Qi-Ming He

Qi-Ming He

Contact information

Phone: 519-888-4567 x35907
Location: CPH 4325



Biography summary

Qi-Ming He is a Professor in the Management Sciences department at the University of Waterloo.

Dr. He’s research interests are in the areas of operations research, management sciences, applied probability and matrix analytic methods. His current research, funded by the Natural Sciences and Engineering Research Council of Canada (NSERC), focuses on representations of phase-type distributions; the design of queueing systems with multiple types of customers; and the design of inventory systems with multiple-item demands. He has published dozens of articles with a various collection of journals. In 2013, he wrote the book “Fundamentals of Matrix-Analytic Methods”, and explored the basics of Matrix-Analytic Method techniques, stochastic modeling, and Markov chains.

Dr. He is a member of the Institute for Operations Research and the Management Sciences (INFORMS), and the Canadian Operational Research Society (CORS). He is also the Conference Co-Chair for the International Conference on Matrix-Analytic Methods in Stochastic Models (2008 and 2016), and the conference Co-Organizer for the Annual conference for Canadian Queueing Theorists and Practitioners (2007 and 2013).

Research interests

  • Operations Research
  • Management Sciences
  • Applied Probability
  • Matrix analytic methods
  • Data Analytics Research


  • 1996, Doctorate, Operations Research & Management Science, University of Waterloo
  • 1989, Doctorate, Operations Research and Control Theory, Institute of Applied mathematics, Chinese Academy of Sciences, P.R. China
  • 1984, Bachelor's, Computer and Communication Engineering, China University of Science and Technology


  • MSCI 253 - Probability and Statistics 2
    • Taught in 2023
  • MSCI 271 - Advanced Calculus and Numerical Methods
    • Taught in 2022
  • MSCI 435 - Advanced Optimization Techniques
    • Taught in 2020
  • MSCI 609 - Quantitative Data Analysis for Management Sciences
    • Taught in 2022
  • MSCI 631 - Probabilistic Models in Operations Research
    • Taught in 2019, 2020, 2021
  • MSCI 709 - Logistics and Supply Chain Management
    • Taught in 2020

* Only courses taught in the past 5 years are displayed.

Selected/recent publications

  • He, Qi-Ming, Gabor Horvath, Illes Horvath, Miklos Telek (2019) Moment bounds of PH distributions with infinite or finite support based on the steepest increase property. Advances in Applied Probability , Vol 51, 168-183.
  • He, Qi-Ming and Attahiru Sule Alfa (2018). Space Reduction for a Class of Multi-dimensional Markov Chains: A Summary and Some Applications. INFORMS Journal on Computing, Vol 30 (1), 1-10.
  • Chao, Xiuli and He, Qi-Ming and Ross, Sheldon and others, Tollbooth tandem queues with infinite homogeneous servers, Journal of Applied Probability, 52(4), 2015, 941 - 961
  • He, Qi-Ming and Alfa, Attahiru Sule, Construction of Markov chains for discrete time MAP/PH/K queues, Performance Evaluation, 93, 2015, 17 - 26
  • He, Qi-Ming and Ren, Jiandong, Parameter Estimation of Discrete Multivariate Phase-Type Distributions, Methodology and Computing in Applied Probability, 2015, 1 - 23
  • He, Qi-Ming, Hanqin Zhang, and Juan Vera (2012), On Some Properties of Bivariate Exponential Distributions, Stochastic Models, Vol 28, 187-206.
  • He, Qi-Ming and Zhang, Hanqin and Xue, Jungong, Algorithms for coxianization of phase-type generators, INFORMS Journal on Computing, 23(1), 2011, 153 - 164
  • He, Qi-Ming and Zhang, Hanqin, Spectral polynomial algorithms for computing bi-diagonal representations for phase type distributions and matrix-exponential distributions, Stochastic Models, 22(2), 2006, 289 - 317
  • He, Qi-Ming, A fixed point approach to the classification of Markov chains with a tree structure, Stochastic Models, 19(1), 2003, 76 - 114
  • Gerchak, Yigal and Qi-Ming He (2003), On the relation between the benefits of risk pooling and the variability of demand, IIE Transaction , Vol 35 (11), 1027-1031.
  • He, Q-M and Jewkes, Elizabeth M and Buzacott, J, Optimal and near-optimal inventory control policies for a make-to-order inventory--production system, European Journal of Operational Research, 141(1), 2002, 113 - 132
  • He, Qi-Ming (1996), Queues with marked customers, Adv. Appl. Prob., Vol. 28, 567-587.

Graduate studies