Optimal control of a process with discrete and continuous decision variables

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Publication Type technical report
School or College College of Engineering
Department Computing, School of
Creator Templeton, Frederick E.
Other Author Hankley, William J.
Title Optimal control of a process with discrete and continuous decision variables
Date 1970
Description The task of dynamic optimization consists of manipulating the inputs to a dynamic system (i.e., one in which the state varies with time) so that the system performs in an advantageous manner. This paper presents a systematic technique for solving the problem of optimally controlling a converter aisle in a copper smelter. The converter aisle is distinguished from the usual dynamic system in that some of the control variables occur as discrete decisions while others may vary continuously with time. In this sense, the converter aisle typifies many industrial processes. The aisle is viewed as a total system with the objective of optimizing overall performance as evaluated using a mathematical performance criterion. Typical criteria reflect total processing time and operating costs. An essential step towards optimization is the development of a mathematical model to predict the state of the system. a simple mathematical model of the converter aisle is developed and using this model, two optimization approaches are examined: direct optimization of the total system and partitioning the system into interacting subproblems. The partitioned approach is pursued in detail with techniques for solving the optimization subprobelms presented and illustrated by numerical examples.
Type Text
Publisher University of Utah
Subject Dynamic optimization; Decision variables; Converter aisle; Copper smelter
Subject LCSH Copper smelting -- Computer programs
Language eng
Bibliographic Citation Templeton, F. E., & Hankley, W. J. (1970). Optimal control of a process with discrete and continuous decision variables. 1-117. UTEC-CSc-70-107.
Series University of Utah Computer Science Technical Report
Relation is Part of ARPANET
Rights Management ©University of Utah
Format Medium application/pdf
Format Extent 47,658,774 bytes
Identifier ir-main,16083
ARK ark:/87278/s6988r3j
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2015-04-24
ID 702448
Reference URL https://collections.lib.utah.edu/ark:/87278/s6988r3j
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