2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

operations research: Third and Fourth Years
161
Semester V Semester VI Semester VII Semester VIII
MATH E1210 (3)
Ordinary diff. equations
IEOR E3106 (3)
Stochastic models
Required
Courses 1 IEOR E3608 (4)
Mathematical prog.
COMS W4111 (3)
Database systems
IEOR E3402 (4)
Production planning
IEOR E4404 (4)
Simulation
IEOR E4600 (3)
Applied integer prog.
IEOR E4003 (3)
Industrial econ.
IEOR E4700 (3)
Intro to FE
IEOR E4407 (3)
Game theoretic models of
operations
IEOR E4405 (3)
Prod. scheduling
operations
research
electives
nontech
electives
Choose four OR electives (12 pts. total):
Please consult the list on the departmental website: www.ieor.columbia.edu
Complete 27-point requirement. See page 10 or www.engineering.columbia.edu for details.
1 Taking required courses later than the prescribed semester is not permitted.
with emphasis on its combinatorial aspects. Basic
definitions, and some fundamental topics in graph
theory and its applications. Topics include trees
and forests graph coloring, connectivity, matching
theory and others.
IEOR E4106x and y Introduction to operations
research: stochastic models
3 pts. Lect: 3. Professor Yao.
Prerequisites: SIEO W4150 or probability theory.
This is a required course for MSEMS, MSIE, and
MSOR students. This is also required for students
in the Undergraduate Advanced Track. Some of
the main stochastic models used in engineering
and operations research applications: discrete-time
Markov chains, Poisson processes, birth and death
processes and other continuous Markov chains,
renewal reward processes. Applications: queueing,
reliability, inventory, and finance.
SIEO W4150x and y Introduction to probability
and statistics
3 pts. Lect: 3. Professor Wright.
Prerequisite: Calculus. Fundamentals of probability
theory and statistical inference used in engineering
and applied science. Probabilistic models, random
variables, useful distributions, expectations, law
of large numbers, central limit theorem. Statistical
inference: point and confidence interval estimation,
hypothesis tests, linear regression.
IEOR E4207x Human factors: performance
3 pts. Lect: 3. Professor Gold.
This course is required for undergraduate
students majoring in IE. Sensory and cognitive
(brain) processing considerations in the design,
development, and operations of systems, products,
and tools. User or operator limits and potential in
sensing, perceiving decision making, movement
coordination, memory, and motivation.
IEOR E4208y Seminar in human factors design
3 pts. Lect: 3. Professor Gold.
Prerequisite: IEOR E4207 or instructor’s
permission. This course is an elective
undergraduate students majoring in IE. An in-depth
exploration of the application potential of human
factor principles for the design of products and
processes. Applications to industrial products,
tools, layouts, workplaces, and computer displays.
Consideration to environmental factors, training
and documentation. Term project.
IEOR E4210y Supply chain management
3 pts. Lect: 3. Professor Truong.
Prerequisite: IEOR E3402, E4000, or
permission of instructor. This is a IE elective for
undergraduate students majoring in IE. Major
issues in supply chain management, including,
definition of a supply chain; role of inventory;
supply contracts; bullwhip effect and information
sharing; vendor-managed inventories and
other distribution strategies; third-party logistics
providers; managing product variety; information
technology and supply chain management;
international issues. Emphasis on quantitative
models and analysis.
IEOR E4220y Demand and supply analytics
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisites: IEOR E4004 (or E3608), IEOR
E4106 (or E3608). Tools to efficiently manage
supply and demand networks. Topics include
service and inventory trade-offs, stock allocation,
pricing, markdown management and contracts,
timely product distribution to market while avoiding
excess inventory, allocating adequate resources to
the most profitable products and selling the right
product to the right customer at the right price and
at the right time.
IEOR E4307x Applied statistical models in
operations research
3 pts. Lect: 3. Professor Wright.
Prerequisites: probability, linear algebra.
Descriptive statistics, central limit theorem,
parameter estimation, sufficient statistics,
hypothesis testing, regression, logistic regression,
goodness-of-fit tests, applications to operations
research models.
IEOR E4308x Industrial budgeting and
financial control
3 pts. Lect: 3. Professor Luss.
Prerequisite: ENGI W2261 or accounting and
finance. Management control via the budgeting and
financial processes. Topics include the preparation,
evaluation, and implementation of operating and
capital budgets and review of their performance.
Examples from contemporary practice.
IEME E4310x The manufacturing enterprise
3 pts. Lect: 3. Professor Weinig.
The strategies and technologies of global
manufacturing and service enterprises.
Connections between the needs of a global
enterprise, the technology and methodology
needed for manufacturing and product
development, and strategic planning as currently
practiced in industry.
IEOR E4403x Advanced engineering and
corporate economics
3 pts. Lect: 3. Professor Sadighian.
Prerequisites: Probability theory and linear
programming This course is required for students
in the Undergraduate Advanced Track. Key
measures and analytical tools to assess the
financial performance of a firm and perform
the economic evaluation of industrial projects.
Deterministic mathematical programming models
for capital budgeting. Concepts in utility theory,
game theory and real options analysis.
engineering 2011–2012