Abstract

Many critical complex systems and networks are continuously monitored, creating vast volumes of data describing their dynamics. To understand and optimize their performance, we need to discover and formalize their dynamics to enable their control. Here, we introduce a multidisciplinary framework using network science and control theory to accomplish these goals. We demonstrate its use on a meaningful example of a complex network of U.S. domestic passenger airlines aiming to control flight delays. Using the real data on such delays, we build a flight delay network for each airline. Analyzing these networks, we uncover and formalize their dynamics. We use this formalization to design the optimal control for the flight delay networks. The results of applying this control to the ground truth data on flight delays demonstrate the low costs of the optimal control and significant reduction of delay times, while the costs of the delays unabated by control are high. Thus, the introduced here framework benefits the passengers, the airline companies and the airports.

Highlights

  • Many critical complex systems and networks are continuously monitored, creating vast volumes of data describing their dynamics

  • We developed a generic data-driven framework for an optimal control of networked systems that focuses on system ­failures[5,53,56,63]

  • We estimate the optimal parameters for a model of nonlinear dynamics of the flight delay propagation mechanism

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Summary

Introduction

Many critical complex systems and networks are continuously monitored, creating vast volumes of data describing their dynamics. We demonstrate its use on a meaningful example of a complex network of U.S domestic passenger airlines aiming to control flight delays. Using the real data on such delays, we build a flight delay network for each airline Analyzing these networks, we uncover and formalize their dynamics. Very few papers focus on mitigating delay propagation in airport networks Among those with such focus the most relevant is Ref.[8] whose approach models air traffic delay dynamics as topology transitions among a discrete modes of airport networks. Each such mode is associated with one characteristic airport topology. Physical aspects of our control strategy are inexpensive, making it economical to apply

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