Areas of Expertise
Applied Mathematics, Asymptotic Analysis, Singular Perturbation, Queueing Theory
Education
Ph.D. Mathematics
University of Illinois at Chicago
August 2010
M.S. Applied Mathematics
Nankai University, Tianjin, China
June 2004
B.S. Applied Mathematics
Nankai University, Tianjin, China
June 2001
Biography
My research interests are broadly speaking in applied mathematics and applied probability, and focus on applying the asymptotic analysis and singular perturbation techniques to analyze the behavior of random systems, such as queueing systems and queueing network.
Affiliations
American Mathematical Society
SIAM: Society for Industrial and Applied Mathematics
Publications & Presentations
1. Q. Zhen and C. Knessl, Asymptotic Expansions for the Conditional Sojourn Time Distribution in the M/M/1-PS Queue, Queueing Syst. 57 (2007) 157-168
2. Q. Zhen and C. Knessl, On Sojourn Times in the Finite Capacity M/M/1 Queue with Processor Sharing, Oper. Res. Lett. 37 (2009) 447-450.
3. Q. Zhen and C. Knessl, Asymptotic Expansions for the Sojourn Time Distribution in the M/G/1-PS Queue, Math. Meth. Oper. Res. 71 (2010) 201-244.
4. Q. Zhen and C. Knessl, On Sojourn Times in the M/M/1-PS Model Conditioned on the Number of Other Users, Appl. Math. Res. Express (AMRX) 2009 (2010) 142-167.
5. Q. Zhen, J.S.H. van Leeuwaarden and C. Knessl, On a Processor Sharing Queue That Models Balking, Math. Meth. Oper. Res. 72 (2010) 453-476.
6. Q. Zhen and C. Knessl, An Explicit Solution to the Chessboard Pebbling Problem, J. Difference Equ. Appl. 19 (2013) 201-208.
7. Q. Zhen and C. Knessl, On Spectral Properties of Finite Population Processor Shared Queues, accepted for publication, Math. Method Oper. Res. (2013).
8. Q. Zhen and C. Knessl, Asymptotic Analysis of Spectral Properties of Finite Capacity Processor Shared Queues, accepted for publication, Stud. Appl. Math. (2013).
