Volume 56 | Number 6 | Year 2018 | Article Id. IJMTT-V56P557 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P557
— Queuing theory continues to be one of the most extensive theories of stochastic models. Advanced theoretical models are being developed through innovative analytical study with vast applications. The present paper deals with the modelling of biserial bulk queue network with fixed batch size and connected with a common server. Performance measure of the model has been analysed in stochastic environment. Numerical illustration is provided to understand the model in a better way.
[1] Erlang, A.K., “The theory of probability and telephone congestion”, Nyt Tidsskrift for Mathematics Ser b. Vol. 20, 33-39, 1909.
[2] Pandey, P.C., “Multi input Sources with Simultaneous Arrival”, Industrial Engineering & Management Today, Vol. 2, 17-21, 1976.
[3] Jackson R.R.P, “Queueing system with phase type service”, O.R., Quarterly, Vol.5, 109-120 , 1954
[4] O`Brien, G.G., “The solution of some queuing problems”, J. Soc. Ind. Appl. Math, Vol. 2, 33-142,1954
[5] Suzuki, T., “Batch arrival queuing problem”, J. Op. Res. Soc., Japan, Vol. 4, 137-184, 1963.
[6] Maggu P.L., “On certain type of queues, Statistica Neerlandica”, Vol. 24, 89-97, 1970(a).
[7] Maggu P.L., “Phase type service queues with two server in biseries”, J.Op. Res.Sco. Japan ,Vol. 13(1) , 1970(b).
[8] Maggu P.L. and Lal M.M., “Transient Analysis on Certain type of queues in service with service parameters constraints”, Ricerca Operativa N. Vol. 19, 57-61,1981
[9] Hafiz Noor Mohammad, Tahir Hussain and Mohammad Ikram, “Two Biseries Queues With Batch Arrival at Each Stage”, Pure and Applied Mathematika Sciences, Vol. 17, 1-2, 1983.
[10] Singh T.P., Kumar Vinod & Kumar Rajender,“On transient behaviour of a queuing network with parallel biserial queues”, JMASS Vol.1(2),2005.
[11] Singh T.P., & Gupta Deepak, “Analysis of a network queue model comprised of biserial & parallel channel linked with a common server”, Ultra scientist of physical sciences, 407-417, 2007
[12] Singh T.P., Mittal Meenu and Gupta Deepak, “Threshold effect on a fuzzy queue model with batch arrival”, Aryabhatta Journal of Mathematics & Informatics, Vol. 7(1), 109-118, 2015.
[13] Singh T.P., Mittal Meenu and Gupta Deepak “Priority queue model along intermediate queue under fuzzy environment with application”, International Journal in Physical & Applied Sciences, Vol. 3(4), 2016.
[14] Singh T.P., Kusum & Gupta Deepak, “Feedback queue model assumed service rate propotional to queue numbers”, Aryabhatta Journal of Mathematics & Informatics, Vol. 2(1), 103-110, 2010.
Meenu Mittal, Renu Gupta, "Modelling of Biserial Bulk Queue Network Linked With Common Server," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 6, pp. 430-436, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P557