Dr. Mark Lewis

Personal

Prefix: Dr.
First Name: Mark
Last Name: Lewis

Education

College: Eckerd College
Degree: B.S.
Graduation Year: 1992

Degree: M.S.
Graduation Year: 1995

Degree: Ph.D.
Graduation Year: 1998

Summary

Area of degree: Stochastic Dynamic Programming

Biography

Assistant Professor University of Michigan

Professor Lewis was hired as an Assistant Professor by the University of Michigan in 1999. His research interests include decision-making under uncertainty when the objective is a non-standard objective function. This leads to extensions of basic ideas in Markov decision processes and applied probability. Applications of such research include optimal admission, pricing, and control of queueing and inventory systems.

ACADEMIC HONORS

  • NSF CAREER Grant DMI-0132811  (Principal Investigator ) -- Monotone Optimal Policies in Parallel Processing Networks (2002-present)
  • NSF Grant DMI-9908321 (Principal Investigator ) -- Optimal Admission and Pricing in Non-stationary Queueing Systems (1999-present)
  • Georgia Tech FACES Research Award (1st ever recipient)  (1999)
  • Runner-up INFORMS George B. Dantzig Dissertation Award (1999)
  • NSF-NATO Postdoctoral Fellow, 1998-1999

Research

Dr. Lewis' interests are in Stochastic Processes with an emphasis on queueing theory. He explained implicit discounting in bias optimality and again related it to controlled queueing systems. Most recently, he is interested in parallel processing and how resources are allocated dynamically in such systems.

 

Cooper, William L.; Henderson, Shane G.; Lewis, Mark E. Convergence of simulation-based policy iterationProbab. Engrg. Inform. Sci. 17 (2003), no. 2, 213--234.

Ahn, Hyun-soo; Duenyas, Izak; Lewis, Mark E. Optimal control of a two-stage tandem queuing system with flexible serversProbab. Engrg. Inform. Sci. 16 (2002), no. 4, 453--469.

Lewis, Mark E.; Ayhan, Hayriye; Foley, Robert D. Bias optimal admission control policies for a multiclass nonstationary queueing systemJ. Appl. Probab. 39 (2002), no. 1, 20--37.

Lewis, Mark E.; Puterman, Martin L. Bias optimalityHandbook of Markov decision processes, 89--111, Internat. Ser. Oper. Res. Management Sci., 40, Kluwer Acad. Publ., Boston, MA, 2002. 

Lewis, Mark E. Average optimal policies in a controlled queueing system with dual admission controlJ. Appl. Probab. 38 (2001), no. 2, 369--385.

Lewis, Mark E.; Puterman, Martin L. A probabilistic analysis of bias optimality in unichain Markov decision processesIEEE Trans. Automat. Control 46 (2001), no. 1, 96--100. 

Lewis, Mark E.; Puterman, Martin L. A note on bias optimality in controlled queueing systemsJ. Appl. Probab. 37 (2000), no. 1, 300--305. 

Lewis, Mark E.; Ayhan, Hayriye; Foley, Robert D. Bias optimality in a queue with admission controlProbab. Engrg. Inform. Sci. 13 (1999), no. 3, 309--327.

Hyun-soo Ahn, Izak Duenyas, and Mark E. Lewis, "The Optimal Control of a Two-Stage Tandem Queueing System with Flexible Servers", to appear in Probability in the Engineering and Informational Sciences, Vol. 4 (2002).

Jason H. Goto, Mark E. Lewis, and Martin L. Puterman, "Coffee, Tea, or ...?: A Markov Decision Process Model for Airline Meal Provisioning", 2002. To appear in Transportation Science.