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This paper presents a Particle Swarm Optimization (PSO) based co-channel interference constrained efficient and low-complexity novel spectrum allocation scheme with simultaneous power and network capacity optimization for a Cognitive Radio Network (CRN) with a system model of multiple secondary user (SU) pairs and one primary user (PU) pair in a spectrum underlay fashion. A novel weighted fitness function is proposed subject to the constraint that all primary users and secondary users are supported with their target signal-to-interference-noise ratio (SINR). MATLAB simulation shows that total transmitted-power-per- node (TPPN) decreases while the network capacity remains almost constant for proper choice of weight ratio of the fitness function involved and hence, in the real-time situation, we can avoid the high computational burden of multi-objective optimization by predetermining the weight ratio …