Abstract
The paper is devoted to a nontraditional approach to the description and study of output flows occurring in the system with cyclic servicing and readjustments. A probabilistic model of output flows is constructed and their properties are analyzed. Conditions for the existence of a stationary mode of performance for systems of this type are represented. Using the simulation modeling, statistical analysis of characteristics of the system and output flows that occur in it is made and the Webster-Allsop problem of delays in cyclic queueing systems is solved.
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Fedotkin, M.A, Service Processes and Control Systems, Mat. Vopr. Kibern., 1996, no. 6, pp. 51–70.
Fedotkin, M.A., A Nonlocal Technique for Assigning Controlled Random Processes, Mat. Vopr. Kibern., 1998, no. 7, pp. 332–344.
Proidakova, E.V. and Fedotkin, M.A., Nelokal’noe opisanie vykhodnykh potokov v sisteme s tsiklicheskim obsluzhivaniem i perenaladkami (Nonlocal Description of Output Flows in the System with Cyclic Servicing and Readjustments), Available from VINITI, 2004, Nizhni Novgorod, no. 1856-B2004.
Proidakova, E.V. and Fedotkin, M.A., Analiz svoistv vykhodnykh potokov v sisteme s tsiklicheskim obsluzhivaniem i perenaladkami (Analysis of Properties of Output Flows in the System with Cyclic Servicing and Readjustments), Available from VINITI, 2005, Nizhni Novgorod, no. 442-B005.
Proidakova, E.V. and Fedotkin, M.A., Determination of Conditions for the Existence of Stationary Distribution of Output Flows in the System with Cyclic Control, Vest. Nizhegorod. Gos. Univ., Mat., 2006, no. 1(4), pp. 92–102.
Proidakova, E.V. and Fedotkin, M.A., Determination of a Sufficient Condition for the Existence of Stationary Distribution of Output Flows in the System with Cyclic Servicing, Vest. Nizhegorod. Gos. Univ., Mat. Modelir. Optim. Upravlen., 2006, no. 3(32), pp. 57–68.
Allsop, R.E., Delay-minimizing Settings for Fixed-Time Traffic Signals at a Single Road Junction, J. Inst. Maths. Appl., 1971, vol. 8, no. 2, pp. 164–185.
Kemeny, J.G. and Snell, L.J., Finite Markov Chains, Princeton: Van Nostrand, 1960. Translated under the title Konechnye tsepi Markova, Moscow: Nauka, 1970.
Kovalenko, I.N, Recovery of System Characteristics by Observations of the Output Flow, Dokl. Akad. Nauk SSSR, 1965, vol. 164, no. 5, pp. 979–981.
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Original Russian Text © E.V. Proidakova, M.A. Fedotkin, 2008, published in Avtomatika i Telemekhanika, 2008, No. 6, pp. 96–106.
This work was fulfilled within the limits of the National Budget Scientific Research “Analysis of Discrete Control Service Systems and Computing Systems for Boolean Functions,” project no. 0120.0602598, at Nizhni Novgorod State University conducted by order of the Federal Agency on Education.
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Proidakova, E.V., Fedotkin, M.A. Control of output flows in the system with cyclic servicing and readjustments. Autom Remote Control 69, 993–1002 (2008). https://doi.org/10.1134/S000511790806009X
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DOI: https://doi.org/10.1134/S000511790806009X