the Nest of Students

Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject.

Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution.

The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations.
An essential book for anyone working on optimization and decision making under uncertainty, Robust Optimization also makes an ideal graduate textbook on the subject.

This book provides a new, necessary and valuable approach to the consideration of risk in underground engineering projects constructed within rock masses. There are Chapters on uncertainty and risk, rock engineering systems, rock fractures and rock stress, the design of a repository for radioactive waste, plus two major case examples relating to the headrace tunnels and caverns for a hydroelectric project. These Chapters highlight in detail the authors’ new rock engineering risk approach, especially how monitoring during construction can significantly reduce the construction risks. The book is particularly timely given the current increasing emphasis on geo-engineering safety, accountability and sustainability—which requires stricter attention to risk and greater reliability than ever before.

Written by two eminent authors, the two most recent past-Presidents of the International Society for Rock Mechanics (ISRM), this modern and well-illustrated guide on Rock Engineering Risk complements the authors’ previous 2011 book on Rock Engineering Design, also published by Taylor & Francis. The book will benefit engineers, contractors, clients, researchers, lecturers and advanced students who are concerned with rock engineering projects in civil, mining, geological and construction engineering worldwide.