BONUS Algorithm for Large Scale Stochastic Nonlinear Programming Problems

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This book presents the details of the BONUS algorithm and its real world applications in areas like sensor placement in large scale drinking water networks, sensor placement in advanced power systems, water management in power systems, and capacity expansion of energy systems. A generalized method for stochastic nonlinear programming based on a sampling based approach for uncertainty analysis and statistical reweighting to obtain probability information is demonstrated in this book. Stochastic optimization problems are difficult to solve since they involve dealing with optimization and uncertainty loops. There are two fundamental approaches used to solve such problems. The first being the decomposition techniques and the second method identifies problem specific structures and transforms the problem into a deterministic nonlinear programming problem. These techniques have significant limitations on either the objective function type or the underlying distributions for the uncertain variables. Moreover, these methods assume that there are a small number of scenarios to be evaluated for calculation of the probabilistic objective function and constraints. This book begins to tackle these issues by describing a generalized method for stochastic nonlinear programming problems. This title is best suited for practitioners, researchers and students in engineering, operations research, and management science who desire a complete understanding of the BONUS algorithm and its applications to the real world.

Author(s): Urmila Diwekar, Amy David (auth.)
Series: SpringerBriefs in Optimization
Edition: 1
Publisher: Springer-Verlag New York
Year: 2015

Language: English
Pages: 146
Tags: Operations Research, Management Science; Systems Theory, Control; Dynamical Systems and Ergodic Theory; Algorithms

Front Matter....Pages i-xviii
Introduction....Pages 1-7
Uncertainty Analysis and Sampling Techniques....Pages 9-25
Probability Density Functions and Kernel Density Estimation....Pages 27-34
The BONUS Algorithm....Pages 35-56
Water Management Under Weather Uncertainty....Pages 57-66
Real-Time Optimization forWater Management....Pages 67-79
Sensor Placement Under Uncertainty for Power Plants....Pages 81-94
The L-Shaped BONUS Algorithm....Pages 95-115
The Environmental Trading Problem....Pages 117-126
Water Security Networks....Pages 127-137
Back Matter....Pages 139-146