Equivalent convex optimisation approach for green cognitive radio-based cooperative networks

Ensuring total rate maximisation whilst keeping Greenhouse gas emission (GHGE) at a minimum in green cooperative cognitive radio networks is key to achieving maximum network quality. This study employs the multi-objective lexicographic algorithm to a proposed multi-objective optimisation problem scheme to deal with these conflicting objectives through two consecutive steps. The challenge posed by maximum throughput - a complex non-convex optimisation problem - is first resolved through a mathematical manipulation resulting in a fractional programming model which is then converted to its simplified convex programming equivalent by applying the Charnes-Cooper transformation. Next, the GHGE minimisation issue is tackled effectively by applying a convex programming. Simulation results confirm that the proposed approach offers superior performance compared to well-known schemes in terms of throughput gain and emission quality.