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2009-2010 Bulletin – 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>

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