Volume 59 | Number 1 | Year 2018 | Article Id. IJMTT-V59P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P502
This paper present a stationary multiserver queueing system with first in first out discipline with poisson arrival and general service system we make the queue lengths predictions and conditional expectation predictors for the M/G/C queue. Specially the optimal mean square predictors for several variables have been derived for this system.
[1] S,Alouf, P. Main, and D. Towsley. Inferring network characteristics via moment based estimators. In INFQCOM 2001. Twentieth Annual Joint Conference of the IEEE computer and Communications Societies. Proceedings, IEEE, volume 2, IEEE: 1045-1054. 2001 ;
[2] M.C,Aus'in, M.P. wiper, and R.E. Lillo. Bayesian estimation for the M/G/1 queue using a phase type approximation. Journal of Statistical Planning and Inference, 118(1-2):83-101, 2004,
[3] M.C Ausin, R. E. Lillo, and M.P. Wiper. Bayesian control of the number of servers in a G1/M/c queueing system. Journal of Statistical Planning and inference, 137(10):3043-3057, 2007.
[4] M.C.Ausin, M.P. Wiper, and R.E. Lillo. Bayesian prediction of the transient behavior and busy period in short and long tailed GI/G/1 queueing systems. Computational Statistics & Data Analysis, 52(3): 1615-1635, 2008.
[5] S.K. Acharya, S.v. Rodriguez-S' anchez, and C.E. Villarreai-Rodriguez. Maximum likelihood estimates in an M/M/c queue with heterogeneous servers. International Journal of Mathematics in Operational Research, 5(4):557-549,2003.
[6] S.P. Anusha, A. sharma, L. Vanajakshi, S.C. Subramanian, and L.R. Rilett, Modelbased approach for queue and delay estimation at signalized intersections with erroneous automated data. Journal of Transportation Engineering, 142(5):04016013,2016.
[7] N.Antunes, G. Jacinto, A. Pacheco, and C. Wicheihaus. Estimation of the traffic intensity in a piecewise stationary Mt/Gtt/1 queue with probing. ACM SIGMETRICS Performance Evaluation Review, 44(2):3-5, 2016.
Sadhna Golash, G.C. Sharma, "Optimal Prediction of Queue Lengths in the Stationary Multiserver Queueing System," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 1, pp. 4-7, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P502