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This paper presents a method to certify the computational complexity of a standard Branch and Bound method for solving Mixed-Integer Quadratic Programming (MIQP) problems defined as instances of a multi-parametric MIQP. Beyond previous work, not only the size of the binary search tree is considered, but also the exact complexity of solving the relaxations in the nodes by using recent results from exact complexity certification of active-set QP methods. With the algorithm proposed in this paper, a total worst-case number of QP iterations to be performed in order to solve the MIQP problem can be determined as a function of the parameter in the problem. An important application of the proposed method is Model Predictive Control for hybrid systems, that can be formulated as an MIQP that has to be solved in real-time. The usefulness of the proposed method is successfully illustrated in numerical examples.

Process control

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Chemical process control. --- Chemical process control --- Automation.

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Production engineering and advanced control systems make it possible to respond to the increasing needs of nations around the world. This book presents some of the new ideas, creative applications, and process optimization methods for more efficient utilization of resources available for improving productivity and reliability or lessening the times and costs of industrial production processes. It presents a variety of chapters on the development of production techniques and systems including abrasive waterjet machining, additive manufacturing, and production management. It also discusses the methods used for the development and improvement of control mechanisms with the objective of improving the reliability and efficiency of production systems. This book is useful for researchers, engineers, and experts working in different areas of production engineering and manufacturing control systems.

Production engineering. --- Process control.

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Process control --- Data processing.

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Production engineering and advanced control systems make it possible to respond to the increasing needs of nations around the world. This book presents some of the new ideas, creative applications, and process optimization methods for more efficient utilization of resources available for improving productivity and reliability or lessening the times and costs of industrial production processes. It presents a variety of chapters on the development of production techniques and systems including abrasive waterjet machining, additive manufacturing, and production management. It also discusses the methods used for the development and improvement of control mechanisms with the objective of improving the reliability and efficiency of production systems. This book is useful for researchers, engineers, and experts working in different areas of production engineering and manufacturing control systems.

Production engineering. --- Process control.