15.099 | Fall 2003 | Graduate

Readings in Optimization


1 MAXCUT; Semidefinite Programming; and the Goemans-Williamson Paper Goemans, Michel X., and David P. Williamson. “Improved Approximation Algorithms for Maximum Cut and Satisfiability Problems Using Semidefinite Programming.” Journal of the ACM 42, no. 6 (November 1995): 1115-45.
2 Dunagan and Vempala Paper; Storn and Price Paper Dunagan, John, and Santosh Vempala. “A Simple Polynomial-Time Rescaling Algorithm for Solving Linear Programs.” In Proceedings of the 36th Annual Association for Computing Machinery Symposium on Theory of Computing. New York, NY: ACM Press, 2004.

Storn, Rainer, and Kenneth Price. “Differential Evolution - A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces.” Journal of Global Optimization 11 (1997): 341-59.

3 Clarkson Paper; Motwani and Raghavan chapter 9 Clarkson, Kenneth L. “Las Vegas Algorithms for Linear and Integer Programming When the Dimension Is Small.” Journal of the ACM 42, no. 2 (March 1995): 488-99.

Motwani, Rajeev, and Prabhakar Raghavan. Chapter 9 in Randomized Algorithms. Cambridge, UK: Cambridge University Press, 1995. ISBN: 0-521-47465-5.

4 Kalai Paper #1; Kalai Paper #2 Kalai, Gil. “A Subexponential Randomized Simplex Algorithm (Extended Abstract).” In Proceedings of the 24th Annual Association for Computing Machinery Symposium on Theory of Computing. New York, NY: ACM Press, 1992.

Kalai, Gil. “Linear Programming, the Simplex Algorithm and Simple Polytopes.” Jerusalem, Israel: Hebrew University of Jerusalem, May 1997.

5 Solis and Wets Paper; Romeijn Thesis Book Solis, F. J., and R. J-B. Wets. “Minimization by Random Search Techniques.” Mathematical Operations Research 6 (1981): 19-30.

Romeijn, H. Edwin. “Global Optimization by Random Walk Sampling Methods.” Amsterdam: Thesis Publishers, 1992.

6 Zabinsky and Smith Paper Zabinsky, Zelda B., and Robert L. Smith. “Pure Adaptive Search in Global Optimization.” Mathematical Programming 55 (1992): 323-38.
7 Simonovits Paper Simonovits, Miklós. “How to Compute the Volume in High Dimension?” Mathematical Programming B 97 (2003): 337-74.
8 Romeijn and Smith Paper Romeijn, H. Edwin, and Robert L. Smith. “Simulated Annealing for Constrained Global Optimization.” Journal of Global Optimization 5 (1994): 101-26.
9 Bertsimas and Vempala Paper; Zabinsky, Smith, etc. Paper Bertsimas, Dimitris, and Santosh Vempala. “Solving Convex Programs by Random Walks.” In Proceedings of the 34th Annual Association for Computing Machinery Symposium on the Theory of Computing. New York, NY: ACM Press, 2002.

Zabinsky, Zelda B., Robert L. Smith, J. Fred McDonald, H. Edwin Romeijn, and David E. Kaufman. “Improving Hit-and-Run for Global Optimization.” _Journal of Global Optimization _ 3 (1993): 171-92.

10 Zabinsky, Graesser, etc. Paper; Sanjeev Paper Zabinsky, Zelda B., D. L. Graesser, M. E. Tuttle, and G. I. Kim. “Global Optimization of Composite Laminates Using Improving Hit and Run.” In Recent Advances in Global Optimization, edited by Christodoulos A. Floudas and Panos M. Pardalos, 343-68. Princeton University Press, 1992. ISBN: 0-691-08740-7.

Arora, Sanjeev. “Approximation Schemes for NP-hard Geometric Optimization Problems: A Survey.” Mathematical Programming B 97 (2003): 43-69.

Course Info

As Taught In
Fall 2003
Learning Resource Types
Lecture Notes
Presentation Assignments with Examples