Online optimization of large scale systems

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Mathematics has evolved over thousands of years from basic bookkeeping to the language of science, with its decision-support potential fully recognized in the twentieth century, thanks to advancements in computing and communication technology. Mathematical optimization has become a vital tool for planners, enabling them to reduce costs, maximize profits, and allocate scarce resources effectively. This discipline excels when precise models and high-quality data are available, leading to reliable automated control and decision-making processes. However, challenges arise when models are imprecise or data is incomplete. This book explores such scenarios, presenting problems like: how an elevator should prioritize passenger requests without prior knowledge; the adaptability of aircraft wing shapes during flight to optimize fuel consumption; the efficiency of robots navigating unknown environments; and the unpredictability of energy demand affecting power plant responsiveness. By addressing these complex issues, the text highlights the versatility and applicability of mathematical optimization in real-world situations.