ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Fedotkin M. A., Projdakova E. V. Nonlinear model of cyclic service process and output flows. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 3, pp. 48-60. DOI: 10.18500/0869-6632-2005-13-3-48-60

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
519.21
DOI: 
10.18500/0869-6632-2005-13-3-48-60

Nonlinear model of cyclic service process and output flows

Autors: 
Fedotkin Mihail Andreevich, Lobachevsky State University of Nizhny Novgorod
Projdakova Ekaterina Vadimovna, Lobachevsky State University of Nizhny Novgorod
Abstract: 

Article is devoted to the nonconventional approach to the description and properties studying of the output flows arising in cyclic systems of mass service. This approach with use of imitation method allows to solve Webster – Allsop problem about delays in cyclic systems of mass service.

Key words: 
-
Reference: 
  1. Fedotkin MA. Service processes and control systems. Mathematical Problems of Cybernetics. 1996;(6):51–70 (in Russian).
  2. Fedotkin MA. Non-local way of defining controlled random processes. Mathematical Problems of Cybernetics. 1998;(7):332–344 (in Russian).
  3. Fedotkin MA, Proydakova EV. Exploring the output process in nonlinear car service at an intersection using a simulation model. In: Materials of the International Conference «Applied Statistics in Socio-Economic Problems», February 14-15, 2003. Vol. 1. Nizhny Novgorod: Publishing House of Nizhny Novgorod State University; 2003. P. 97–102 (in Russian).
  4. Fedotkin MA, Proydakova EV. Non-Local Description of Output Streams in a System with Cyclic Maintenance and Changeovers. UNN, Nizhny Novgorod; 2004 27 p. Dep. at VINITI. No. 1856 - В2004 (in Russian).
  5. Fedotkin MA, Proydakova EV. Analysis of the Properties of Output Streams in a System with Cyclic Maintenance and Changeovers. UNN, Nizhny Novgorod; 2005. 32 p. Dep. at VINITI. No. 442 - В2005 (in Russian).
  6. Webster FV. Traffic Signal Settings. Road Research Technical Paper No. 39. London: H.M.S.O.; 1958. 44 p.
  7. Allsop RE. Delay-minimizing settings for fixed-time traffic signals at a single road junction. IMA Journal of Applied Mathematics. 1971;8(2):164–185. DOI: 10.1093/imamat/8.2.164.
  8. Kemeny JJ, Snell JL. Finite Markov Chains. D. Van Nostrand Company; 1960. 210 p.
Received: 
03.07.2005
Accepted: 
03.07.2005
Published: 
31.10.2005
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