The course described below is being offered as the "Topics" course ELEN W6781 in spring '01, but it is equally applicable to IE/OR and CS, and to a lesser extent the Business School and Statistics Dept. It follows most naturally from undergraduate courses in the design and analysis of algorithms (although such courses will not be needed as prerequisites). Course title: Probabilistic Analysis of Combinatorial Algorithms in Electrical, Industrial, and Computer Engineering Instructor: E. G. Coffman, Jr. Course description: In various guises, scheduling, packing, routing, and allocation problems are fundamental to virtually all branches of engineering. Typically, since optimal solutions are out of reach, one turns to approximate techniques. This course investigates such techniques in the setting of probabilistic (usually asymptotic average-case) analysis. Specific topics include average-case analysis of algorithms for on-line and greedy scheduling, next-fit and best-fit bin packing, packings in two dimensions, space filling, the TSP problem, and vehicle routing. Prerequisites: The student is expected to have a good undergraduate probability background.