Consider two queuing systems. System A is an M/M/1 queue with arrival rate λ and service rate mμ. System B consists of m queues, each queue is an M/M/1 queue with service μ. A customer in system B is uniformly assigned to one of the m queues when the customer arrives.
Compare the efficiencies and average waiting times of both systems. Which is the system that should be used in order to reduce average time spent in the system by customers?