Improved Approximation Algorithm for the Combination of Parallel Machine Scheduling and Vertex Cover

Abstract

This paper studies the combination problem of parallel machine scheduling and the vertex cover problem. Wang and Cui developed a [Formula: see text]-approximation algorithm for this problem [13], where [Formula: see text] is the number of parallel machines. We reduce the approximation factors from [Formula: see text] to [Formula: see text] for [Formula: see text], from [Formula: see text] to [Formula: see text] for [Formula: see text], and to [Formula: see text] for [Formula: see text].