Ph.D. Minor in Operations Research

A Ph.D. minor program in Operations Research is available for doctoral students in graduate programs who find it advantageous to include advanced quantitative methods of systems analysis in their program of study and have been approved to do so by their doctoral committee.

Admission Requirements

To qualify for a minor in Operations Research, students must satisfy the requirements of the industrial engineering program, meet same prerequisites as the M.S. dual-title degree, and meet the following minimum requirements:

Note: All course descriptions can be found in LionPATH.

Stochastic/Statistical Methods - 6 credits

Stochastic Processes - minimum of 3 credits

  • IE 516/SCIS 516: Applied Stochastic Processes
  • MATH 416/STAT 416: Stochastic Modeling, MATH 516: Stochastic Processes, MATH 519/STAT 519: Topics in Stochastic Processes
  • STAT 515: Stochastic Processes and Monte Carlo Methods

Statistical Methods - minimum of 3 credits

  • MATH 414/STAT 414: Introduction to Probability Theory, MATH 415/STAT 415: Introduction to Mathematical Statistics, MATH 418/STAT 418: Introduction to Probability and Stochastic Processes for Engineering
  • IE 511: Experimental Design in Engineering, IE 583: Response Surface Methodology and Process Optimization, IE 584: Time Series Control and Process Optimization
  • SCIS 535: Statistical Research Methods for Supply Chain and Information Systems
  • STAT 460: Intermediate Applied Statistics, STAT 501: Regression Methods, STAT 502: Analysis of Variance and Design of Experiments, STAT 503: Design of Experiments
  • ECON 501: Econometrics
  • AEREC 510/ECON 510: Econometrics I

Optimization - 6 credits

Linear Programming - minimum of 3 credits

  • IE 405: Deterministic Models in Operations Research, MATH 484: Linear Programs and Related Problems
  • IE 505: Linear Programming
  • AEREC 527: Quantitative Methods I

Integer Programming

  • IE 510: Integer Programming

Mathematical Programming

  • MATH 555/CSE 555: Numerical Optimization Techniques
  • IE 468: Optimization Modeling and Methods, IE 512: Graph Theory and Networks in Management, IE 520: Multiple Criteria Optimization
  • SCIS 525: Supply Chain Optimization

Nonlinear Programming

  • IE 521: Nonlinear Programming

Dynamic Programming

  • IE 519/SCIS 519: Dynamic Programming

Computational Methods - 3 credits

Numerical Methods

  • MATH 451/CMPSC 451: Numerical Computations, MATH 455/CMPSC 455: Introduction to Numerical Analysis I, MATH 456/CMPSC 456: Introduction to Numerical Analysis II, MATH 550/CSE 550: Numerical Solution of Ordinary Differential Equations, MATH 553/CSE 553: Introduction to Approximation Theory

Simulation Methods

  • IE 453: Simulation Modeling for Decision Support
  • IE 522: Discrete Event Systems;I E 540: Manufacturing Systems Siumulation
  • SCIS 545: Supply Chain Simulation

Operations Research Colloquium

Students must take one credit of OR 590: Operations Research Colloquium, for each year the student takes to complete his/her masters degree. The maximum number of required credits of OR 590 for the Ph.D. with Operations Research minor is 4.

Note: A minimum of 6 credits must be taken in the 500 series for this minor.

For additional information, please visit the Operations Research program website.

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