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Production Control of a Pulp and Paper Mill

Pettersson, Bengt (1970)
Abstract
A summary of a study devoted to computerized scheduling of a complex

integrated pulp and paper mill is presented. A mathematical model of the mill was built and the scheduling problem was formulated as an optimal control problem for a multivariable deterministic system.



The mill is described by a linear, first-order, vectorvalued

differential equation. The control system consists of 10 state

variables and 9 control variables. A method of solution based upon the

Pontryagin maximum principle was developed. The maximum principle leads

to a boundary value problem for which no straightforward solution is

available. A major part of the work was the development of a... (More)
A summary of a study devoted to computerized scheduling of a complex

integrated pulp and paper mill is presented. A mathematical model of the mill was built and the scheduling problem was formulated as an optimal control problem for a multivariable deterministic system.



The mill is described by a linear, first-order, vectorvalued

differential equation. The control system consists of 10 state

variables and 9 control variables. A method of solution based upon the

Pontryagin maximum principle was developed. The maximum principle leads

to a boundary value problem for which no straightforward solution is

available. A major part of the work was the development of a feasible

computational procedure. The minimization of the Hamiltonian leads to a

linear programming problem with 50 rows and 40 columns. The numerical

algorithm developed is feasible for a process computer. The off-line

execution time is about 20 minutes on an IBM 1800.



The production control system was implemented in practice at the

Gruvon mill of Billeruds AB in November 1969. It has been in continuous

operation since then. Experience from the first six months of operation

is described. (Less)
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author
organization
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type
Thesis
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published
subject
publisher
Department of Automatic Control, Lund Institute of Technology
language
English
LU publication?
no
id
c843bea4-18f8-45a7-9830-f0babb1fd59d (old id 8523855)
date added to LUP
2016-02-01 09:30:55
date last changed
2016-09-19 08:44:55
@misc{c843bea4-18f8-45a7-9830-f0babb1fd59d,
  abstract     = {A summary of a study devoted to computerized scheduling of a complex<br/><br>
integrated pulp and paper mill is presented. A mathematical model of the mill was built and the scheduling problem was formulated as an optimal control problem for a multivariable deterministic system. <br/><br>
<br/><br>
The mill is described by a linear, first-order, vectorvalued<br/><br>
differential equation. The control system consists of 10 state<br/><br>
variables and 9 control variables. A method of solution based upon the<br/><br>
Pontryagin maximum principle was developed. The maximum principle leads<br/><br>
to a boundary value problem for which no straightforward solution is<br/><br>
available. A major part of the work was the development of a feasible<br/><br>
computational procedure. The minimization of the Hamiltonian leads to a<br/><br>
linear programming problem with 50 rows and 40 columns. The numerical<br/><br>
algorithm developed is feasible for a process computer. The off-line<br/><br>
execution time is about 20 minutes on an IBM 1800.<br/><br>
<br/><br>
The production control system was implemented in practice at the<br/><br>
Gruvon mill of Billeruds AB in November 1969. It has been in continuous<br/><br>
operation since then. Experience from the first six months of operation<br/><br>
is described.},
  author       = {Pettersson, Bengt},
  language     = {eng},
  note         = {Licentiate Thesis},
  publisher    = {Department of Automatic Control, Lund Institute of Technology},
  title        = {Production Control of a Pulp and Paper Mill},
  year         = {1970},
}