INDUSTRIAL AND SYSTEMS ENGINEERING / 195


 conditions of variational calculus. Pontryagin's maximum principle, continuous and
 discrete. Comparison of variational approach and dynamic programming from a
 computational point of view.
 ISE 604-LINEAR PROGRAMMING 3 credits
 Prerequisite: Matrix theory. Theoretical and computational aspects of the simplex
 method. Duality theory, parametric analysis, sensitivity analysis, and selected topics.
 ISE 605-EXTENSIONS OF LINEAR PROGRAMMING 3 credits
 Prerequisites: ISE 601, ISE 604. Algorithmic extensions of the simplex method of
 linear programming. Large-scale linear programs. Extensions to nonlinear problems.
 ISE 606-NONLINEAR PROGRAMMING 3 credits
 Prerequisites: ISE 601, ISE 605. Optimization techniques for static and dynamic
 nonlinear systems subject to various constraints. Inequality theorems, geometric
 programming, convex programming, decomposition, and optimum seeking methods.
 ISE 607-FLOWS IN NETWORKS 3 credits
 Prerequisite: ISE 604. Mathematical formulations and solution techniques for general
 flow problems. Applications to transportation, defense, and communication networks.
 ISE 608-DISCRETE OPTIMIZATION THEORY 3 credits
 Prerequisite: ISE 604. Mathematical modeling and optimization theory associated with
 problems with variables restricted to integer values. Algorithms for general classes of
 problems and for special applications.
 ISE 610-MATHEMATICAL THEORY OF INVENTORY 3 credits
 Prerequisites: ISE 671, STA 660. Mathematical theory of inventory systems. Single-
 and multicommodity inventory problems analyzed as problems in dynamic programming
 and as Markov decision processes.
 ISE 611-INDUSTRIAL DYNAMICS 1 3 credits
 Prerequisites: Computer programming and probability theory. Dynamics of industrial
 systems, emphasizing models that incorporate decision making, its interactions with
 information, money, orders, material, personnel, and capital equipment, using theories of
 elementary feedback systems, difference equations, and probability.
 ISE 612-INDUSTRIAL DYNAMICS 2 3 credits
 Prerequisite: ISE 611. Continuation of ISE 611 to include dynamic simulation models,
 improvement of system behavior through changes in system structure and decision policy,
 and the interpretation of simulation results relative to system objective.
 ISE 620--GAMES AND GAMING 3 credits
 Prerequisites: Matrix theory, probability theory. Games in extensive and normal form.
 Two-person games. Formulation of two-person games as a linear programming problem.
 Cooperative and noncooperative games. Concepts and methods of gaming, including
 experimental management gaming.
 ISE 621-ADVANCED ENGINEERING ECONOMY 3 credits
 Prerequisites: STA 440, ISE 571. Mathematical models for expenditure analysis under
 uncertainty. Relationship between investment decision criteria and microeconomic theory.
 Capital planning and budgeting. Decisions involving expansion, acquisitions, replacement,
 and disinvestment.
 ISE 622-DECISION THEORY 3 credits
 Prerequisites: ISE 621, ISE 671. Formulation of decision criteria and decision
strategies in a probabilistic environment. Industrial applications of input-output analysis
and von Neumann-Morgenstern utility theory. Statistical decision functions.
ISE 630--ADVANCED PRODUCTION CONTROL 3 credits
 Prerequisites: ISE 571, ISE 671. Production planning and control; problem
identification and formulation.
ISE 631-WORK MEASUREMENT THEORY 3 credits
 Prerequisites: ISE 330, ISE 470, STA 440. Systems of work measurement and work
methods. Comparisons of systems.