QUEUE THEORY: MATHEMATICAL FOUNDATIONS OF DYNAMIC RESOURCE MANAGEMENT IN CLOUD COMPUTING ENVIRONMENTS

Abstract

In today’s digital economy, the demand for computing systems is growing at an unprecedented pace. IoT devices, artificial intelligence applications, real-time analytics platforms, and multimedia services collectively generate millions of requests per second, pushing traditional static resource management approaches to their capacity limits. This explosive growth in digital traffic has made mathematically grounded methods for effective resource management indispensable