410083

P.R.China

Math_lzm@csu.edu.cn

+86 (731) 88836006

Education

Ph.D: 1988,  Probability and Statistics, Changsha Railway University, China

B.S:  1981,  Mathematics, Hunan Normal University, China

Academic visitor: 2005-2006, Department of Statistics and Probability, Michigan State University, USA

Teaching

Calculus, Linear Algebra, Probability and Statistics, Stochastic Process, queuing theory, Levy process

Publications

Selected Publications:

Books

1.        Markov skeleton process》(Hou ZhentingLiu WanrongLiu ZaimingLiu Guoxin),Hunan Science and Technology Press, Changsha, 2000.9

2.        Birth and Death Process》(Hou ZhentingLiu ZaimingZhang HanjunLi Junping),Hunan Science and Technology Press, Changsha ,2000.5

3.        The Q-Matrix Problem for Markov Chains》(Hou ZhentingZou Jiezhong Zhang HanjunLiu Zaiming),Hunan Science and Technology Press, Changsha ,1994.9

Papers

4.        Equilibrium Mixed Strategies in a Discrete-time Markovian Queue under Multiple and Single Vacation PoliciesQuality Technology & Quantitative Management. 12 (2015), 367-380.

5.        Convergence dynamics of stochastic reaction–diffusion neural networks with impulses and memory, 26 (2015) 651-657.

6.        Pricing Analysis in Geo/Geo/1 Queueing System, Mathematical Problems in Engineering, 2015 (2015), 5 pages.

7.        Exact Tail Asymptotics for a Discrete-time Preemptive Priority Queue, Acta Mathematicae Applicatae Sinica, English Series Vol. 31, No. 1 (2015) 43–58.

8.        Asymptotic behavior of sample paths for retarded stochastic differential equations without dissipativity, Advances in Difference Equations (2015) 2015: 177-188.

9.        Frequency- and spatial-correlated noise on layered magnetotelluric inversion, Geophysical Journal International, 199 (2014) 1205-1213.

10.    An M/G/1 retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs, J. Appl. Math. Comput. 44 (2014) 187-213.

11.    Discrete-Time GI^X/Geo/1/N Queue With Working Vacations And Vacation Interruption, 31 (2014) 145-166.

12.    Dividend Problems with a Barrier Strategy in the Dual Risk Model until Bankruptcy, Journal of Applied Mathematics, 2014, Article ID 184098, 7 pages

13.    The Gerber-Shiu Expected Penalty Function for the Risk Model with Dependence and a Constant Dividend Barrier, Abstract and Applied Analysis, 2014, Article ID 730174, 7 pages

14.    Minimum distance estimation for fractional Ornstein-Uhlenbeck type process, Advances in Difference Equations 2014, 2014:137-144.

15.    Parameter Estimation for Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion, Abstract and Applied Analysis Volume 2014, Article ID 942307, 6 pages.

16.    The MX/M/1 queue with working breakdown, RAIRO - Operations Research, 48 (2014), 399-413.

17.    A Repairable GeoX /G/1 Retrial Queue with Bernoulli Feedback and Impatient Customers, Acta Mathematicae Applicatae Sinica, English Series. 30, (2014) 205-222.

18.    Geo/Geo/1 retrial queue with non-persistent customers and working vacations, Journal of Applied Mathematics and Computing, 2013

19.    A discrete-time Geo/G/1 retrial queue with preferred and impatient customers, Applied Mathematical Modelling 37 (2013)

20.    The GI/M/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption, Applied Mathe matical Modelling, 2013

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