Waste of electrical and electronic equipment (WEEE) is a constantly increasing component of the total volume of municipal solid waste. E-waste streams are expected to continue escalating in the near future. The underlining paradox lies in the fact that end-of-life electrical and electronic equipment constitute a critical waste stream owing to the contained hazardous and toxic elements, but they also present an important source of valuable raw materials. Therefore, identification of alternative scenarios for integrated WEEE management is imperative. To that end, this research develops a methodological approach that focuses on determining the optimal WEEE management scheme, among available alternatives, applicable to the specific case of Greece. In particular, a binary linear programming model is formulated that maximizes the performance of 9 alternative WEEE management scenarios. The mathematical model considers 12 performance assessment criteria identified across financial, technical, social, and environmental dimensions. Priority levels are assigned to each criterion based on the input of 19 involved experts. A range of “what-if” analyses indicate that mechanical recycling of WEEE, in tandem with exporting of residues, is the most efficient e-waste management strategy in the case of Greece. The research findings indicate that the joint cooperation of all stakeholders, together with political will and effectiveness, is required for the integrated WEEE management at a national level.