MANAGEMENT OF THE WORKPLACES BY THE FACILITIES OF OPERATIONS RESEARCH

Nataliia Geseleva

gesnata@ukr.net
State University of Trade and Economics (Ukraine)
http://orcid.org/0000-0001-9188-9738

Ganna Proniuk


Kharkiv National University of Radio Electronics (Ukraine)
http://orcid.org/0000-0001-7648-0360

Olexander Romanyuk


Vinnytsia National Technical University (Ukraine)
http://orcid.org/0000-0002-2245-3364

Olga Akimova


Vinnitsa State Pedagogical University (Ukraine)
http://orcid.org/0000-0001-6988-6258

Tetiana Troianovska-Korobeynikova


Vinnytsia National Technical University (Ukraine)
http://orcid.org/0000-0003-2487-8742

Liudmyla Savytska


Vinnytsia National Technical University (Ukraine)
http://orcid.org/0000-0003-1130-2621

Saule Rakhmetullina


D. Serikbayev East Kazakhstan Technical University (Kazakhstan)
http://orcid.org/0000-0002-3142-0249

Nurbapa Mekebayev


Kazakh National Women's Pedagogical University (Kazakhstan)
http://orcid.org/0000-0002-9117-4369

Abstract

The optimal location of workplaces plays an important role in the structure of occupational safety. The design of the workspace should ensure the optimal distribution of functions between person and machine in order to create safe working conditions, reduce the severity of work and the level of production injuries. Most often, workplace planning is carried out manually, by simple calculation, and then the rationality of workplace planning is evaluated, based on statistics of industrial accidents and occupational diseases, as well as indicators of labor productivity, for example, the ratio of compliance with norms. To solve the problem of optimal placement in the work mathematical models are built that can take into account various regulatory restrictions and are simple for further software implementation. It is proposed to choose the theory of φ-functions as a basis, which can be characterized as measures of proximity of objects. Thus, the set task of optimal placement of workplaces is reduced to the task of mathematical programming. The objective function determines the criterion of optimality – the minimization of the area or perimeter that will be occupied by the objects. This formulation of the problem is relevant because the use of the smallest production area, taking into account safety requirements, is an economic condition for effective production management. The constraint on the relative location of workplaces is set using φ-functions, which defines the decision domain. That, when formalizing restrictions, you can take into account all regulatory safety distances between workplaces, equipment, walls, etc. Thus, the work explores an approach that will allow automatic planning of the placement of a large number of technological objects, workplaces in accordance with occupational safety standards. Use of the software application, which can be implemented on the basis of the φ-functions apparatus, will significantly reduce the time of workplaces planning and increase its efficiency.


Keywords:

occupational safety, working place, φ-functions, occupational ergonomics, operations research

Bennell J. A., Oliveira J. F.: The geometry of nesting problems: A tutorial. Europ. J. Operational Research 184, 2008, 397–415.
DOI: https://doi.org/10.1016/j.ejor.2006.11.038   Google Scholar

Chernov N. et al.: Mathematical model and efficient algorithms for object packing problem. Comput. Geometry: Theory & Appl. 43, 2010, 535–553.
DOI: https://doi.org/10.1016/j.comgeo.2009.12.003   Google Scholar

Chub I. A., Novozhilova M. V.: Solution of the extreme problem of resource allocation as a problem of placing rectangles with variable metric characteristics. Informatics and System Science. ISS–2011: science–pract. Conf. Poltava, 2011, 331–334.
  Google Scholar

Emets O. A., Roskladka A. A.: On estimates of minima of criterion functions in optimization on combinations. Ukrainian Mathematical Journal 51(8), 1999, 1262–1265.
DOI: https://doi.org/10.1007/BF02592514   Google Scholar

Karwowski W, Marras W. S.: Occupational Ergonomics: Principles of Work Design. CRC Press, 2003.
DOI: https://doi.org/10.1201/9780203010457   Google Scholar

Romanova I. E. et al.: Mathematical model and method for solving the problem of optimization of packing of arbitrary two-dimensional objects in rectangular areas. Reports of the National Academy of Sciences of Ukraine 1, 2009, 48–53.
  Google Scholar

