Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees
The paper deals with the role of automation of work distribution among employees of an enterprise. The proposed mathematical method for work distribution among enterprise employees is based on calculation of components of correspondence vector, matrices of agreement and disagreement and resulting in...
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| Опубліковано в: : | Економічний вісник Донбасу |
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| Дата: | 2016 |
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Інститут економіки промисловості НАН України
2016
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| Цитувати: | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees / L. Nechvoloda, E. Ivchenkova, K. Pylipenko // Економічний вісник Донбасу. — 2016. — № 4 (46). — С. 120–123. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859610995353190400 |
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| author | Nechvoloda, L. Ivchenkova, E. Pylipenko, K. |
| author_facet | Nechvoloda, L. Ivchenkova, E. Pylipenko, K. |
| citation_txt | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees / L. Nechvoloda, E. Ivchenkova, K. Pylipenko // Економічний вісник Донбасу. — 2016. — № 4 (46). — С. 120–123. — Бібліогр.: 6 назв. — англ. |
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| container_title | Економічний вісник Донбасу |
| description | The paper deals with the role of automation of work distribution among employees of an enterprise. The proposed mathematical method for work distribution among enterprise employees is based on calculation of components of correspondence vector, matrices of agreement and disagreement and resulting in decision making that simplifies manager’s work.
У статті розглянуто роль автоматизації при розподілi робіт між співробітниками підприємства, запропоновано математичний метод для розподілу робіт між співробітниками підприємства, заснований на розрахунку компонентів вектора відповідності, матриць згод і незгоди і виведення прийняття рішення, що дозволяє полегшити роботу керуючому.
В статье рассмотрена роль автоматизации при распределении работ между сотрудниками предприятия, предложен математический метод для распределения работ между сотрудниками предприятия, основанный на расчете компонентов вектора соответствия, матриц согласий и несогласия и вывода принятия решения, позволяющий облегчить работу управляющему.
|
| first_indexed | 2025-11-28T12:02:42Z |
| format | Article |
| fulltext |
L. Nechvoloda, E. Ivchenkova, K. Pylipenko
120
Економічний вісник Донбасу № 4(46), 2016
UDC 338.45:330.46:004
L. Nechvoloda,
PhD (Technique),
E. Ivchenkova,
PhD (Economscs),
K. Pylipenko,
Donbas State Machine-Building Academy, Kramatorsk
INCREASE IN COMPETITIVE CAPACITY OF INDUSTRIAL ENTERPRISE
THROUGH CREATION OF AUTOMATION SYSTEM OF THE PROCESS
OF WORK DISTRIBUTION AMONG EMPLOYEES
Statement of the problem. Nowadays the theory
and practice of management dictate a new approach to
personnel managing. Within it’s context manpower re-
sources of enterprises and organizations are considered
as the most valuable resource and the development of
their potential as an important strategic task of enter-
prises to reach a success [1].
The modern market of information technologies
offers a wide range of program products to solve actual
problems of personal control and optimize business-pro-
cesses at enterprises with different levels of organiza-
tional development and different tendencies of their ac-
tivity.
Automatic personnel management systems allow
to record employees, issue and register orders, follow
the course of holidays, get various analytical infor-
mation, and decide a lot of other problems.
At present there are quite a lot of managerial sys-
tems of personnel presented as complex programs cov-
ering the whole range of tasks for managing manpower
resources and strictly specialized solutions. The cost of
such systems can reach hundreds of thousands dollars
[2].
The task of personnel selection to fulfill work is an
important part of enterprise operation. The right nomi-
nation of an employee for doing work can not only raise
labour productivity and personnel loyalty but also enter-
prise income and can substantially influence its compet-
itive capacity.
In spite of the fact that there are a lot of program
products for solution of actual problems on personnel
management, the appointment of employees is mainly
carried out “by hand”, that is by heads of departments,
shops, and other divisions whose decisions are based on
their professional experiences and common sense. How-
ever, the given base is not sound enough and with the
growth of task volumes, decrease in admissible time of
reaction to external influence, increase in the number of
criteria, which must be taken into consideration while
making an optimal decision, the problem situations for
managers are possible.
Work distribution among employees is fixed in the
existing program products on personnel managing but
decision making concerning personnel appointments is
strictly based on head’s preferences. In this connection
automation of the process of work distribution among
employees with the help of mathematical methods is ur-
gent.
Analysis of the latest investigations and publica-
tions. During automation of the processes of manpower
management the automation of personnel placement in
accordance with jobs and tasks on the basis of em-
ployee’s potential but not of his post plays an important
part.
From mathematical point of view the task of per-
sonnel appointments by jobs with consideration for their
professional, socio-communicative, personal, generally
cultural, and other criteria is formulated as multi-crite-
rion appointment problem.
