Mathematical Modeling
Vol. 4 (2020), Issue 1, pg(s) 31-34

MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

Study the work of specialized car service as queue theory

  • 1 Faculty of Transport –University of Ruse ―Angel Kanchev‖, Bulgaria
  • 2 Faculty of Natural sciences and education –University of Ruse ―Angel Kanchev‖, Bulgaria

Abstract

Study the refusal of requests received in a specialized automotive service workshop in the city of Rousse was investigated. The present work analyses the average monthly requests from customers of the workshop and the number of the actual repairs is determined. The work in the service have been seen as a mass service system with a non-stationary mid-month incoming stream with queries. Under nonstationary conditions, the basic values of the system parameters were calculated and Mat Lab application was created. The proposed approach can serve as a methodology for analysing and optimizing the activity of other universal automotive service

Keywords

References

  1. A. Mitrofanova, Continuous times Markov chains. Poisson process. Birth and death process, (New York University, 2007)
  2. H. Taha, Operations research, an introduction, New York (J. Wiley and Sons, 1993)
  3. Kare Rumar, Ulf Berggrund, Per Jemberg, Uno Ytterbom, Driver Reaction to a Technical Safety Measure—Studded Tires, Human Factors: The Journal of the Human Factors and Ergonomics Society, Volume: 18 issue: 5, page(s): 443-454 Issue published: October 1, 1976
  4. L. Shampine, M. Reichelt, The MATLAB ODE Suite, SIAM Journal on Scientific Computing, 18, 1-22 (1997)
  5. Lena Larsson, Lennart Cider, Emil Pettersson, Co-optimizing multi vehicle combinations Fuel consumption & Traction in slippery conditions, Road-transport-technology Proceedings HVTT 14 (http://road-transport-technology.org/Proceedings/HVTT%2014/Larsson%20-%20Co-optimizing%20multi%20vehicle%20combinations%20fuel%20cons umption%20%26%20traction%20in%20slippery%20conditions.pdf )
  6. M. Zukerman, Introduction to queueing theory and stochastic teletraffic models, EE Department, City University of Hong Kong (2016)
  7. N. Gautam, Analysis of queues: Methods and applications (CRC Press, 2012)
  8. S. Ross, Introduction to probability models, (Elsevier, 2007)
  9. J. Sztrik, Basic Queueing Theory, GlobeEdit, OmniScriptum GmbH, KG, Saarbrucken, Germany (2016)
  10. V. Pavlov, I Georgiev, Optimization methods with MATLAB, (Avangard print, 2016)
  11. Wallace R.B., D.N.Prabhakar Murthy, Case studies in reliability and maintenance, Wiley-interscience, 2003
  12. ЗАКОН ЗА ДВИЖЕНИЕТО ПО ПЪТИЩАТА, в сила от 01.09.1999 г., Отразена деноминацията от 05.07.1999 г. (https://lex.bg/laws/ldoc/2134649345), (последно посетен 14.11.2019г.)
  13. Представяне на фирма Арго ООД в бизнес каталог Авточастите БГ (http://avtochastite.bg/listing- %D0%B0%D1%80%D0%B3%D0%BE- %D0%BE%D0%BE%D0%B4-2023.html) (последно посетен 14.11.2019г.)
  14. Р Митрев, Анализ и проектиране на системи за масово обслужване. Приложение в логистиката, строителството и подемно-транспортните системи, (Пропелер, София, 2017г.)
  15. Т Саати , Элементы теории массового обслуживания и ее приложения (Книжный дом ―Либроком―, Москва, 2010)

Article full text

Download PDF