Control of Traffic Intensity in Hyperexponential and Mixed Erlang Queueing Systems with a Method Based on SPRT

Abstract EN

The control of traffic intensity (ρ) is one of the important problems in the study of queueing systems.

Rao et al.

(1984) developed a method to detect changes in the traffic intensity in queueing systems of the M/G/1 and GI/M/c types based on the Sequential Probability Ratio Test (SPRT).

In this paper, SPRT is theoretically investigated for two different phase-type queueing systems which consist of hyperexponential and mixed Erlang.

Also, for testing H0:ρ=ρ0 against H1:ρ=ρ1, Operating Characteristic (OC) and Average Sample Number (ASN) functions are obtained with numerical methods using multipoint derivative equations according to different situations of α and β type errors.

Afterward, numerical illustrations for each model are provided with Matlab programming.