2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
2009-2010 Bulletin â PDF - SEAS Bulletin - Columbia University
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152<br />
Current Research Activities<br />
In industrial engineering, research is<br />
conducted in the area of logistics, routing,<br />
scheduling, production and supply<br />
chain management, inventory control,<br />
revenue management, and quality control.<br />
In operations research, new developments<br />
are being explored in mathematical<br />
programming, combinatorial optimization,<br />
stochastic modeling, computational and<br />
mathematical finance, queueing theory,<br />
reliability, simulation, and both deterministic<br />
and stochastic network flows.<br />
In engineering and management systems,<br />
research is conducted in the<br />
areas of logistics, supply chain optimization,<br />
and revenue and risk management.<br />
In financial engineering, research is<br />
being carried out in portfolio management;<br />
option pricing, including exotic<br />
and real options; computational finance,<br />
such as Monte Carlo simulation and<br />
numerical methods; as well as data<br />
mining and risk management.<br />
Projects are sponsored and supported<br />
by leading private firms and government<br />
agencies. In addition, our students and<br />
faculty are involved in the work of two<br />
research and educational centers: the<br />
Center for Applied Probability (CAP), the<br />
Center for Financial Engineering (CFE),<br />
and the Computational and Optimization<br />
Research Center (CORC). These centers<br />
are supported principally by grants from<br />
the National Science Foundation.<br />
The Center for Applied Probability<br />
(CAP) is a cooperative center involving<br />
the School of Engineering and Applied<br />
Science, several departments in the<br />
Graduate School of Arts and Sciences,<br />
and the Graduate School of Business.<br />
Its interests are in four applied areas:<br />
mathematical and computational finance,<br />
stochastic networks, logistics and distribution,<br />
and population dynamics.<br />
The Center for Financial Engineering<br />
(CFE) at <strong>Columbia</strong> <strong>University</strong> encourages<br />
interdisciplinary research on financial<br />
engineering and mathematical modeling<br />
in finance and promoting collaboration<br />
between <strong>Columbia</strong> faculty and financial<br />
institutions, through the organization of<br />
research seminars, workshops, and the<br />
dissemination of research done by<br />
members of the Center.<br />
Computational Optimization<br />
Research Center (CORC) at <strong>Columbia</strong><br />
<strong>University</strong> is an interdisciplinary group of<br />
researchers from a variety of departments<br />
on the <strong>Columbia</strong> campus. Its permanent<br />
members are Professors Daniel<br />
Bienstock, Don Goldfarb, Garud Iyengar,<br />
Jay Sethuraman, and Cliff Stein, from<br />
the Indstrial Engineering and Operations<br />
Research Department, and Professor<br />
David Bayer, from the Department of<br />
Mathematics at Barnard College.<br />
Researchers at CORC specialize in the<br />
design and implementation of state-ofthe-art<br />
algorithms for the solution of<br />
large-scale optimization problems arising<br />
from a wide variety of industrial and<br />
commercial applications.<br />
UNDERGRADUATE PROGRAMS<br />
B.S. in Industrial Engineering<br />
The undergraduate program is designed<br />
to develop the technical skills and intellectual<br />
discipline needed by our graduates<br />
to become leaders in industrial<br />
engineering and related professions. The<br />
program is distinctive in its emphasis on<br />
quantitative, economic, computer-aided<br />
approaches to production and service<br />
management problems. It is focused on<br />
providing an experimental and mathematical<br />
problem-formulating and problemsolving<br />
framework for industrial engineering<br />
work. The curriculum provides a<br />
broad foundation in the current ideas,<br />
models, and methods of industrial engineering.<br />
It also includes a substantial<br />
component in the humanities and social<br />
sciences to help students understand<br />
the societal implications of their work.<br />
The industrial engineering program<br />
objectives are:<br />
1. to provide students with the requisite<br />
analytical and computational skills to<br />
assess practical situations and academic<br />
problems, formulate models of<br />
the problems represented or embedded<br />
therein, design potential solutions,<br />
and evaluate their impact;<br />
2. to prepare students for the workplace<br />
by fostering their ability to participate<br />
in teams, understand and practice<br />
interpersonal and organizational<br />
behaviors, and communicate their<br />
solutions and recommendations<br />
effectively through written, oral, and<br />
electronic presentations;<br />
3. to familiarize students with the historical<br />
development of industrial engineering<br />
tools and techniques and<br />
with the contemporary state of the<br />
art, and to instill the need for lifelong<br />
learning within their profession; and<br />
4. to instill in our students an understanding<br />
of ethical issues and professional<br />
and managerial responsibilities.<br />
B.S. in Operations Research<br />
The operations research program is one<br />
of several applied science programs<br />
offered at the School. At the undergraduate<br />
level, it offers basic courses in<br />
probability, statistics, applied mathematics,<br />
simulation, and optimization as well<br />
as more professionally oriented operations<br />
research courses. The curriculum<br />
is well suited for students with an aptitude<br />
for mathematics applications.<br />
It prepares graduates for professional<br />
employment as operations research<br />
analysts, e.g., with management consultant<br />
and financial service organizations,<br />
as well as for graduate studies in<br />
operations research or business. It is<br />
flexible enough to be adapted to the<br />
needs of future medical and law students.<br />
B.S. in Operations Research:<br />
Engineering Management Systems<br />
This operations research option is<br />
designed to provide students with an<br />
understanding of contemporary technology<br />
and management. It is for students<br />
who are interested in a technical-management<br />
background rather than one in<br />
a traditional engineering field. It consists<br />
of required courses in industrial engineering<br />
and operations research, economics,<br />
business, and computer science,<br />
intended to provide a foundation<br />
for dealing with engineering and management<br />
systems problems. Elective<br />
courses are generally intended to provide<br />
a substantive core in at least one<br />
technology area and at least one management<br />
area.<br />
Due to the flexibility of this option, it<br />
can incorporate the varied educational<br />
needs of preprofessional students interested<br />
in law, medicine, business, and<br />
finance. In addition, most students are<br />
encouraged to add a minor in economics<br />
or computer science to their standard<br />
course schedules.<br />
<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>