International Journal of Engineering and Information Systems (IJEAIS)   Year: 2024 | Volume: 8 | Issue: 4 | Page No.: 1-1 A power and response time management mechanism for an M/M/k queue system with setup costs Download PDF Abdellah ouammou, Hibat eallah mohtadi, Adnane el hanjri,, Mohamed hanini Abstract: Efficiently managing server quantities in contemporary server farms to meet demand while conserving energy poses a critical challenge. Turning off idle servers saves energy, but the associated setup costs during reactivation can impact performance. This study delves into the M/M/k queuing system with setup costs (M/M/k/Setup), exploring strategic server shutdowns and their implications. The analysis addresses the pivotal question of how many servers to activate, deactivate, or maintain in a sleep state, introducing a decomposition property that equates the response time of configured and non-reserved M/M/k systems. In addition, the research suggests a power management approach for server farms, specifically focusing on an M/M/k queue system with setup costs. It analyzes system states, response time distribution, and average energy consumption. Rigorous scrutiny and simulations confirm the proposed mechanism's effectiveness in optimizing energy efficiency. This work significantly contributes to practical and theoretical aspects of server farm management, offering insights for improved resource allocation and performance in IT and cloud computing.