Control Techniques for Complex Networks

Power grids, flexible manufacturing, cellular communications: interconnectedness has consequences. This remarkable book gives the tools and philosophy you need to build network models detailed enough to capture essential dynamics but simple enough to expose the structure of effective control solutions and to clarify analysis. Core chapters assume only exposure to stochastic processes and linear algebra at the undergraduate level; later chapters are for advanced graduate students and researchers/practitioners. This gradual development bridges classical theory with the state-of-the-art. The workload model that is the basis of traditional analysis of the single queue becomes a foundation for workload relaxations used in the treatment of complex networks. Lyapunov functions and dynamic programming equations lead to the celebrated MaxWeight policy along with many generalizations. Other topics include methods for synthesizing hedging and safety stocks, stability theory for networks, and techniques for accelerated simulation. Examples and figures throughout make ideas concrete. Solutions to end-of-chapter exercises available on a companion website.

電力網絡、靈活製造、蜂窩通信：互聯性帶來了後果。這本卓越的書籍提供了構建網絡模型所需的工具和理念，這些模型足夠詳細以捕捉關鍵動態，但又足夠簡單以揭示有效控制解決方案的結構並澄清分析。核心章節僅假設讀者具備本科水平的隨機過程和線性代數知識；後面的章節則針對高級研究生和研究者/從業人員。這種逐步發展將傳統理論與最新技術橋接起來。傳統單一隊列的工作負載模型成為處理複雜網絡中使用的工作負載放鬆的基礎。李雅普諾夫函數和動態規劃方程引出了著名的最大權重策略以及許多推廣。其他主題包括合成對沖和安全庫存的方法、網絡穩定性理論以及加速模擬技術。書中的例子和圖片使概念變得具體。章末練習的解答可在附帶網站上找到。