Providing good quality of service (QoS) in cellular IP networks is an important requirement for performance improvement of the cellular IP network. Resource reservation is one of the methods used in achieving this goal and is proven to be effective. The main resources to be reserved in a cellular IP network are bandwidth, buffer and central processing unit (CPU) cycles. Router CPU cycle is the time taken by the router to process the packet of the flow before forwarding it to the next router (hop). This paper proposes a model for CPU cycle optimization of routers for real-time flows in a cellular IP network. The model applies both genetic algorithm (GA) and particle swarm optimization (PSO) as soft computing tools to optimize the CPU cycles and reduces the flow processing time at each router in the route taken by a flow. Simulation experiments illustrate a comparative study of the model. peer-reviewed conferences. He has contributed chapters in many edited books. He is in the editorial board of two international journals and in the reviewer's panel of many international journals. Also, he has co-authored a book (research monograph) entitled 'Scheduling in Distributed Computing Systems: Design, Analysis and Models' published by Springer, USA released in December,