### Abstract

Original language | English |
---|---|

Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 72 |

ISBN (Print) | 951-38-3181-7 |

Publication status | Published - 1988 |

MoE publication type | D4 Published development or research report or study |

### Publication series

Series | Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports |
---|---|

Volume | 543 |

ISSN | 0358-5077 |

### Fingerprint

### Keywords

- forest products industry
- economical aspects
- modelling
- linear programming

### Cite this

*A linear programming model of forest products industries*. Espoo: VTT Technical Research Centre of Finland. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, Vol.. 543

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*A linear programming model of forest products industries*. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, vol. 543, VTT Technical Research Centre of Finland, Espoo.

**A linear programming model of forest products industries.** / Tamminen, Eero; Forsström, Juha.

Research output: Book/Report › Report

TY - BOOK

T1 - A linear programming model of forest products industries

AU - Tamminen, Eero

AU - Forsström, Juha

PY - 1988

Y1 - 1988

N2 - The linear programming model of forest products industries documented in this report is a mathematical representation of resource allocation alternatives in the production system. The model is developed for the investigation of feasible and optimal resource allocation structures under varying assumptions. These assumptions define availabilities of primary resources, process alternatives, technological development trends, marketing possibilities, requirements on final production, capacities, environmental factors and the objectives applied in optimisation. Raw wood and energy are the most important primary resources in forest industries, and in the production of paper these two primary resources substitute each other. For many paper grades, the same quantity can be produced by using energy and wood in varying proportions. The flow of resources in forest industries forms a very complicated network with many process alternatives and many ties between the processes. Combined production of process steam and electricity largely based on waste fuels from the production processes is essential for production economy. Owing to this complicated structure of the forest industries' resource allocation alternatives, a mathematical model is a necessary tool for a systematic analysis of the alternatives. The model documented here is a static, one-period model. It can be extended to a dynamic LP model or to a model which is regionally divided, and there are also other development possibilities. The model is developed as a part of a national energy model research project. The objective of the project is to develop independent models of the most important sectors of the energy economy, which can be integrated to form a national model. The approach for LP model construction applied here can be summarised as follows: Linear programming is a mathematical theory of resource allocation. To construct an LP model of forest industries amounts to a thorough study of the real resource allocation alternatives in the system. The results are documented in the form of the constraint matrix of the mathematical problem. Standard forms are developed for the definition of constraints, variables and parameters.

AB - The linear programming model of forest products industries documented in this report is a mathematical representation of resource allocation alternatives in the production system. The model is developed for the investigation of feasible and optimal resource allocation structures under varying assumptions. These assumptions define availabilities of primary resources, process alternatives, technological development trends, marketing possibilities, requirements on final production, capacities, environmental factors and the objectives applied in optimisation. Raw wood and energy are the most important primary resources in forest industries, and in the production of paper these two primary resources substitute each other. For many paper grades, the same quantity can be produced by using energy and wood in varying proportions. The flow of resources in forest industries forms a very complicated network with many process alternatives and many ties between the processes. Combined production of process steam and electricity largely based on waste fuels from the production processes is essential for production economy. Owing to this complicated structure of the forest industries' resource allocation alternatives, a mathematical model is a necessary tool for a systematic analysis of the alternatives. The model documented here is a static, one-period model. It can be extended to a dynamic LP model or to a model which is regionally divided, and there are also other development possibilities. The model is developed as a part of a national energy model research project. The objective of the project is to develop independent models of the most important sectors of the energy economy, which can be integrated to form a national model. The approach for LP model construction applied here can be summarised as follows: Linear programming is a mathematical theory of resource allocation. To construct an LP model of forest industries amounts to a thorough study of the real resource allocation alternatives in the system. The results are documented in the form of the constraint matrix of the mathematical problem. Standard forms are developed for the definition of constraints, variables and parameters.

KW - forest products industry

KW - economical aspects

KW - modelling

KW - linear programming

M3 - Report

SN - 951-38-3181-7

T3 - Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports

BT - A linear programming model of forest products industries

PB - VTT Technical Research Centre of Finland

CY - Espoo

ER -