Quantitative Electives

IE 5305 - LINEAR PROGRAMMING: Theory and applications of linear programming including the simplex method, computational complexity, column generation and integer programming. Prerequisite: IE 3315 or IE 5317.

IE 5306 - DYNAMIC OPTIMIZATION: Dynamic optimization methods including dynamic programming, the calculus of variations, and optimal control theory. Emphasis is on the modeling and solution of practical problems using these techniques. Prerequisites: IE 3301 and IE 3315, or equivalent.

IE 5309 - STOCHASTIC PROCESSES: The study of probabilistic model building including the fundamentals of both discrete and continuous Markov chains, queueing theory and renewal theory. Prerequisites: IE 3301 or IE 5317, or equivalent.

IE 5332 - NONLINEAR PROGRAMMING: Methods for nonlinear optimization including classical theory; gradient methods; sequential unconstrained methods; convex programming; genetic algorithms; simulated annealing; and separable, quadratic, and geometric programming. Prerequisite: graduate standing.

Other Quantitative Electives

IE 5307 - QUEUEING THEORY: The fundamentals of queueing theory including Markovian birth-death models, networks of queues, and general arrival and service distributions. Prerequisites: IE 3301 or IE 5317, or equivalent.

IE 5311 - DECISION ANALYSIS: A survey of methods for making optimal decisions. Topics include decision models, formal logic, fuzzy controls, statistical decision theory, game theory, multiobjective decisions, stochastic programming, information theory and qualitative aspects of the decisions. Prerequisites: IE 5301 or concurrent.

IE 6303 - COMBINATORIAL ANALYSIS: A survey of problems and algorithms in combinational optimization. Topics include shortest paths, minimum-weight spanning trees, matroids, matchings, optimal assignments and set packing. Prerequisite: IE 5305 or consent of instructor.

IE 6308 - DESIGN OF EXPERIMENTS: Introduction to statistical design and analysis of experiments with applications from engineering, medicine and agriculture. Analysis includes analysis of variance, multiple comparisons and model adequacy. Designs include complete factorial, complete block, incomplete block, Latin square, Youden, two-level fractional factorial and hierachically nested. Prerequisite: IE 5318 or consent of instructor.

INSY 5335 - APPLIED DATABASE MANAGEMENT: Concepts, tools, and technologies associated with the design, implementation and management of large databases are presented. Topics include data models (with emphasis on E/R model and relational model), database design and implementation, database query language, transaction management, and distributed databases. Recent advances in data management are also discussed. Use of a commercial DBMS is required.

Math 5310 - MATHEMATICAL GAME THEORY: Two person null sum games. Bimatrix games and Nash equilibrium points. Noncooperative games, existence theorem. Cooperative games, core, Shapley value, the nucleolus. Cost allocation. Market games. Simple games and voting

Math 5315 - GRAPH THEORY: Algorithms for problems on graphs. Trees, spanning trees, connectedness, fundamental circuits. Eulerian graphs and Hamiltonian graphs. Graphs and vector spaces, matrices of a graph. Covering and coloring. Flows. Prerequisite: MATH 3314.

Math 5316 - COMBINATORIAL OPTIMIZATION: Shortest paths. Minimum weight spanning trees and matroids. Matchings and optimal assignment. Connectivity. Flows in networks, applications. Prerequisite: MATH 3314.

IE Core

IE 5301 - ADVANCED OPERATIONS RESEARCH: A survey of quantitative methods to develop modeling and decision-making skills. Topics include z-transforms and difference equations, Markov Chains, decision analysis techniques, goal programming, game theory, queuing theory and nonlinear programming. Prerequisites: Both IE 3301 and IE 3315 OR IE 5317 or equivalent.

IE 5304 - ADVANCED ENGINEERING ECONOMY: Analysis of capital investments in engineering and technical projects. Topics include decision analysis methods, cash flows, revenue requirements, activity-based analysis, multi-attribute decisions, probabilistic analysis and sensitivity/risk analysis. Prerequisite: graduate standing.

IE 5318 - APPLIED REGRESSION ANALYSIS: An in-depth study of one predictor variable followed by the matrix approach to multiple linear regression. Topics include estimation, prediction, analysis of variance, residual analysis, transformations, multicollinearity, model selection, weighted least squares, ridge regression, and robust regression. Prerequisite: IE 3301 or IE 5317 or equivalent.

IE Applications ((Take 5303, 5322, 5329 for quantitative methods)

IE 5303 - QUALITY SYSTEMS: Principles and practices of industrial quality control. Topics include the Deming philosophy, process improvements, statistical process control, process capability analysis and product acceptance. Prerequisite: IE 3301, or IE 5317, or equivalent.

IE 5322 - SIMULATION AND OPTIMIZATION: An in-depth study of discrete event simulation theory and practice. Optimization and search techniques used in conjunction with simulation experiments are introduced. A commercial simulation software application is used. Prerequisite: IE 5317 or equivalent.

IE 5329 - PRODUCTION AND INVENTORY CONTROL SYSTEMS: The fundamentals of production and inventory control systems. The economic impacts of fluctuating demand, supply availability and production rates are examined. Prerequisite: graduate standing.

IE 5338 - HUMAN ENGINEERING: Human structural, physiological, psychological, and cognitive capacities and limitations in the workplace, and their effects on the design of work systems to enhance productivity, and maintain health and safety. Prerequisite: IE 3301 or equivalent, or consent of instructor.

IE 5342 - METRICS AND MEASUREMENTS: Work measurement, methods improvements, and performance measurement. A survey of enterprise and management measurement systems is presented. Prerequisite: IE 5317 or equivalent.

IE 6302 - FACILITIES PLANNING AND DESIGN: Facilities planning through layout design. Product flow, space-activity relationships, personnel requirements, and material handling are considered, as well as receiving, shipping, warehousing, and integration with manufacturing. Facilities planning models are explored. Prerequisite: IE 5317 or equivalent, IE 5301 or concurrent, and IE 5329, or concurrent or equivalent.

Based on prior academic preparation, additional or substitute coursework may be required.