Journal: Volume 21, No. 1, 2016
Pages: 72 – 77
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Mathematical model for determination of average actual time for execution of one stage of construction works in the conditions of perturbations

Viktoriia Melnik, І. Chastokolenko, A. Marchenko

Abstract

Formulation of the problem. Construction is one of the main sectors of the economy that requires high organization of production processes. Any process consists of interrelated transactions and requires proper planning organization. Workflows are integrated with design, technical, financial and other processes, so their clear interaction, that will ensure their continuity and effectiveness, is important. As the process of construction is dynamic and largely depends on the environment, it is urgent to foresight and consider its impact on the time of execution of individual stages of construction works. The main material. The article offers mathematical model for determination of average actual time for execution of one stage of construction works in the conditions of perturbations. The impact of parameters of two types: permanent factors set provided in manufacturing stage and the set of likely perturbations is taken into account. Modeling has been carried out both on the basis of preparatory period, on which direct execution of the field of operations is not carried out, and without it. During the modeling the method of additional event with Poisson character of distribution has been used. A value that characterizes the average actual time for execution of one stage of operations not related to others in the conditions of perturbations is obtained. Conclusions. Mathematical model of execution of the field of operations on a single production cycle, taking into account the set of likely perturbations, which makes it possible to count the value of the average actual time for execution of one stage of operations, not related to other stages, and describes its dependence on basic settings is built

Keywords

development processes, average rate of increase, volume of work, additional event, implementation time, recovery interval, exposure intensity

References

  1. Brodetsky, G.L. (1978). Efficiency of memorizing intermediate results in systems with failures destroying information. Technical Cybernetics, (6).
  2. Khibukhin, V.P., Velichkin, V.Z., & Vtyurin, V.I. (1990). Mathematical methods of planning and management in construction. Leningrad: Stroyizdat.
  3. Klimov, G.P. (1966). Stochastic service systems. Moscow.
  4. Krivodubsky, O.A., & Shevchuk, O.A. (2012). Mathematical model for planning construction and installation works. Collection of Scientific Papers of Kharkiv Air Force University, (4)33, 144–148.
  5. Kuznetsov, S.M., Sirotkin, N.A., Kuznetsova, K.S., & Chulkova, I.L. (2009). Optimization of organizational and technological solutions in construction of buildings and structures. Industrial and Civil Engineering, (9), 57–60.
  6. Nedavniy, O.I., Kuznetsov, S.M., & Kandaurova, N.M. (2013). Justification of construction work production time. Izvestiya VUZov. Construction, (9), 107–114.
  7. Semchenkov, A.S. (1995). Problems of civil construction. Concrete and Reinforced Concrete, (1), 2–6.
  8. Sergeev, V.I. (1990). Methodological foundations and models of macrologistics systems formation. St. Petersburg: SPbUEiF.
  9. Sirotkin, N.A., Kuznetsov, S.M., & Yachmenkov, S.N. (2007). Simulation model for justifying the sequence of construction of facilities. Track and Track Facilities, (10), 30–31.
  10. Suvorova, A.P. (2003). Models of interaction in integrated management systems of the construction complex. Construction Economics, (9), 49–59.

Suggested citation

Melnik, V., Chastokolenko, І. , & Marchenko, A. (2016). Mathematical model for determination of average actual time for execution of one stage of construction works in the conditions of perturbations. Bulletin of Cherkasy State Technological University, 21(1), 72-77.