This book explores the creation of algorithms for decomposing queuing networks. It expands upon previous research that focused on a single queue and adapts it to multi-class queuing networks with autocorrelated service rates. The book focuses on an iterative method for computing moments of queue lengths and waiting times, presenting two methods. The first adjusts downstream arrivals by expected upstream waiting times. The second employs second moment information about delays to describe downstream arrival rates stochastically. The methods are examined in a 2-hub network, revealing the importance of deterministic effects on schedule disruptions and a phenomenon of demand smoothing when banks are narrowly spaced due to high waiting times. The book emphasizes the significance of understanding the interactions between hubs in air transportation networks and provides a tool for analyzing the propagation of delays and the effects of hub isolation strategies.
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Excerpt from Decomposition Algorithms for Analyzing Transient Phenomena in Multi-Class Queuing Networks in Air Transportation
Markov process. Ftom the simulation we obtain the matrix of observations W {win.
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