Abstract

AHMED, Mahmoud; ABD-EL-WAHAB, Rasha  and  BARAKAT, Ola. Discrete time multi-server loss systems and stochastic approximation with delayed groups of customers. J. appl. res. technol [online]. 2021, vol.19, n.6, pp.575-583.  Epub Mar 22, 2022. ISSN 2448-6736.  https://doi.org/10.22201/icat.24486736e.2021.19.6.1041.

The stochastic approximation procedure with delayed groups of delayed customers is investigated. The Robbins-Monro stochastic approximation procedure is adjusted to be usable in the presence of delayed groups of delayed customers. Two loss systems are introduced to get an accurate description of the proposed procedure. Each customer comes after fixed time intervals with the stage of the following customer is accurate according to the outcome of the preceding one, where the serving time of a customer is assumed to be a discrete random variable. Some applications of the procedure are given where the analysis of their results is obtained. The most important result is that efficiencies of the procedure are increased by increasing the service-time distributions as well as service times of customers. This new situation can be applied to increase the number of served customers where the number of served groups will also be increased. The results obtained seem to be acceptable. In general, our proposal can be utilized for other stochastic approximation procedures to increase the production in many fields such as medicine, computer sciences, industry, and applied sciences.

Keywords : Analysis of results; customers; groups; efficiency; loss systems; modified procedure; service time; stochastic approximation.

        · text in English     · English ( pdf )