A multiple vacation single server Markovian queueing system with balking, encouraged arrival, vacation intervention, waiting Server and double threshold policyare analyzed in this research. We increased the system size and system throughput by applying encouraged arrival. This model could be applied to simulate the power-saving mechanisms in the real-world application like WiMAX. After sending all the users in the awake mode, the server switches to the rest mode for nearly arbitrary period span ????1. After the end of the period ????1, If there are no users waiting for service, the server goes into monitoring mode and initiates a timer ????2. Both the rest (sleep) mode and the monitoring mode can be intervened when the system size achieves two predetermined threshold levels of ????1 and ????2. This model yields an explicit description of a steady-state solution. We solve the normalization condition. Performance measures like the system throughput and system size probabilities are calculated. Finally, simulation results, numerical illustrations and profit-Revenue analysis with illustrations are offered to investigate the performance of the system.