The problem is stated as the problem of distribution
of different subjects by different objects taking into con-
sideration the characteristics of the subjects, which to a
certain extent must correspond to the objects’ require-
ments.
There are a lot of approaches to the solution of cer-
tain problems. These approaches are considered in the
papers by O.I. Larichev [3], S.V. Levin, A.A. Petrik [4],
O.Y. Nikonov, O.A. Podolyak, E.V. Skakalina, V.I.
Protasov [5], A.V. Lotov, I.I. Pospelova [6], etc.
These works offer the solution of the problem con-
cerning distribution of subjects by different objects but
the effectiveness of the given method is not checked in
any software.
The purpose of this article is to work out a math-
ematical model of manpower distribution by the tasks at
an enterprise with possible realization of this model in a
program product.
Basic material of research. Among all resources
available at any enterprise manpower resources, which
are called personnel, occupy special place. Personnel is
the most important element of productive forces of an
enterprise. All members of the staff belong to it. All em-
ployees of the enterprise contribute their individual
work to the process. Therefore, the labour of each em-
ployee and the staff as a whole must be planned and or-
ganized beforehand.
L. Nechvoloda, E. Ivchenkova, K. Pylipenko
121
Економічний вісник Донбасу № 4(46), 2016
The content of the work of all members straightly
depends on a certain working place and a post of the em-
ployee, his economic role in the production process and
organizational structure. The better the functions of each
working place and the post are determined, the more
precisely it is possible to set a range of responsibilities,
the content of work of each category of employees. The
right differentiation of labour allows to place all partic-
ipants of the production process to the given working
places in terms of their personal duties and professional
business qualities. The differentiation of labour means
separation of different kinds of labour and appointing
people to fulfill these kinds of work.
Computerization of personnel work of any enter-
prise in modern conditions is one of the key tendencies
of its development and competitiveness in the market.
As the automatic processing of personal data, mak-
ing personal decisions, automation of separate person-
nel procedures and technologies provide not only con-
siderable gain in time and advantage over competitors
but also decrease in material expenses and other risks.
In order to automate the process of optimal ap-
pointment of employees to fulfilling their work a math-
ematical model is used.
The appointment of employees to the jobs with re-
gard to their professional, socio-communicative, per-
sonal, cultural and other criteria from mathematical
point of view is called multi-criterion appointment prob-
lem (MAP). Structure and composition of indices nec-
essary for recording labour potential of employees are
presented in fig. 1.
There are all possible mathematical approaches to
the solution of specific problems such as: theoretical and
play approach to the solution of a multi-criterion ap-
pointment problem, approaches based on the methods of
genetic consultation, indistinct logic, approaches based
on algorithms of ordinal normalization of criteria, on
man-machine procedures, etc.
There are several variants for work and employees
distribution.
1. Number of employees coincides with number of
tasks.
2. Number of tasks is fewer than number of em-
ployees.
3. Number of tasks is more than number of employ-
ees.
Fig. 1. Composition and structure of indices of employees’potential
To solve the variant when the number of tasks is
more than the number of employees it is necessary to
take into account the operation flow chart. While draw-
ing up a chart it is necessary to have regard to the avail-
ability of man-power resources as simultaneous fulfill-
ment of some operations due to restrictions may turn out
impossible.
This paper deals with the method of solution of
multi-criterion appointment problem based on man-ma-
chine procedures, which offers the solution for the first
and the second variants without considering the opera-
tion flow chart.
The person, who makes a decision (PMD), whom
to appoint to a definite kind of work interacts with the
COMPETENCES
Key indices of
effectiveness (KI)
Professional
_________________
Socio-communicative
_________________
Personal
_________________
Generally cultural
Vector of significant
indices (competences)
L. Nechvoloda, E. Ivchenkova, K. Pylipenko
122
Економічний вісник Донбасу № 4(46), 2016
system placing his/her preferences as weight coeffi-
cients, and the system in its turn helps PMD (enterprise
manager) make a choice.
There are two initial sets with n elements in each.
Each of them is characterized on the basis of estimations
by N criteria:
− C (C1, C2,…,Ci,…, Cn) – a set elements of
which are called subjects (employees);
− (O1, O2,…,Oj,…On) – a set elements of which
are called objects (jobs);
− K= (K1, K2,…,KN) – a set of estimation criteria
of subjects and objects.
Based on the preferences of PMD (manager) it is
necessary to find an effective solution with maximum
possible number of best, from the PMD point of view,
appointments. Each estimation on the criterion scale has
two definitions reflecting mutual demands and possibi-
lities of elements of two sets. The criterion scales are
ordinal as a rule with a few number of evaluations ad-
justed from better to worse. The evaluations can be both
verbal and numerical.
One part of the criteria reflects demands of subjects
and possibilities of objects, the other one – demands of
objects and possibilities of subjects by their satisfaction.