Stack T. et al.: Occupational Ergonomics: A Practical Approach, Wiley 2016.
DOI: https://doi.org/10.1002/9781118814239   Google Scholar

Stoyan Y. et al.: Packing of convex polytopes into a parallelepiped. Optimization 54, 2005, 215–235.
DOI: https://doi.org/10.1080/02331930500050681   Google Scholar

Stoyan Y. et al.: φ-function for complex 2D-objects, 4OR: Quarterly J. Belgian, French and Italian Operations Research Soc. 2, 2004, 69–84.
  Google Scholar

Stoyan Yu. Et al.: Phi-function for primary 2D-objects, Studia Informatica Universalis 2, 2001, 1–32.
  Google Scholar

Verkhoturov M.A.: The problem of irregular cutting of flat geometric objects: modeling and calculation of rational cutting. Information Technologies 5, 2000, 37–42.
  Google Scholar

Wójcik W., Pavlov S., Kalimoldayev M.: Information Technology in Medical Diagnostics II. London: Taylor & Francis Group, CRC Press, Balkema book, 2019.
DOI: https://doi.org/10.1201/9780429057618   Google Scholar

Yemets O.A., Roskladka A.A.: Algorithmic solution of two parametric optimization problems on a set of complete combinations. Cybernetics and Systems Analysis 35(6), 1999, 981–986.
DOI: https://doi.org/10.1007/BF02742292   Google Scholar

Vyatkin S. et al.: A GPU-based multi-volume rendering for medicine. Proc. SPIE 11045, 2019, 1104513.
DOI: https://doi.org/10.1117/12.2522408   Google Scholar

Vyatkin S. et al.: A function-based approach to real-time visualization using graphics processing units. Proc. SPIE 11581, 2020, 115810E.
  Google Scholar

Vyatkin S. et al.: Offsetting and blending with perturbation functions. Proc. SPIE 10808, 2018, 108082Y.
DOI: https://doi.org/10.1117/12.2280983   Google Scholar

Vyatkin S. et al.: Offsetting and blending with perturbation functions. Proc. SPIE 11045, 2019, 110450W.
  Google Scholar

Vyatkin S. et al.: Transformation of polygonal description of objects into functional specification based on three-dimensional patches of free forms. Proc. SPIE 11176, 2019, 1117622.
DOI: https://doi.org/10.1117/12.2537043   Google Scholar

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Published
2022-09-30

Cited by

Geseleva, N., Proniuk, G., Romanyuk, O., Akimova, O., Troianovska-Korobeynikova, T., Savytska, L., … Mekebayev, N. (2022). MANAGEMENT OF THE WORKPLACES BY THE FACILITIES OF OPERATIONS RESEARCH . Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 12(3), 69–73. https://doi.org/10.35784/iapgos.3031

Authors

Nataliia Geseleva 
gesnata@ukr.net
State University of Trade and Economics Ukraine
http://orcid.org/0000-0001-9188-9738

Authors

Ganna Proniuk 

Kharkiv National University of Radio Electronics Ukraine
http://orcid.org/0000-0001-7648-0360

Authors

Olexander Romanyuk 

Vinnytsia National Technical University Ukraine
http://orcid.org/0000-0002-2245-3364

Authors

Olga Akimova 

Vinnitsa State Pedagogical University Ukraine
http://orcid.org/0000-0001-6988-6258

Authors

Tetiana Troianovska-Korobeynikova 

Vinnytsia National Technical University Ukraine
http://orcid.org/0000-0003-2487-8742

Authors

Liudmyla Savytska 

Vinnytsia National Technical University Ukraine
http://orcid.org/0000-0003-1130-2621

Authors

Saule Rakhmetullina 

D. Serikbayev East Kazakhstan Technical University Kazakhstan
http://orcid.org/0000-0002-3142-0249

Authors

Nurbapa Mekebayev 

Kazakh National Women's Pedagogical University Kazakhstan
http://orcid.org/0000-0002-9117-4369

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