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In Chap. 6 , we present ergodic theorems with explicit upper bounds for convergence rates for M/G-type queuing systems. We introduce an M/G-type queuing system with service distributions depending on the queue and obtain explicit upper bounds for power and exponential moments for the duration of the busy period using the method of test functions. Then, we present ergodic theorems with explicit power and exponential upper bounds for convergence rates for M/G-type queuing systems with service distributions depending on the queue.

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Ergodic Theorems for Queuing Systems

  • 章节

  • 发表日期：

    2025年

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  • Dmitrii Silvestrov

摘要

In Chap. 6 , we present ergodic theorems with explicit upper bounds for convergence rates for M/G-type queuing systems. We introduce an M/G-type queuing system with service distributions depending on the queue and obtain explicit upper bounds for power and exponential moments for the duration of the busy period using the method of test functions. Then, we present ergodic theorems with explicit power and exponential upper bounds for convergence rates for M/G-type queuing systems with service distributions depending on the queue.