Production Control of a Pulp and Paper Mill
(1970) In Research Reports TFRT3024 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, firstorder, 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, firstorder, 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 offline 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8523855
 author
 Pettersson, Bengt
 supervisor

 Karl Johan Åström ^{LU}
 organization
 publishing date
 1970
 type
 Thesis
 publication status
 published
 subject
 in
 Research Reports TFRT3024
 publisher
 Department of Automatic Control, Lund Institute of Technology
 ISSN
 03465500
 language
 English
 LU publication?
 no
 id
 c843bea418f845a79830f0babb1fd59d (old id 8523855)
 date added to LUP
 20160401 16:07:28
 date last changed
 20181121 20:38:54
@misc{c843bea418f845a79830f0babb1fd59d, 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, firstorder, 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 offline 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}, issn = {03465500}, language = {eng}, note = {Licentiate Thesis}, publisher = {Department of Automatic Control, Lund Institute of Technology}, series = {Research Reports TFRT3024}, title = {Production Control of a Pulp and Paper Mill}, url = {https://lup.lub.lu.se/search/ws/files/49609309/TFRT_3024.pdf}, year = {1970}, }