### Abstract

A linear programming model of an energy production and
consumption system is a mathematical representation of
resource allocation alternatives in the system. Such a
model is developed for the solution of feasible and
optimal resource allocation schemes under different
assumptions. These assumptions define availabilities of
primary resources, technological development patterns,
requirements on final production and the objectives
applied in optimisation.
The scope of potential applications depends on the
existence of interesting resource allocation alternatives
within the boundaries of the system. In this respect
models which cover both energy production and consumption
processes are more interesting than more production
models.
Linear programming energy flow models may be dynamic,
they may be divided regionally, and they may have
stochastic features. In every case the one-period
technological resource allocation module forms the core
of the model. Dynamic, stochastic or regionally divided
models are most naturally seen as extensions of the basic
static model.
Mathematical methods of linear programming are highly
developed, and the nature of those resource allocation
questions which can be formulated as linear programming
problems is well understood. Applying linear programming
to national energy problems is, however, not always as
easy as one might expect. This is often due to the fact
that the resource allocation alternatives in the real
system are poorly known, and they are not defined with
the exactness required by the use of a mathematical
model.
In the work an approach for the construction of linear
programming energy models is proposed. The approach can
be summarised as follows: Linear programming is a
mathematical theory of resource allocation. To construct
an LP model of a system 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 problem.
The mathematical methods are thus the tools available for
the analyst, the problems to be solved define the goals
for the work, and the real system is the object of study.
Mathematical analysis leads to a better understanding of
the structure of resource allocation alternatives in the
system. This is the most valuable result of the work,
which only can be achieved by understanding the different
sides of the process: mathematics, resource allocation
problems and the real system.

Original language | English |
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Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 72 |

ISBN (Print) | 951-38-2799-2 |

Publication status | Published - 1987 |

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 | 464 |

ISSN | 0358-5077 |

### Keywords

- energy economy
- linear programming
- Finland
- energy
- energy consumption
- planning
- modelling

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## Cite this

Tamminen, E. (1987).

*A linear programming approach for the construction of energy and resource flow models*. VTT Technical Research Centre of Finland. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, No. 464