Push-Sum Protocol with Random Proportion for Agents in Energy Trading
摘要
Communication between prosumer and consumer agents to exchange data on energy consumed and produced is needed to estimate the average amount of energy available and determine prices in energy trading. Agents represented by nodes exchange the message using the random call model of communication protocol. We analyze the communication protocols of Push-Sum algorithm of Kempe et al., the r Push-Sum algorithm, and the random r Push-Sum algorithm for computing the approximate amount of energy data in a peer-to-peer network of agents. In the random r Push-Sum communication protocol, each agent determines the proportion value drawn uniformly at random in each round to determine the proportion of sum and weight that will be sent to the agent’s neighbor and the agent itself with respect to the mass conservation property. Each agent calculates the approximate value of the average amount of energy required and the average amount of energy provided in the peer-to-peer network. The Mean Squared Error (MSE) of the aggregation results is affected by the use of various proportions of sum and weight. These communication protocols improve MSE as the number of rounds and messages exchanged increases.