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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 feasible computational procedure. The minimization of the Hamiltonian... (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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Department of Automatic Control, Lund Institute of Technology
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English
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no
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c843bea4-18f8-45a7-9830-f0babb1fd59d (old id 8523855)
date added to LUP
2016-02-01 09:30:55
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2018-08-17 12:48:01
@misc{c843bea4-18f8-45a7-9830-f0babb1fd59d,
  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. <br/><br/>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.<br/><br/>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.},
  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},
}