Optimum Packet Service and Arrival Rates in Advanced Metering Infrastructure Architecture of Smart Grid

Smart grid as a communication network uses advancedmetering infrastructure architecture to collect the measureddata by smart meters and other devices such as powermeasurement units from different parts of the power grid andanalyzes them for billing and sends the collected data to theutility center for further analyses and being stored. In thispaper, we propose a three-layer aggregation architecture foradvanced metering infrastructure in smart grid based on theM/M/1 queuing system. We derive an expression for packetdelay and define three objective functions (total cost, payoff, and cost-reward per unit time) based on two performance metrics (congestion and load) in terms of service cost rate, waiting cost rate, packet delay, reward, packet service rate, and packet arrival rate. We obtain the optimum value of packet service and arrival rates of collectors by minimizing or maximizing the proposed objective functions.