Performance Evaluation of M|M|1 Queueing Models in Cloud Computing Environments

Abstract

Queues are ubiquitous, occurring at any given moment. Traffic congestion, healthcare facilities, dining establishments, and even the digital realm. With the continuous advancement of global society, there has been a significant surge in the utilization of the internet, leading to a substantial increase in the volume of incoming service requests occurring on a constant basis. The emergence of cloud computing can be attributed to its inherent advantages in terms of user comfort and cost-effectiveness. The utilization of cloud computing enables users to do computational tasks without the need for physical server ownership. However, it is important to note that the presence of queues is not eliminated as a result. Queueing theory was established as a means to address the issue of lengthy and sluggish lines. This research focuses on the analysis and optimization of queueing systems in order to develop efficient and expedient queues, while also considering cost-effectiveness. In the context of cloud computing, particular attention is given to the goal of energy conservation. This study aims to examine the performance of M|M| queues within the context of cloud computing. It will include both numerical and textual analyses, as well as proofs, while primarily focusing on comparing the similarities and differences of two M|M| queues.