1.

Record Nr.

UNINA9910299774103321

Autore

Diwekar Urmila

Titolo

BONUS Algorithm for Large Scale Stochastic Nonlinear Programming Problems [[electronic resource] /] / by Urmila Diwekar, Amy David

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Springer, , 2015

ISBN

1-4939-2282-3

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (154 p.)

Collana

SpringerBriefs in Optimization, , 2190-8354

Disciplina

519.7

Soggetti

Operations research

Management science

System theory

Dynamics

Ergodic theory

Algorithms

Operations Research, Management Science

Systems Theory, Control

Dynamical Systems and Ergodic Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1. Introduction -- 2. Uncertainty Analysis and Sampling Techniques -- 3. Probability Density Functions and Kernel Density Estimation -- 4. The BONUS Algorithm -- 5. Water Management under Weather Uncertainty -- 6. Real Time Optimization for Water Management -- 7. Sensor Placement under Uncertainty for Power Plants -- 8. The L-Shaped BONUS Algorithm -- 9. The Environmental Trading Problem -- 10. Water Security Networks -- References -- Index.

Sommario/riassunto

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.