Approximation Randomization and Combinatorial Optimization: Algorithms and Techniques : 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science RANDOM 2001 Berkeley CA USA August 18–20 2001 Proceedings This book constitutes the joint refereed proceedings of the 4th International Workshop on Approximation Algorithms for Optimization Problems APPROX 2001 and of the 5th International Workshop on Ranomization and Approximation Techniques in Computer Science RANDOM 2001 held in Berkeley California USA in August 2001. The 26 revised full papers presented were carefully reviewed and selected from a total of 54 submissions. Among the issues addressed are design and analysis of approximation algorithms inapproximability results on line problems randomization de randomization average case analysis approximation classes randomized complexity theory scheduling routing coloring partitioning packing covering computational geometry network design and applications in various fields