The 22 references with contexts in paper I. Zaytseva V., M. Popovа V., S. Bogdanova V., A. Ermakova N. (2017) “ECONOMIC AND MATHEMATICAL METHODS OF LABOR POTENTIAL MANAGEMENT OF THE REGION” / spz:neicon:stavapk:372

1
Household income and health problems during a period of labour-market change and widening income inequalities / A. Aittomäki, P. Martikainen, O. Rahkonen, E. Lahelma // Social Science & Medicine. 2014. Vol. 100. Р. 84–92.
Total in-text references: 1
  1. In-text reference with the coordinate start=3807
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    In the research positive correlation between the labour supply volume and the size of net salaries for the USA conditions is found out. In Sweden, the reduction of the net salary for the particular level of its gross value resulted in a reduction of the labour supply
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    [1, 2]
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    . In the research [4] questions of the labour division are considered, the problems with the costs of knowledge coordination and record are studied. In the research works [15, 16] a mathematical model of the labour market self-organization for several economic sectors is developed.

2
Peichl A., Siegloch S. Accounting for labor demand effects in structural labor supply models // Labour Economics. 2012. Vol. 19, No 1. Р. 129–138.
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  1. In-text reference with the coordinate start=3807
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    In the research positive correlation between the labour supply volume and the size of net salaries for the USA conditions is found out. In Sweden, the reduction of the net salary for the particular level of its gross value resulted in a reduction of the labour supply
    Exact
    [1, 2]
    Suffix
    . In the research [4] questions of the labour division are considered, the problems with the costs of knowledge coordination and record are studied. In the research works [15, 16] a mathematical model of the labour market self-organization for several economic sectors is developed.

3
Klaauw B. From micro data to causality: Forty years of empirical labor economics // Labour Economics. 2014. Vol. 30. Р. 88–97.
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  1. In-text reference with the coordinate start=16458
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    The last decades of the 20th century and the beginning of the new millennium is characterized by the global change in attitude to the human capital and potential. In modern society a human being is the main goal and an active subject of all social and economic processes
    Exact
    [3]
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    . Researches of the formation and use of the labour potential of the region are descriptive and not numerous. However, they must be expanded and different methods should be used: economic, social, mathematical, etc., which enable to estimate the impact of the labour potential on economic development and to justify methods of its control [21].

4
Becker G. Murphy the Division of Labor, Coordination Costs and Knowledge // Quarterly Journal of Economics. 1992. No 4. Р. 1137–1160.
Total in-text references: 1
  1. In-text reference with the coordinate start=3830
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    In the research positive correlation between the labour supply volume and the size of net salaries for the USA conditions is found out. In Sweden, the reduction of the net salary for the particular level of its gross value resulted in a reduction of the labour supply [1, 2]. In the research
    Exact
    [4]
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    questions of the labour division are considered, the problems with the costs of knowledge coordination and record are studied. In the research works [15, 16] a mathematical model of the labour market self-organization for several economic sectors is developed.

5
Cloves G. A dynamic models for the analysis of labor turnover // J. Roy. Statistic. Soc. A. 1972. Р. 135.
Total in-text references: 1
  1. In-text reference with the coordinate start=17152
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    The complex nature of the problem of modeling of social and economic state dependencies of the region to support decision making in the key parameters control, in particular, the labour potential, requires unifi ed modeling methods which are used to study indicators and factors of the regional researches
    Exact
    [5, 6]
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    . The authors have developed economic and mathematical model of the labour potential optimal distribution of the region into economic sectors. The model is tested on the statistical data for Stavropol region [20].

6
Croset L., Abdelmalki D., Sandretto Dufort et R. Les Grandes Questions de l’economie internationale par // Y. Paris: Nathan. 1997. Р. 448.
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  1. In-text reference with the coordinate start=2822
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    Thereby, active employment policy, job hunting stimulation, training, professional skills, acquisition of a new profession is needed. When developing the regional employment policy, the labour potential must be used to get the best of quantitative and qualitative changes in the workforce
    Exact
    [6, 11]
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    . The basis of the labour potential is labour. The labour potential is defi ned as an interconnected complex of quantitative and qualitative characteristics of the population to perform labour activity and ensure achievements of production objectives under specifi c social and economic conditions, taking into account scientifi c and te

  2. In-text reference with the coordinate start=17152
    Prefix
    The complex nature of the problem of modeling of social and economic state dependencies of the region to support decision making in the key parameters control, in particular, the labour potential, requires unifi ed modeling methods which are used to study indicators and factors of the regional researches
    Exact
    [5, 6]
    Suffix
    . The authors have developed economic and mathematical model of the labour potential optimal distribution of the region into economic sectors. The model is tested on the statistical data for Stavropol region [20].

