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The investigation of possible errors in equivalencing models of mass service systems with heterogeneous requests

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Abstract

The purpose of this paper is to calculate the output flow parameters in networks of mass service systems with heterogeneities, while replacing precise models with equivalent ones. An analysis of the approximate methods for calculating mass service systems’ parameters that take the heterogeneity of the requests into account is carried out in this paper. A simple comparison of the output flow parameters in elementary service systems including one device and considering the service heterogeneity of homogeneous service systems is performed in the beginning of the paper. Then, the parameters of the heterogeneous service systems are selected using equivalent models in such a manner that the distinctions in the calculated output flow parameters of the models of the system are minimal. The analysis of the errors in the output flow parameters makes it possible to integrate the elementary service systems into stochastic networks.

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References

  1. Boicov, V.N., Heterogeneity Factors in Stochastic Mass Service Systems, Automatic Control and Computer Sciences, 2009, vol. 43, no. 3, pp. 123–128.

    Article  Google Scholar 

  2. Buzen, J.P., Computational Algorithms for Closed Queuing Networks with Exponential Servers, Communication of the ACM, 1973, vol. 16, no. 9, pp. 527–531.

    Article  MATH  MathSciNet  Google Scholar 

  3. Kobayashi, H. and Reiser, K., Queuing Networks with Multiplied Closed Chains, Theory and Computational Algorithms, IBM Journal Research, 1977, vol. 21, no. 4, pp. 283–294.

    Google Scholar 

  4. Gross, D., Shortle, J.F., Thompson, J.M., and Harris, C.M., Fundamentals of Queuing Theory, Hoboken: John Wiley & Sons, Inc, 2008, ed. 4.

    Google Scholar 

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Authors and Affiliations

  1. Department of Electronics and Telecommunications, Riga Technical University, ul. Lomonosova 1, Riga, LV-1019, Latvia

    V. N. Boicov

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  1. V. N. Boicov
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Correspondence to V. N. Boicov.

Additional information

Original Russian Text © V.N. Boicov, 2009, published in Avtomatika i Vychislitel’naya Tekhnika, 2009, No. 6, pp. 28–35.

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Boicov, V.N. The investigation of possible errors in equivalencing models of mass service systems with heterogeneous requests. Aut. Conrol Comp. Sci. 43, 303–308 (2009). https://doi.org/10.3103/S0146411609060030

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  • DOI: https://doi.org/10.3103/S0146411609060030

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