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ICID-2019 Conference
Model of distribution of homogenous resources between
suppliers and consumers
Mikhail Matveev
1[0000-0002-6528-6420]
, Semen Podvalny
2[0000-0003-1260-4883]
,
Victor Taratukhin
1[0000-0002-7619-9269]
1
Voronezh State University Voronezh, Russia
2
Voronezh State Technical University Voronezh, Russia
mgmatveev@yandex.ru, spodvalny@yandex.ru
Abstract. The model of distribution of homogenous resources from set of sup-
pliers to set of consumers. The distribution is performed by the center that rep-
resents consumer interests, according to formal criteria of matching their com-
mercial and technical requirements. The formalization of criteria is based on
fuzzy logical statements. The choice is performed based on solution of modified
transportation problem with intermediate points. The result is distribution of the
procured resources by suppliers and purchased resources by consumers, which
ensures maximum accordance to presented requirements. Analysis of the co-
influence of requirements on the distribution results is performed.
Keywords: Resources Distribution, Fuzzy Statements, Indicators Aggregation,
Transportation problem.
1 Introduction
The task of rational choice suppliers of necessary resources by consumers from given
set is well known [1]. Usually the selection is performed by commercial and technical
requirements. Such choice can be described by schema “one consumer – many sup-
pliers”. In case of purchasing homogenous (int erchangeable) resources procuring
activity could be efficiently organized using schema “many consumers – many sup-
pliers”. In this case the consumers’ requests of purchasing resources come to the cen-
tralized purchaser (center), which consolidates them into wholesale shopping lot with
corresponding discount. It is required to allocate those shopping lots between suppli-
ers with maximum correspondence between commercial requirements given by the
center and within restriction of technical requirements. After that purchased resources
is necessary to optimally allocate between consumers with maximum accordance to
technical requirements. The purchaser’s role can be performed by commercial or
public electronic trading platform. Despite of obvious profitability of the schema
“many-to-many”, the realization becomes difficult due to high labor intensity of pro-
cesses of requirements’ synthesis and analysis on the set of consumers and suppliers
as well as impossibility of manual optimization of resource assignments per consum-
ers and suppliers. The automation of decision making based on corresponding math-
ematical models and methods helps to solve those problems.