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Virtual Waiting Time in the Single-server Queuing System with Unreliable Server

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Abstract

The unreliable queuing system was considered both in the stationary and nonstationary modes. A Poisson flow of customers arrives to the system. The flow of stable failures makes up the renewal process, and the inter-failure intervals are distributed hyperexponentially. The times of customer servicing and renewal of the servicing system are distributed arbitrarily. The virtual waiting time was established.

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REFERENCES

  1. Khocholava, V.V. and Mikadze, I.S., On One Model of Queuing System, Georg. Eng. News, 2002, no. 4, pp. 47-52.

    Google Scholar 

  2. Gnedenko, B.V. and Kovalenko, I.N., Vvedenie v teoriyu massovogo obsluzhivaniya (Introduction to the Queuing Theory), Moscow: Nauka, 1987.

    Google Scholar 

  3. Klimov, G.P., Stokhasticheskie sistemy obsluzhivaniya (Stochasti Queuing Systems), Moscow: Nauka, 1966.

    Google Scholar 

  4. Barzilovich, E.Yu., Belyaev, Yu.K., Kashtanov, I.N., et al., Voprosy matematicheskoi teorii nadezhnosti (Problems of the Mathematical Reliability Theory), Moscow: Radio i Svyaz', 1983.

    Google Scholar 

  5. Korolyuk, V.S. and Turbin, A.F., Polumarkovskie protsessy i ikh prilozheniya (Semi-Markov Processes and Their Applications), Kiev: Naukova Dumka, 1976.

    Google Scholar 

  6. Riordan, J., Stochastic Service Systems, New York: Wiley, 1962. Translated under the title Veroyatnostnye sistemy obsluzhivaniya, Moscow: Svyaz', 1966.

    Google Scholar 

  7. Saaty, T.L., Elements of Queueing Theory, with Applications, New York: McGraw-Hill, 1961. Translated under the title Elementy teorii massovogo obsluzhivaniya i ee primeneniya, Moscow: Sovetskoe Radio, 1965.

    Google Scholar 

  8. Cherkesov, G.N., Nadezhnost' tekhnicheskikh sistem s vremennoi izbytochnost'yu (Reliability of Engineering Systems with Time redundancy), Moscow: Sovetskoe Radio, 1974.

    Google Scholar 

  9. Mikadze, I.S. and Kakubava, R.V., Group Servicing in Systems with Multiple Operable States, Soobshch. AN GSSR, 1995, vol. 152, no. 2, pp. 312-315.

    Google Scholar 

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia, USA

    I. S. Mikadze, V. V. Khocholava & R. A. Khurodze

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  1. I. S. Mikadze
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  2. V. V. Khocholava
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  3. R. A. Khurodze
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Mikadze, I.S., Khocholava, V.V. & Khurodze, R.A. Virtual Waiting Time in the Single-server Queuing System with Unreliable Server. Automation and Remote Control 65, 1968–1976 (2004). https://doi.org/10.1023/B:AURC.0000049881.16162.d6

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  • DOI: https://doi.org/10.1023/B:AURC.0000049881.16162.d6

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