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Published on: September 8, 2023
Dual core processors: Coupled queues: Transient performance evaluation.
Shaik Salma1, Garimella Ramamurthy1
1Department of CSE, Mahindra University, Bahadurpalli, 500043, India.
This study models coupled queues in dual-core processors using Quasi-Birth-and-Death processes. It introduces a novel method for efficient transient analysis, enabling better performance estimation and adaptive routing algorithm design for High-Performance Computing systems.
Area of Science:
- Computer Science
- Queueing Theory
- Performance Analysis
Background:
- High-Performance Computing (HiPC) systems utilize multi-core processors, with dual-core processors common in pervasive computing.
- Traditional queueing analysis assumes independent queues, which is unrealistic for adaptive routing policies like Join the Shortest Queue (JSQ).
- Equilibrium analysis of coupled queues does not provide accurate performance measures for systems with adaptive routing.
Purpose of the Study:
- To model coupled queues in dual-core processors using Quasi-Birth-and-Death (QBD) processes.
- To demonstrate the tractability of computing the transient probability distribution of a QBD process directly in the time domain.
- To enable efficient transient performance analysis and design of optimal adaptive routing algorithms.
Main Methods:
- Modeling coupled queues with a Quasi-Birth-and-Death (QBD) process.
- Computing the matrix exponential in the time domain for transient analysis, overcoming limitations of Laplace domain methods.
- Utilizing the transient probability mass function of queue length to estimate performance metrics.
Main Results:
- Equilibrium performance measures for coupled QBD processes were determined.
- A novel, efficient method for computing the transient probability distribution of QBD processes in the time domain was demonstrated.
- Transient performance measures, including expected queue length, average delay, and tail distribution, can be estimated.
Conclusions:
- The proposed QBD model accurately represents coupled queues in dual-core processors.
- Direct time-domain computation of the matrix exponential enables efficient transient analysis, improving performance evaluation.
- This research facilitates the design of improved adaptive routing algorithms for enhanced system performance.
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