### Abstract

The linear programming (LP) model of space heating covers
the whole building stock and the main heat production
methods that can be used in meeting its heating energy
demand. The model documented in this report is a
mathematical representation of resource allocation
alternatives in this sector of the national energy
economy. It 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,
production capacities, environmental factors,
construction norms, consumption patterns and objectives
applied in optimisation.
Fuels, electricity and solar insulation are the most
important energy resources in space heating. For all
building types several heat production alternatives are
available. These alternatives differ from each other with
respect to raw energy or heat production technology. The
flows of resources, heat, emissions etc. form a network
in which an optimal flow structure is to be determined
according to the objectives defined. 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. 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 Finnish energy economy. These models
can be integrated to form a national energy 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 space heating amounts to a though study of
the real resource allocation alternatives in the heat
production-consumption 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.

Original language | English |
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Place of Publication | Espoo |

Number of pages | 54 |

Publication status | Published - 1990 |

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

### Publication series

Series | Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports |
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Number | 698 |

ISSN | 0358-5077 |

### Keywords

- energy economy
- space heating
- optimization
- linear programming
- modelling

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## Cite this

Forsström, J., & Tamminen, E. (1990).

*A linear programming energy and environment model for space heating*. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, No. 698