EXPLORING HEAVY TRAFFIC DYNAMICS IN DATA TRANSMISSION AND COMMUNICATION SYSTEMS: LEVERAGING ASYMPTOTIC METHODS WITH EMPHASIS ON MULTICLASS QUEUING SYSTEMS AND DISTRIBUTIONAL LAWS
Ujali Gupta
Computer Science
June 2024
Introduction: In-depth study of multiclass queueing systems functioning in high traffic situations is presented in this work. Through application of an asymptotic method based on distributional and conservation laws, we obtain important insights into these systems' performance and behaviour. Aim: The primary goal of the study is to use an asymptotic method based on distributional and conservation principles to analyse multiclass queueing systems in situations of high traffic. Methodology: Based on basic distributional and conservation laws, we suggest a novel way to analyse multiclass queueing systems with high traffic. From a methodological standpoint, we ascertain the heavy traffic behaviour of the following systems by extending the distributional rules to multiple classes and merging them with conservation laws: The ƩGI/G/1 queue is FIFO. The ƩGI/G/1 queue has priority. General arrival distribution polling systems Results: Our method handles problems that classic heavy traffic theory has not fully addressed, yields closed-form solutions, and offers deeper insights into the asymptotics employed than standard heavy traffic analysis via Brownian processes. Even in moderate traffic situations, these answers are much more accurate than simulations. Conclusion: In summary, this study's findings deepen our understanding of multiclass queueing dynamics in high-traffic environments and have important ramifications for how contemporary communication networks and data transmission systems are designed and optimised.
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