8
Artuc E., Lederman, D., Porto G. A mapping of labor mobility costs in the developing world // Journal of International Economics. 2015. Vol. 95, No 1. Р. 28–41.
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  1. In-text reference with the coordinate start=4546
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    The mathematical model also enables to analyze the obtained information on the stable and unstable states of the labour market for n different economic sectors and make a forecast of its state [17]. Meanwhile, the factors, which infl uence the labour potential formation, during the transition process from the labour power to the labour resources
    Exact
    [8]
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    . The concept «labour potential» should be considered as an extension of the concepts «labour power» and «labour resources». The categories «labour power» and «labour resources» are similar in their meanings, but have differences in the content.

9
List John A., Rasul I. Chapter 2 – Field Experiments in Labor Economics, In: Orley Ashenfelter and David Card, Editor(s) // Handbook of Labor Economics, Elsevier. 2011. Vol. 4, Part A. Р. 103–228.
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  1. In-text reference with the coordinate start=8546
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    In the fourth stage, the construction of multi-factor models of infl uence factor indicators allocated to the target sign. The fi fth stage is devoted to the analysis and interpretation of the model target, the formation of the forecast for decision-making in the study area
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    [9]
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    . To assess the computational effi ciency of the proposed mathematical models now there are a number of methods to optimize the dynamic properties of its own socio-economic systems.

10
Labour and Employment in the Stavropol region // Statistic Collection, Stavropol : Stavropolstat, 2012. Р. 137.
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  1. In-text reference with the coordinate start=14926
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    Therefore, in practice it is more convenient to set the criterion (7) instead of the Quarterly Research and Practice Journal Solution of the task (16) has the same form as before (see (5)), but in this case (0) =()1()0tte 2 b(t)rt, gion (see, for example,
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    [10]
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    till the moment of time t0 = 2011 (i.e. till 2011 year) the following has been identifi ed: α1 = 87900, α2 = 177700, a0 = 2787000, k(t) ≈ 0,001, b1(t) = 82400, c(t) = 7681, d(t) = 509, e1(t) = 2900, e2(t) = 1271, g(t) = 5700, h(t) = 6000 (these values are practically the same during 5 years).

11
Potrafke N. Globalization and labor market institutions: International empirical evidence // Journal of Comparative Economics. 2013. Vol. 41, No 3. Р. 829–842.
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  1. In-text reference with the coordinate start=2822
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    Thereby, active employment policy, job hunting stimulation, training, professional skills, acquisition of a new profession is needed. When developing the regional employment policy, the labour potential must be used to get the best of quantitative and qualitative changes in the workforce
    Exact
    [6, 11]
    Suffix
    . The basis of the labour potential is labour. The labour potential is defi ned as an interconnected complex of quantitative and qualitative characteristics of the population to perform labour activity and ensure achievements of production objectives under specifi c social and economic conditions, taking into account scientifi c and te

12
Fedotova O., Latun V. Migration Potential of Labor Market and the System of Higher Education // Asian Vector of Development, Procedia – Social and Behavioral Sciences. 2014. Vol. 149, No 5. Р. 327–332.
Total in-text references: 1
  1. In-text reference with the coordinate start=19647
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    Solution of the optimal control task of the unemployed people of working age, who did not fi nd work, enables to explore the processes of formation and use of the labour potential of the region and also brings into focus analysis of peculiarities of these processes development under conditions of a market economy in Russia within the specifi c region
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    [12]
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    . where r(t) is given by (10`). Example 1. On the basis of statistical data presented in the statistical books on Stavropol re

13
Perepelitsa V., Popova E., Semenchin E. Game Theory and Operations Research // Proc. allowance for students. Stavropol, 2004. Р. 182.
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  1. In-text reference with the coordinate start=13130
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    We introduce Hamilton’s function ktatb(t)+ b(t)ctdtet21)()()()()((1 etgthttb(t)2)())()()(12 . Then 111,      a H dt d () 1 ()0ttet . T u 2 t (utrtdtmin))()( 0 . (12) When solving the task (11), (12) we use theorem 3.1 from
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    [13]
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    . We introduce Hamilton’s function for consideration (,,)()()120auruua. If 00, from the condition 0 du dH (13) Consequently, e()(()()()()10tetdtc(t)(t)+ bbta21tt e2()()()).(t)bthtgt2 H reaches a maximum on b2(t) at 1)0(2)(tb.

