Supply chains are distributed manufacturing systems composed of various resources belonging to different companies. The configuration of the supply chain network, integrated with Internet and web-based electronic market places, is essential for business to pursue a competitive advantage. This paper develops a model describing the integrated e-supply chain network and formulates a multi-criteria integer linear optimization problem to select the candidates and the links connecting the stages of the e-supply chain. Hence, some multi-criteria objective functions are defined and suited constraints are introduced on the basis of the digraph modelling the supply chain network. The proposed methodology is illustrated by way of a case study describing a network for desktop computer production.