We consider the minimum equivalent digraph (directed network) problem (also known as the strong transitive reduction) and its maximum objective function variant, with two types of...
Abstract. We give logarithmic approximation algorithms for the nonmetric uncapacitated multicommodity and multilevel facility location problems. The former algorithms are optimal u...
: We initiate the study of a new measure of approximation. This measure compares the performance of an approximation algorithm to the random assignment algorithm. This is a useful ...
We study a stochastic optimization problem that has its roots in financial portfolio design. The problem has a specified deterministic objective function and constraints on the co...
We introduce a facility location problem with submodular facility cost functions, and give an O(log n) approximation algorithm for it. Then we focus on a special case of submodula...