ME/IE 8773-8774
INDUSTRIAL ENGINEERING SERIES (1130 ME)
Topic: Industrial Engineering
Host: Diwakar Gupta
Stochastic Dynamic Optimization with Model
Uncertainty and Learning
by
J. George Shanthikumar
Department of Industrial Engineering and Operations
Research
University of California at Berkeley
Berkeley, CA 94720-1777
Wednesday, April 27, 2005
3:30-5:00 p.m.
Room 1130 ME
Coffee and cookies will be available at 3:15 p.m. in Room 1130 ME
before the seminar
Abstract:
In decision and control in operations research (OR), one may formulate
a deterministic optimization model and solve it. For example in inventory
control or production planning, it is not uncommon in the past to
assume that the demand is known in advance. In many situations, however,
only an estimate of the demand may be known, but the actual demand
will be unknown. Hence, one of the recent emphasis in OR has been
to formulate stochastic models for these problems. Almost all such
models assume that the full probabilistic characterization of the
models will be known at the time of implementing the solution. However,
in reality, only an estimate, not the true probabilistic characterization
will be known. In this talk we will demonstrate that such an assumption
may lead to inefficient solution to the real problem. Hence, we will
formulate decision and control problems under uncertainty by a collection
of models (that is, a model with model uncertainty) and solve it to
obtain robust solutions. Specifically, we will develop min-max robust
formulations to revenue management and inventory control problems.
The relationship between this robust formulation and exponential utility
will be established. Alternative objectives, such as min-max-regret,
competitive ratio, etc., for other possible robust solutions will
be discussed as well. Notions of learning under model uncertainty
will be discussed and compared to reinforcement learning and statistical
learning. This is a joint work with members of the Berkeley IEOR Group
on Model Uncertainty & Learning. Current group members are: Professors
Andrew E.B. Lim and J. George Shanthikumar and Students: Onur Filiz,
Ankit Jain and Thaisiri Watewai.
Bio:
J. George Shanthikumar received the B.Sc. degree in mechanical engineering
from the University of Sri Lanka, Peradeniya, and the M.A.Sc. and
Ph.D. degrees in industrial engineering from the University of Toronto,
Canada. He is Professor of Industrial Engineering and Operations Research
at the University of California, Berkeley. His research interests
are in integrated interdisciplinary decision making, production systems
modeling and analysis, queueing theory, reliability, scheduling, stochastic
processes, simulation and supply chain management. He has written
or written jointly over 250 papers on these topics. He is a coauthor
(with John A. Buzacott) of the book Stochastic Models of Manufacturing
Systems and a coauthor (with Moshe Shaked) of the book Stochastic
Orders and Their Applications. Dr. Shanthikumar received the E.O.E.
Pereira Gold Medal as the outstanding student graduating from the
College of Engineering, University of Sri Lanka. He was granted the
Canadian Commonwealth Scholarship during 1975-1979 for his studies
towards the M.A.Sc. and Ph.D. degrees at the University of Toronto.
He is (or was) a member of the editorial boards of the IEEE Transactions
on Automation Sciences and Engineering, IIE Transactions, International
Journal of Flexible Manufacturing Systems, Journal of Discrete Event
Dynamic Systems, Journal of Production and Operations Management,
Operations Research, Operations Research Letters, OPSEARCH, Probability
in the Engineering and Informational Sciences, and Queueing Systems:
Theory and Applications. Dr. Shanthikumar has extensively consulted
for various companies like IBM, NTT (Japan), Bellcore, Safeway, and
KLA-Tencor and through KLA-Tencor consulted for AMD, IBM, Intel, Motorola,
Toshiba, Fujitsu, TSMC and UMC.
Informal Faculty Luncheon:
Wednesday, April 27, 2005, 12:00 noon. Meet in 1100 ME and walk to
lunch with other faculty. Prof. Shanthikumar will be able to attend.