Organizations are deploying well-designed computer networks supporting converged applications of data, audio, and video. Use of different applications demands computer network to have various abilities -performance, resilience, security, maintainability, etc. called x-abilities -in varying degree of importance depending on application requirements of an organization. To facilitate design of computer network simultaneously for all x-abilities in an integrated way, a concurrent design methodology using multi attribute decision making (MADM) approach is proposed. This concurrent design methodology is aimed at reducing design time considerably and makes use of expertise of experts from different specialized fields in a single design team. MADM approach provides technique for selection of best computer network for the application under consideration.