Virginia Tech® home

Operations Research

student studying

Required Courses

The required courses for the M.S. and M.Eng. degree are given in the following table:

Number Title Credits
ISE 5405 Optimization I 3
ISE 5406 Optimization II 3
ISE 5414 Random Processes 3
ISE 5424 Simulation 3
ISE 5034 Mathematical Probability & Statistics 3

M.S. Curriculum

The thesis-based M.S. program requires 30 credit hours, including 24 course-credit hours (of which 15 are for required courses) and up to 6 thesis hours. Students must select 9 credit hours of elective course work from either the following list of ISE courses, or courses by the other departments, or any relevant graduate courses offered by the university subject to the approval of the student’s committee.

Number Title Credits
ISE 4424 Logistics Engineering 3
ISE 5204 Manufacturing Systems Engineering 3
ISE 5244 Facilities Planning and Material Handling 3
ISE 5434 Economic Project Evaluation 3
ISE 5454 Production Planning and Control 3
ISE 5464 Queueing Theory I 3
ISE 5474 Statistical Theory of Quality Control 3
ISE 5484 Modeling Processes in Operations Research 3
ISE 6404 Graph Theory & Network Flows 3
ISE 6414 Integer Programming 3
ISE 6424 Dynamic Programming 3
ISE 6434 Scheduling and Sequence Theory 3
ISE 6444 Inventory Theory 3
ISE 6454 Adv Topics in Supply Chain & Operations Mgmt 3
ISE 6464 Queuing Networks 3
ISE 6474 Reliability Theory 3
ISE 6494 Advanced Simulation 3
ISE 6504 Markov Renewal and Related Processes 3
ISE 6514 Advanced Topics in Math Programming 3
ISE 6524 Advanced Topics in Engineering Economy 3
Number Title Credits
CS/Math 5485 Numerical Analysis and Software I 3
CS/Math 5486 Numerical Analysis and Software II 3
MATH 4225 Elementary Real Analysis I 3
MATH 4226 Elementary Real Analysis II 3
MATH 5226 Real Analysis II 3
MATH 5454 Graph Theory 3
MATH 5464 Combinatorics 3
MATH 5524 Matrix Theory 3
MATH 5545 Calculus of Variations and Optimal Control Theory I 3
MATH 5546 Calculus of Variations and Optimal Control Theory II 3
STAT 5124 Linear Models Theory 3
STAT 5204 Experimental Design & Analysis I 3
STAT 5424 Statistical Decision Theory 3
STAT 5434 Markov Chains & Renewal Theory 3
STAT 5504 Multivariate Statistical Methods 3
STAT 5514 Regression Analysis 3
STAT 5554 Variance Components 3
STAT 5574 Response Surface Design and Analysis I 3
STAT 6106 Measure and Probability 3
STAT 6424 Multivariate Statistical Analysis 3
STAT 6574 Response Surface Design and Analysis II 3
STAT 6504 Experimental Design II 3
CS 5114 Theory of Algorithms 3
Any ISE Department course that is approved for graduate credit

M.Eng. Curriculum

Students selecting the M.Eng. option must complete 30 credit hours of coursework including 15 credits of required course. Students must then complete 15 credits of courses, at least 6 credits of which must be selected from the courses by the ISE department. Students may elect up to 9 credit hours of coursework from the other departments, or any relevant graduate courses offered by the university subject to the approval of the student’s committee.

Students in the non-thesis track must then complete 15 credits of courses, at least 6 credits of which must be selected from the courses by the ISE department.

Number Title Credits
ISE 4424 Logistics Engineering 3
ISE 5204 Manufacturing Systems Engineering 3
ISE 5244 Facilities Planning and Material Handling 3
ISE 5434 Economic Project Evaluation 3
ISE 5454 Production Planning and Control 3
ISE 5464 Queueing Theory I 3
ISE 5474 Statistical Theory of Quality Control 3
ISE 5484 Modeling Processes in Operations Research 3
ISE 6404 Graph Theory & Network Flows 3
ISE 6414 Integer Programming 3
ISE 6424 Dynamic Programming 3
ISE 6434 Scheduling and Sequence Theory 3
ISE 6444 Inventory Theory 3
ISE 6454 Adv Topics in Supply Chain & Operations Mgmt 3
ISE 6464 Queuing Networks 3
ISE 6474 Reliability Theory 3
ISE 6494 Advanced Simulation 3
ISE 6504 Markov Renewal and Related Processes 3
ISE 6514 Advanced Topics in Math Programming 3
ISE 6524 Advanced Topics in Engineering Economy 3

M.Eng. students may elect up to 9 credit hours of coursework from the other departments, or any relevant graduate courses offered by the university subject to the approval of the student’s committee.

Number Title Credits
CS/Math 5485 Numerical Analysis and Software I 3
CS/Math 5486 Numerical Analysis and Software II 3
MATH 4225 Elementary Real Analysis I 3
MATH 4226 Elementary Real Analysis II 3
MATH 5226 Real Analysis II 3
MATH 5454 Graph Theory 3
MATH 5464 Combinatorics 3
MATH 5524 Matrix Theory 3
MATH 5545 Calculus of Variations and Optimal Control Theory I 3
MATH 5546 Calculus of Variations and Optimal Control Theory II 3
STAT 5124 Linear Models Theory 3
STAT 5204 Experimental Design & Analysis I 3
STAT 5424 Statistical Decision Theory 3
STAT 5434 Markov Chains & Renewal Theory 3
STAT 5504 Multivariate Statistical Methods 3
STAT 5514 Regression Analysis 3
STAT 5554 Variance Components 3
STAT 5574 Response Surface Design and Analysis I 3
STAT 6106 Measure and Probability 3
STAT 6424 Multivariate Statistical Analysis 3
STAT 6574 Response Surface Design and Analysis II 3
STAT 6504 Experimental Design II 3
CS 5114 Theory of Algorithms 3
Any ISE Department course that is approved for graduate credit