  2. In-text reference with the coordinate start=13783
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    Therefore (see and solving the obtained equation with the initial condition a(t0)= a0, we will have: (0)()(s)exp ,)-(expds)-(s-00)0(0 0 atabttt t t           (5) theorem 3.1 from
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    [13]
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    ) 00. One can suppose 01. From condition (13) we fi nd 2 u(t)r10  . (14) where As 11    a H (t) dt d, b(0)1()()()()()211tetetdtctb(t) g()().tht(6) By the specifi ed function type a(t) from (5)then t 1 , c=const. (15) (6) one can easily make a forecast on the labour From (9), (10`), (14), (15) it follows that 0() 2 1

14
Muehlemann S., Wolter S. Firm-sponsored training and poaching externalities in regional labor markets // Regional Science and Urban Economics. 2011. Vol. 41, No 6. Р. 556– 570.
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  1. In-text reference with the coordinate start=7318
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    The complex nature of the problem of modeling dependencies targets of socio-economic status of the region to support decision making in the management of key parameters, in particular the employment potential, requires a unifi ed modeling techniques applicable studies of factor indicators and regional studies
    Exact
    [14]
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    . In the fi rst phase of the study stated goal, which is to achieve and to collect and process statistics. To study the working potential of the goal may be to build a set of tasks for the entire set of targets, or for individual indicators, which are analyzed.

15
Semenchin E., Zaytseva, I. Mathematical model of self-organization of the labor market for several industries // Review of Applied and Industrial Mathematics. 2003. No. 3. Р. 740.
Total in-text references: 1
  1. In-text reference with the coordinate start=3994
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    In Sweden, the reduction of the net salary for the particular level of its gross value resulted in a reduction of the labour supply [1, 2]. In the research [4] questions of the labour division are considered, the problems with the costs of knowledge coordination and record are studied. In the research works
    Exact
    [15, 16]
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    a mathematical model of the labour market self-organization for several economic sectors is developed. It enables to trace certain trends of the labour market functioning. The mathematical model also enables to analyze the obtained information on the stable and unstable states of the labour market for n different economic sectors and make a forecast of its state [17].

16
Semenchin E., Zaytseva, I. Mathematical model of self-organization of the labor market for the two industries // Economics and Mathematical Methods. 2004. No 4. Р. 137–139.
Total in-text references: 1
  1. In-text reference with the coordinate start=3994
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    In Sweden, the reduction of the net salary for the particular level of its gross value resulted in a reduction of the labour supply [1, 2]. In the research [4] questions of the labour division are considered, the problems with the costs of knowledge coordination and record are studied. In the research works
    Exact
    [15, 16]
    Suffix
    a mathematical model of the labour market self-organization for several economic sectors is developed. It enables to trace certain trends of the labour market functioning. The mathematical model also enables to analyze the obtained information on the stable and unstable states of the labour market for n different economic sectors and make a forecast of its state [17].

17
Semenchin E., Zaytseva I. Mathematical model of self-organization of the labor market for several industries // Economics and Mathematical Methods. 2007. No 1. Р. 133–136.
Total in-text references: 1
  1. In-text reference with the coordinate start=4386
    Prefix
    The mathematical model also enables to analyze the obtained information on the stable and unstable states of the labour market for n different economic sectors and make a forecast of its state
    Exact
    [17]
    Suffix
    . Meanwhile, the factors, which infl uence the labour potential formation, during the transition process from the labour power to the labour resources [8]. The concept «labour potential» should be considered as an extension of the concepts «labour power» and «labour resources».

18
Trunin S. Labor Economics: the textbook. M. : Economy, 2009. 496 p.
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  1. In-text reference with the coordinate start=5379
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    as the population size of working age, which has necessary Quarterly Research and Practice Journal physical and mental abilities, professional training and qualifi cations to work in the social production. «Labour potential» contains both existing resources and hidden resources. «Labour resources» contain only stock which is unused [21]. In the research
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    [18]
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    it is stated that the number of labour resources is a dynamic value, which is divided into indicators of natural reinforcement and natural leave. At this moment indicators of natural reinforcement include: the number of working age people, the number of people before and after working age, the number of people from the educational institution

