THE ANALYSIS OF LIQUID MILK SUPPLY TO URBAN AGGLOMERATION BY
BICRITERION LINEAR TRANSPORTATION MODEL WITH THE MPSX/370 PACKAGE
W. szymanowski
1
and W. ogryczak
2
lAgricultural University of Warsaw
Warszawa, Poland
2Institute of Informatics
Warsaw University
Warsaw, Poland
Abstract
In the paper we formulate a bicriterion linear transportation model
to analyse the raw milk supply for an urban agglomeration. The model
has been verified for Warsaw. To solve the bicriterion model the lexi-
cographic as well as the parametric methods were used. The model can
be considered as an element of a Multicriterial Decision Support Sys-
tem of raw milk supply for Warsaw.
1. Introduction
The rapid growth of the urban population as well as the nutrition
value of milk have caused a fast increase in the milk production and
consumption. In 1984 the consumption of liquid milk in Polish big ci-
ties was on the level of 1.2 milliard litres, that is 46 percent of
total amount of liquid milk produced in Poland. The amount of the
collected raw milk around large agglomerations lags behind the incre-
ase in the consumption of liquid milk in big cities. Warsaw was the
best example of this problem. In 1984, the modelled system of milk
supply to Warsaw consisted of four stages. The system covered 38 re-
gional milk cooperatives in 9 districts of Poland, which supplied
about 210 million litres of raw milk to four city milk plants in
Warsaw. The raw milk was transported each day from more than 63
thousand suppliers through almost 18000 permanent milk reception sta-
tions. 50 percent of that amount was delivered from the Warsaw District
The expansion of the milk transfer area to supply Warsaw resulted in
an increase of the transportation radius as well as in higher trans-
portartion costs.
The forecast of the Central Union of Dairy Cooperatives determines
that in 1990 raw milk collected around Warsaw will cover 20.7 percent
of total amount of milk consumption. Till the 2 000, the gap between
supply and demand for the raw milk will be much deeper. It also have
an influence on the energy consumption, because the dairy industry
is one of the most energy intensive industries between food
A. G. Lockett et al. (eds.), Improving Decision Making in Organisations
© Springer-Verlag Berlin Heidelberg 1989