Use of mathematical models for planning and operating systems in industrial engineering, linear programming formulations and graphical solution, the simplex method, duality and sensitivity analysis, transportation problems, the assignment problem, Branch & Bound algorithm, dynamic programming, decision theory.
Every organization uses resource i?nputs of labor, materials, parts and tools to perform added value activities for generating/creating its product and/or services. The supply and use of these i?nputs and these added value activities are termed “operations”. Operations management exists in every organization. The output is, basically, a physical product or service provided, or both, product and service. Different mathematical models, solution techniques, measures of efficiency, and methods of follow-up are used in planning the operations of production facilities and of service organizations. Selected part of these models and methods will be presented, analyzed and discussed. The main topics covered by this course: Forecasting, aggregate planning, master production scheduling, material requirements planning and lot sizing, inventory management: deterministic and and stochastic; one period, multiple periods, and infinite horizon; heuristics and strict optimization.