Abstract
In earlier studies, the authors developed a method for calculating the parameters of queuing systems while taking into account the heterogeneity of the requests. In a number of works, the authors investigated the possible errors and mistakes that arise when using this calculation method in closed queuing networks with heterogeneous requests. In the present paper, a method for calculating the parameters of open-loop stochastic heterogeneous networks is developed. In addition, algorithms for the calculation of the normalization constants and the parameters of an open-loop stochastic heterogeneous network of arbitrary configuration are designed.
Similar content being viewed by others
References
Jachcon, J.R., Jobshop-like Queueing Systems, Manage. Sci., 1963, vol. 10, no 1, pp. 131–142.
Gordon, W.J., and Newell, G.P., Closed Queueing System with Exponential Servers, Oper. Res., 1967, vol. 15, no. 2, pp. 254–265.
Boicov, V.N., Heterogeneity Factors in Stochastic Mass Service Systems, Autom. Control Comput. Sci., 2009, vol. 43, no. 3, pp. 123–128.
Boicov, V.N., The Investigation of Possible Errors in Equivalencing Models of Mass Service Systems with Heterogeneous Requests, Autom. Control Comput. Sci., vol. 43, no.6, pp. 28–35.
Buzen, Computational Algorithms for Closed Queueing Networks with Exponential Servers, Commun. ACM, 1973, vol. 16, no.9, pp. 527–531.
Kobayashi, H. and Reiser, K., Queueing Networks with Multiplied Closed Chains. Theory and Computational Algorithms, IBM J. Res., 1977, vol. 21. no. 4, pp. 283–294.
Donald, G., Shortle, J.F., Thompson, J.M., and Harris, C.M., Fundamentals of Queuing Theory, Hoboken: Wiley, 2008, 4th ed..
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V. Boitsov, M. Jivitere, 2010, published in Avtomatika i Vychislitel’naya Tekhnika, 2010, No. 3, pp. 52–58.
About this article
Cite this article
Boitsov, V., Jivitere, M. The study of open-loop stochastic queuing networks with heterogeneous requests. Aut. Conrol Comp. Sci. 44, 154–159 (2010). https://doi.org/10.3103/S0146411610030065
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0146411610030065