  2. In-text reference with the coordinate start=8905
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    To assess the computational effi ciency of the proposed mathematical models now there are a number of methods to optimize the dynamic properties of its own socio-economic systems. The change of the labour potential of the region is infl uenced by different social and economic processes in the region, which include as follows
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    [18]
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    : 1) the number of working age unemployed people, who found a job; 2) the value of population emigration; 3) the value of population immigration; 4) the number of people before and after the working age; 5) the number of working age people who died; 6) the number of retired people; 7) the number of working age people who joined the army or entered educational in

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Tsybatov V. Design and Implementation of a Prototype Intelligent System for evolution. Applications of Artifi cial Entelligence in Engineering // Computational Mechanics Publication. 1991. Р. 258–268.
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  1. In-text reference with the coordinate start=6957
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    model of social and economic facilities in general can be divided into six stages: formulation of the economic problem, the qualitative analysis, the construction of a mathematical model, the mathematical model analysis, preparation of the initial information, carrying out model calculations, analysis of the results and their application
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    [19]
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    . The complex nature of the problem of modeling dependencies targets of socio-economic status of the region to support decision making in the management of key parameters, in particular the employment potential, requires a unifi ed modeling techniques applicable studies of factor indicators and regional studies [14].

20
Zaytseva I., Semenchin E. Optimum distribution of the regional labor Potential in its economic sectors. // International Journal of Applied And Fundamental Research. 2013. No 1. URL: http:// www.science-sd.com/45224352.
Total in-text references: 1
  1. In-text reference with the coordinate start=17368
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    The authors have developed economic and mathematical model of the labour potential optimal distribution of the region into economic sectors. The model is tested on the statistical data for Stavropol region
    Exact
    [20]
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    . The model allows using statistical data on its labour resources and economic indicators, to distribute the labour potential of the region under consideration in the optimal way. Parameters of the model are the total investment amount per employee in the industry and the amount of profi t it brings to the industry.

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Zaytseva I., Popova M. Technique to study the employment potential of the region: economic-mathematical aspect // World Applied Sciences Journal. 2013. No 22 (1). Р. 22–25.
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  1. In-text reference with the coordinate start=5355
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    labour resources» is considered as the population size of working age, which has necessary Quarterly Research and Practice Journal physical and mental abilities, professional training and qualifi cations to work in the social production. «Labour potential» contains both existing resources and hidden resources. «Labour resources» contain only stock which is unused
    Exact
    [21]
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    . In the research [18] it is stated that the number of labour resources is a dynamic value, which is divided into indicators of natural reinforcement and natural leave. At this moment indicators of natural reinforcement include: the number of working age people, the number of people before and after working age, the number of people from the ed

  2. In-text reference with the coordinate start=16814
    Prefix
    However, they must be expanded and different methods should be used: economic, social, mathematical, etc., which enable to estimate the impact of the labour potential on economic development and to justify methods of its control
    Exact
    [21]
    Suffix
    . The complex nature of the problem of modeling of social and economic state dependencies of the region to support decision making in the key parameters control, in particular, the labour potential, requires unifi ed modeling methods which are used to study indicators and factors of the regional researches [5, 6].

22
Zaytseva I., Semenchin E., Gimbitsky V. A mathematical model of optimal allocation of labor potential of the region by industries // Fundamental Research. 2013. No 8. Р. 413– 416.
Total in-text references: 1
  1. In-text reference with the coordinate start=3239
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    The labour potential is defi ned as an interconnected complex of quantitative and qualitative characteristics of the population to perform labour activity and ensure achievements of production objectives under specifi c social and economic conditions, taking into account scientifi c and technical advance
    Exact
    [22]
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    . In the research works of foreign scientists one can fi nd the analysis of a salary increase impact on the scale of the labour supply. The substitution effect causes a labor supply increase, while the income effect leads to its reduction.

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Zaytseva I., Popova M., Vorohobina Y. The development of the concept of «employment potential» as a socio-economic category // Management of economic systems: electronic scientifi c journal. 2013. No 1. URL: http://
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  1. In-text reference with the coordinate start=18007
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    They are calculated according to the statistics provided by the state statistical bodies of the region. Utility function is used as the target function in the presented model, it is defi ned on the great number of sets of human resources in different economic sectors. In the research
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    [23]
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    the task of optimal distribution of the labour potential of the region into economic sectors is solved with mathematical methods. The developed model takes into account the number of industries in the region, the state of its economy, the income that one employee of i industry brings to the region if its sector of the economy will be in the j state (i=1, ..., n; j=1, ..., m).