Criterion correspondence is the difference by one
of the criteria between demands of a subject (an object)
and possibilities of an object (a subject). The demands
of i-element by k-criterion (Tikp) are satisfied by the pos-
sibilities of j-element by k-criterion (Vjkt) if p > t. In so
doing the criterion correspondence is ideal.
Let’s call pair {Ci, Oj} an ideal appointment, all
their mutual demands are completely satisfied by all cri-
teria, that is all criterion correspondences are ideal.
Let’s call any pair {Ci, Oj} formed of two elements
belonging to different initial sets an appointment. There
is a set of (n ⋅ n) appointments {Ci, Oj}, i, j =1,2,…,n, for
two initial sets with n elements C and O.
Let’s call the unit diagonal matrix M(n ⋅ n) diagonal
elements of which correspond to the appointments form-
ing a decision as a solution of a multi-criterion appoint-
ment problem. Notice that the number of possible solu-
tions for dimensionality of the initial sets C {n} and
O {n} comes to n!.
Then the appointments are ranked, that is each pos-
sible appointment must have a rank reflecting its quality
from the point of view of PMD. In that case any solution
of MAP can be characterized by a complex of ranks of
separate appointments having formed the decision.
On the basis of PMD preferences it is necessary to
determine and choose out of a great number of effective
decisions such a decision for which the sum of ranks of
the best quality S appointments (S ≤ n) is minimum.
The algorithm for solution of the problem of work
distribution among employees is as follows.
1. It is necessary to carry out a formal data analysis
without PMD participation. Formally the relationship
between elements of the two sets (subjects and objects)
may be characterized by correspondence vector Rij
(i,j =1,2…,n), where k component defines the degree of
correspondence of elements characteristics by k crite-
rion. So at the stage of data analysis the concept “crite-
rion correspondence by N-criterion” is an equivalent to
the component of correspondence vector which is calcu-
lated in the following way:
0, ( )
,
,
ikp jkq
ijk
k ikp jkq
if T V p q
R
r if T V
≤ ≥= >
(1)
where Tikp – demand of i-element of one set (subject or
object) expressed by p-evaluation on the demand scale
by k-criterion;
Vjkq – corresponding possibilities of j-element of
another set expressed by q-evaluation on the possibility
scale of the same k-criterion;
rk – number of evaluations on the k-criterion
scale, where demands exceed possibilities.
2. An aggregated criterion – curtailment of the cor-
respondence vector (Gij) is formed for each vector of
correspondence. The value of the curtailment is calcu-
lated as a sum of declinations of each component of the
correspondence vector.
( )ij ijkG SUM R= , (2)
3. The set, which is not included in the ideal ap-
pointment Gij ≠ 0, is divided into three subsets: I+ – sub-
set of criteria according to which A (employee 1) is
preferable to B (employee 2); I= – subset of criteria
according to which A is equal to B; I- – subset of criteria
according to which B is preferable to A.
4. PMD allocates points (weight coefficients) of
importance for the criteria (Wi) for each subject. The in-
dex of agreement with the hypothesis about superiority
of A over B is formulated.
The index of agreement is calculated on the basis
of weight criteria:
.
i
i I
A B N
i
i I
W
C
W
+
−
∈
∈
=
(3)
5. The index of disagreement dAB with the hypoth-
esis about superiority of A over B is defined on the basis
of the most “contradictory” criterion – the criterion by
which B to the greatest extent excels A.
max ,
i i
B A
AB i I
i
l l
d
l
−∈
−= (4)
6. The levels of agreement (a) and disagreement (d)
are designated and the calculated indices for each alter-
native pair are compared with them. If CAD ≥ a and
L. Nechvoloda, E. Ivchenkova, K. Pylipenko
123
Економічний вісник Донбасу № 4(46), 2016
dAB ≤ d, then alternative A (employee 1) excels alter-
native B (employee 2).
7. One alternative is selected out of multitude of
alternatives, it excels all the others. The given alterna-
tive wins and is put on the first place (the employee who
suits best), the second place is occupied by the alterna-
tive that excels less quantity of alternatives and so on.
Conclusion. Computerization of personal work of
any enterprise in modern conditions is one of the key
tendencies of its development and competitive capacity
in the market. Automation of the process of manpower
resources management stipulates an important role of
automation of personnel placement in accordance with
jobs and tasks reasoning from employee’s potential but
not from the occupied post.
As a result of the analysis of the existing mathe-
matical methods for optimal work distribution among
employees a new mathematical method has been pro-
posed. It is based on man-machine procedures, calculat-
ing a correspondence vector, agreement and disagree-
ment matrices, allowing an enterprise manager to sim-
plify making a decision.
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лова. – М.: МАКС Пресс, 2008. – 197 с.
