employee
Moskva, Moscow, Russian Federation
In resent years has been increasing interest for application of probabilistic methods, in particular queueing theory for estimation of activities of managing companies of residential buildings. Maintenance of residential buildings is a set of measures that ensure the highest reliability of all elements and systems of a building. The main element of the technical operation of residential buildings is a system of scheduled prophylactic inspections and repairs. However even with its rational organization, there is always a positive probability of failure of building elements, which depends not only on the aging factors of the structure. The goal of the managing company is, on the one hand, to prevent the formation of a too long queue of emergency calls, and on the other, to complete all planned prophylactic maintenance work. As a mathematical model we consider a single-server queue with vacations and close-down periods. The service team can start a scheduled preventive repair only when all request for sudden mailfunctions are satisfied. This period we call vacation. There is a close-down period before vacation. This time period is required for preparation and organization of the prophylactic and inspection work. Based on the methods of the queuing theory, the system’s characteristics that determine the quality of its work, as well as the boundaries of the change of parameters at which the system copes with the work from the standpoint of a particular criterion are defined.
queueing system, scheduled prophylactic inspection, residential building, vacation, close-down period
1. Tehnicheskaya ekspluataciya zdaniy i inzhenernyh sistem: uchebnik / pod red. E. A. Korol'. - M.: MISI-MGSU, 2020. 116 s.
2. Notenko S.N., Rimshin B.II., Roytman A.G. i dr. Tehnicheskaya ekspluata¬ciya zdaniy Uchebnik pod red. V.I. Rimmina i A.M. Strazhnikova. M: Vys¬shaya shkola. 2008. 639 s., §7.7. s. 272-287.
3. Kuzni P.Ya., Mischenko V.P., Mischenko S.A. Upravlenie tehnicheskoy eks¬pluataciey zdaniy i sooruzheniy, Moskva. INFRA-M. 2017. uchebnik. Gl. 3. §3.2.
4. Roschina S.M., Lukin M.V., Lisyatnikov M.S., Tnmahova P.S. Tehnicheskaya ekspluataciya zdaniy i sooruzheniy. M: 2018. 232 s.. Gl. 1.
5. Dement'eva M.E., Kurohtin A.A. Osobennosti ekspluatacii kanalizacionno-nasosnyh stanciy teploelektrostanciy v usloviyah Kraynego Severa. Vestnik MGSU.2019. № 3. Tom 14. S.356-366.
6. Korol' O.A., Bakrunova S.Yu., Mazhirin M.Yu. Tehnologii prolongacii mezhremontnyh srokov otdel'nyh inzhenernyh sistem posle kapital'nogo remonta zhilischnogo fonda. Stroitel'stvo i arhitektura / Construction & Architecture. 2020. № 3(28). Tom 8. S. 79-82.
7. Stolbov K.V. Statisticheskie metody kontrolya kachestva stroitel'nyh rabot. - M.: Stroyiz- dat. 1982. 87 s.
8. Sparkie B.P. Optimal'nye raschety i kontrol'nye znacheniya sluchaynyh parametrov kak sredstvo optimizacii nadezhnosti. Problemy nadezhno¬sti v stroitel'nom proektirovanii Sverdlovsk. 1972. s.202-206.
9. Dement’eva M. Factors of quality reduction of exploitation of pitched roofs width a cold attic in conditions of dense urban development. MATES Web Conferences, 106. 02019. 2017.
10. Oliver S Ibe M|G|1 Vacation Queueing Systems with sever Timeout. Ameri¬can Journal of Operations Research, 5 , 77-88 (2015)
11. Zhisheng Niu , Tao Shu, Yoshitaka Takahashi A vacation queue with setup and close-down times and batch Markovian arrival processes, Performance Evaluation 54 (2003) 225-248
12. Andreas Frey, Yoshitaka Takashi An M^X/GI/N queue with close-down and vacation times, Journal of Applied Mathematics and Stochastic Analysis, 12:1 (1999), 63-83.
13. Afanasyev G A and Shreiber K A Scheduling prophylactic maintenance of engineering systems of residential buildinas, 2019 J. Phys.: Conf. Ser. 1425 012045
14. Afanas'ev G.A. Ispol'zovanie teorii massovogo obsluzhivaniya dlya organizacii ekspluatacii inzhenernyh sistem zhilyh zdaniy. Vestnik Tverskogo gosudarstvennogo universiteta. Seriya: Prikladnaya matematika. 2019. № 4. S. 52-64.
15. Selvaraju N., Goswami C. Impatient customers in an M|M|1 queue with sin¬gle ami multiple working vacations. Computers and Industrial Engineering, №65(2), 2013. pp.207-215.
16. Servi L.D., Finn S.G. M|M|1 queues with working vacations M|M|1|WV. Performance Evalution, №50(1).2002, pp.41-52.
17. Saati T.L. Elementy teorii massovogo obsluzhivaniya i ee prilozheniya. Moskva, iz-vo Sovetskoe radio 1971.
18. Borovkov A.A. Veroyatnostnye processy v teorii massovogo obsluzhivaniya. Nauka, M., 1972.
19. Feller V. Vvedenie v teoriyu veroyatnostey i ee primeneniya, t.2. Moskva. (1967).