Volume 04 Issue 01-2024
52
International Journal Of Management And Economics Fundamental
(ISSN
–
2771-2257)
VOLUME
04
ISSUE
01
P
AGES
:
52-54
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.
448
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
ABSTRACT
For the application of economic and mathematical methods in practical activities in modern conditions, material,
scientific and personnel prerequisites have been created. Their use makes it possible to carry out complex and very
time-consuming calculations that were previously impossible. The article considers economic and mathematical
methods, features of their application in livestock.
KEYWORDS
Economic mathematical modeling, livestock, optimal feed ration, types of feed, zootechnical limits, minimum cost.
INTRODUCTION
Development of the optimal feed ration of livestock is
of great importance in animal husbandry. The need to
develop an optimal feed ratio is related to the demand
for complete feeding of livestock and the goal of
obtaining maximum livestock products with the lowest
cost of labour, material and monetary resources,
fodder, etc. in animal husbandry. In addition, the need
to develop an optimal feed ratio is explained by the
fact that different feed - hashaks contain the same type
of components, but these components are in different
amounts. Therefore, some nutrients can be replaced
with other nutrients. But economically, such a
Research Article
ECONOMIC-MATHEMATICAL MODELS OF DEVELOPMENT OF OPTIMAL
FEED RATION FOR LIVESTOCK
Submission Date:
January 11, 2024,
Accepted Date:
January 16, 2024,
Published Date:
January 21, 2024
Crossref doi:
https://doi.org/10.37547/ijmef/Volume04Issue01-09
Sauxanov Janibek Kazievich
Professor, Karakalpak State University, Uzbekistan
Beknazarova Gulnara Jumabaevna
Independent Researcher, Karakalpak State University, Uzbekistan
Journal
Website:
https://theusajournals.
com/index.php/ijmef
Copyright:
Original
content from this work
may be used under the
terms of the creative
commons
attributes
4.0 licence.
Volume 04 Issue 01-2024
53
International Journal Of Management And Economics Fundamental
(ISSN
–
2771-2257)
VOLUME
04
ISSUE
01
P
AGES
:
52-54
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.
448
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
substitution is justified in cases where the cost of a unit
of the nutritional value of a feed is lower than the cost
of a corresponding unit of another feed. Nutritious
feeding of cattle is the basis for high productivity and
productivity of adult cattle, helping young cattle to
develop well and increase their live weight, which in
turn is of great importance in increasing the efficiency
of livestock farming.
Mathematical-economic modelling is the expression of
economic processes and events through mathematical
equations, inequalities, and functional, logical
schemes.
Taking into account zootechnical and economic
requirements, it is very difficult to calculate the optimal
feed ration using traditional selection methods, and
with a large collection of fodder it is almost impossible,
therefore it is desirable to solve the problem using
economic-mathematical
methods
and
digital
technologies.
To ensure the planned (intended) productivity, the
ration should contain at least the required amount of
nutrients in zootechnically acceptable proportions of
separate groups and types of feed. The content of
feeds in separate groups should not exceed the
specified level.
As a criterion of optimality, the economic indicators of
the ratio are considered. The most common of them is
the cost of the ration. In addition, the criterion of
optimality can be the minimum weight of the ration or
the optimal ratio of feed units and digestible proteins.
Often, in the formulation of the problem in production,
the optimality criterion is used according to the first
option - the minimum cost of the ration.
After that, it is necessary to determine the meaning of
the main and auxiliary variables of the problem, the
content of the main and additional constraints.
Therefore, the main variables of the economic-
mathematical problem are the feed available on the
livestock farm and the feed and various mineral,
protein and vitamin supplements that the farm can
purchase. The measurement units of these variables
depend on the type of livestock and the period for
which the ratio is calculated. The auxiliary variables of
the matter reflect the total amount of nutrient units in
the diet and the total amount of digestible protein. The
need to include auxiliary variables is related to the
establishment
of zootechnical limits of the
composition of individual feed groups. The main
limitations of the economic-mathematical problem are
the conditions of nutrient balance. The technical and
economic coefficients of the variables in the main
restrictions indicate the content of nutrients in the unit
weight of the feed. In the diet, additional restrictions
are set on the composition of feed groups by
zootechnical standards. With the help of auxiliary
restrictions, the total number of nutrient units and
digestible proteins in the diet is recorded [1].
To develop an economic-mathematical model of the
optimal feed ration of livestock, the following is
proposed: to determine for which sex and age groups
Volume 04 Issue 01-2024
54
International Journal Of Management And Economics Fundamental
(ISSN
–
2771-2257)
VOLUME
04
ISSUE
01
P
AGES
:
52-54
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.
448
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
the ration is calculated; determine the period for which
the ration is calculated; to determine the physiological
state of livestock and productivity during this period;
study of the state of the fodder base of the economy;
determining the daily need for nutrients of livestock;
determining the types of feed grown on the farm and
included in the diet; determine the physiologically
acceptable limits of the introduction of different
groups of nutrients and supplements into the diet;
calculate the unit cost of each fodder type.
All restrictions of economic content in the model can
be divided into the following groups:
1) according to the balance of nutrients;
2) according to the content of dry matter;
3) according to the relative weight of food groups in
the diet;
4) to the relative weight of feed types within the
group.
Ensuring the effective development of the livestock
sector in the market economy depends on many
factors. Consequently, the higher the level of livestock
feeding, the higher their productivity and, accordingly,
the cheapest feed cost per unit of fodder.
Therefore, the issue of feeding livestock remains one
of the most urgent problems.
REFERENCE
1.
Математическое
моделирование
экономических процессов в сельском
хозяйстве. Учебник. / Гатаулин А.М.,
Гаврилов Г.В., Сорокина Т.М. и др. Под ред.
А.М. Гатаулина. _
-
М.: Агропромиздат, 1990.
2.
X. Urdushev, R. Usmonov. Qishloq xo’jaligi
da
iqtisodiy
–
matematik usullar va modellar.
Samarqand. 2006.
3.
Sauxanov J.K. Agrar tarmoqda tashqi
samaralarni
optimal
tartiblashtirish
va
transaktsiya
xarajatlarini
pasaytirish:
muammolar,
usullar
va
modellar.
(Monografiya) T.: “Lesson Press” MChJ
nashriyoti, 2022.
