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Synopsis
Excerpt from A Multivariate Adaptive Control Model A specialized multivariate adaptive control model is developed. Each of r control variables is to be set in each of a sequence of time periods. The process being controlled has a response (profit) function that is the sum of a constant plus linear and quadratic forms in the control variables. The coefficients of the quadratic form are assumed to be known constants, those of the linear form to change with time as first order, autoregressive processes. Information about the changing coefficients is collected by performing a 2r factorial experiment on a subportion of the process being controlled. Provision is also made for adding further information from unspecified sources. Bayesian methods are used to update distributions of the unknown coefficients. The values of the control variables are set to maximize the sum of discounted future profits, as arc the experimental design parameters. The probabilistic assumptions of the model are chosen so that all distributions are normal with known variances and, for the most part, zero covariances between variables. Partly as a result of this, optimal control turns out to involve rather simple exponential smoothing rules. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from A Multivariate Adaptive Control Model
(1) A process is to be controlled by setting a single control variable in each of a sequence of time periods.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"About this title" may belong to another edition of this title.
- PublisherForgotten Books
- Publication date2020
- ISBN 10 1332270883
- ISBN 13 9781332270880
- BindingPaperback
- LanguageEnglish
- Number of pages59
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A Multivariate Adaptive Control Model (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a highly specialized multivariate adaptive control model aimed at optimizing decision-making processes involving multiple variables. Drawing inspiration from previous research on single-variable control, the author extends the model to handle multiple control variables, each of which affects a response function in a linear and quadratic manner. The model incorporates an experimental design component utilizing a 2r factorial experiment to gather information and update distributions of unknown coefficients. The author employs Bayesian methods to calculate optimal control settings based on discounted future profits, considering both operational costs and experimental design parameters. The book's strength lies in its detailed justification of optimization results through dynamic programming arguments and its focus on simplicity of operation. Optimal control is achieved through straightforward exponential smoothing rules, making the model accessible and practical for real-world applications. By providing a comprehensive framework for adaptive control in complex, multivariate systems, this book offers valuable insights into the optimization of decision-making processes across a broad range of disciplines. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332270880_0
Quantity: Over 20 available
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A Multivariate Adaptive Control Model Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332270880
Quantity: 15 available
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A Multivariate Adaptive Control Model Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332270880
Quantity: 15 available