Нечволода Л. В., Івченкова О. Ю., Пилипен-
ко К. В. Підвищення конкурентоспроможності
промислового підприємства за рахунок ство-
рення системи автоматизації процесу розподілу
робіт між співробітниками
У статті розглянуто роль автоматизації при роз-
поділi робіт між співробітниками підприємства, за-
пропоновано математичний метод для розподілу ро-
біт між співробітниками підприємства, заснований
на розрахунку компонентів вектора відповідності,
матриць згод і незгоди і виведення прийняття рі-
шення, що дозволяє полегшити роботу керуючому.
Ключові слова: багатокритеріальна задача про
призначення, критерії, альтернатива, ЛПР, індекс
згоди, індекс незгоди, множина, вагові коефіцієнти,
конкурентоспроможність.
Нечволода Л. В., Ивченкова Е. Ю., Пили-
пенко Е. В. Повышение конкурентоспособности
промышленного предприятия за счет создания
системы автоматизации процесса распределения
работ между сотрудниками
В статье рассмотрена роль автоматизации при
распределении работ между сотрудниками предпри-
ятия, предложен математический метод для распре-
деления работ между сотрудниками предприятия,
основанный на расчете компонентов вектора соот-
ветствия, матриц согласий и несогласия и вывода
принятия решения, позволяющий облегчить работу
управляющему.
Ключевые слова: многокритериальная задача о
назначениях, критерии, альтернатива, ЛПР, индекс
согласия, индекс несогласия, множество, весовые
коэффициенты, конкурентоспособность.
Nechvoloda L., Ivchenkova E., Pylypenko K. In-
crease in competitive capacity of industrial enter-
prise through creation of automation system of the
process of work distribution among employees
The paper deals with the role of automation of
work distribution among employees of an enterprise.
The proposed mathematical method for work distribu-
tion among enterprise employees is based on calculation
of components of correspondence vector, matrices of
agreement and disagreement and resulting in decision
making that simplifies manager’s work.
Keywords: multi-criterion, appointment, alterna-
tive, decision making, correspondence, agreement in-
dex, disagreement index, weight coefficient, competi-
tive capacity.
Received by the editors: 25.11.2016
and final form 28.12.2016
|
| id | nasplib_isofts_kiev_ua-123456789-114913 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1817-3772 |
| language | Ukrainian |
| last_indexed | 2025-11-28T12:02:42Z |
| publishDate | 2016 |
| publisher | Інститут економіки промисловості НАН України |
| record_format | dspace |
| spelling | Nechvoloda, L. Ivchenkova, E. Pylipenko, K. 2017-03-19T12:18:40Z 2017-03-19T12:18:40Z 2016 Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees / L. Nechvoloda, E. Ivchenkova, K. Pylipenko // Економічний вісник Донбасу. — 2016. — № 4 (46). — С. 120–123. — Бібліогр.: 6 назв. — англ. 1817-3772 https://nasplib.isofts.kiev.ua/handle/123456789/114913 338.45:330.46:004 The paper deals with the role of automation of work distribution among employees of an enterprise. The proposed mathematical method for work distribution among enterprise employees is based on calculation of components of correspondence vector, matrices of agreement and disagreement and resulting in decision making that simplifies manager’s work. У статті розглянуто роль автоматизації при розподілi робіт між співробітниками підприємства, запропоновано математичний метод для розподілу робіт між співробітниками підприємства, заснований на розрахунку компонентів вектора відповідності, матриць згод і незгоди і виведення прийняття рішення, що дозволяє полегшити роботу керуючому. В статье рассмотрена роль автоматизации при распределении работ между сотрудниками предприятия, предложен математический метод для распределения работ между сотрудниками предприятия, основанный на расчете компонентов вектора соответствия, матриц согласий и несогласия и вывода принятия решения, позволяющий облегчить работу управляющему. uk Інститут економіки промисловості НАН України Економічний вісник Донбасу Marketing Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees Підвищення конкурентоспроможності промислового підприємства за рахунок створення системи автоматизації процесу розподілу робіт між співробітниками Повышение конкурентоспособности промышленного предприятия за счет создания системы автоматизации процесса распределения работ между сотрудниками Article published earlier |
| spellingShingle | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees Nechvoloda, L. Ivchenkova, E. Pylipenko, K. Marketing |
| title | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees |
| title_alt | Підвищення конкурентоспроможності промислового підприємства за рахунок створення системи автоматизації процесу розподілу робіт між співробітниками Повышение конкурентоспособности промышленного предприятия за счет создания системы автоматизации процесса распределения работ между сотрудниками |
| title_full | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees |
| title_fullStr | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees |
| title_full_unstemmed | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees |
| title_short | Increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees |
| title_sort | increase in competitive capacity of industrial enterprise through creation of automation system of the process of work distribution among employees |
| topic | Marketing |
| topic_facet | Marketing |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/114913 |
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