Analyzing Power-Saving Techniques with Two Types of Vacations in Queueing Models: Impact on Server Performance and Power Consumption

Abstract

In today's rapidly evolving world of technology, power conservation has become crucial. When a server is in idle mode, it still consumes a certain amount of power, making it necessary to analyze queueing models with power-saving techniques. This study focuses on a queueing model with two types of vacations, aiming to reduce power consumption when the server is idle. Additionally, the model considers server failure and immediate repair scenarios.

To assess the performance of the system, essential performance measures are derived using probability generating techniques. These measures help evaluate the efficiency of the power-saving approach and quantify the impact of server failure and repair on the overall system performance. Numerical analysis is conducted to validate the system performance metrics. The analysis provides numerical results that demonstrate the effectiveness of the power-saving strategies and their impact on power consumption, queueing behavior, and overall system performance. This study contributes to the understanding and optimization of power consumption in idle servers, offering insights into the benefits of incorporating power-saving techniques such as different types of vacations and immediate repairs. The findings can guide the design and management of server systems, ensuring energy efficiency and improved overall performance.