ISyE 3231, Deterministic Operations Research
Prerequisites: Math 2508 and CS 1502

Deterministic models and methods of operations research in solving engineering and management problems. Topics include linear models, linear programming, duality, post optimality analysis, and network analysis.

ISyE 3233, Advanced Operations Research
Prerequisite: ISyE 3231

Further topics in modeling and methods for optimization. Includes advanced algorithms for linear programming, integer programming methods and applications, nonlinear programming, and dynamic programming.

ISyE 6663, Optimization III
Prerequisites: Math 2508 and CS 1502, Corequisite: Math 4317 or equivalent

Fundamental concepts in nonlinear programming. Algorithms and convergence. Gradient and second order methods. Reduced gradient and projection approaches. Polynomial algorithms and interior point methods. Dual methods. This course is for students seriously considering a Ph.D.

ISyE 6669, Linear Models in Operations Research
Prerequisite: ISyE 3231 or equivalent.

The optimization of linear models, including the revised, dual, and primal dual simplex methods, duality theorems, decomposition, cutting plane algorithms, and some network algorithms.

ISyE 6671, Discrete Deterministic Models in Operations Research
Prerequisites: ISyE 6669

The optimization of discrete deterministic models, including general enumerative methods and special algorithms for well-known discrete problems on graphs

ISyE 6679, Computational Methods in Optimization
Prerequisites: ISyE 6669and a thorough knowledge of PASCAL, MODULA, or C at the level of CS 2100.

Strategies and techniques for translating optimization theory into effective computational software. Emphasis on applications in linear, nonlinear, and integer programming, networks, and graphs.

ISyE 6734, Methods of Operations Research
Prerequisites: Math 2508.

An introduction to the methods for analytical formulation and solution of decision problems. Mathematical methods of optimization and classical operations research models are introduced.