Applicability of modified queueing model with encouraged arrivals for economic recession

Abstract

Businesses often offer lucrative deals and discounts so that customers’ encouragement to engage with those firms are developed. This kind of arrivals are termed as encouraged arrivals. As a pandemic is overwhelming the world, it could be suggested that, for upbringing of declining businesses, this concept, now, deserves to be taken into account more than ever in the past. In order to describe the encouraged arrival process mathematically, a Markovian queuing model is used and the parameter that represents the arrival rate is modified with percentage increase in the arrival rate of customers. In this paper, we investigate the behavior of measures of performances with and without encouraged arrivals for multi-server finite capacity queuing system. In the analysis it was possible to identify that a significant number of customers compared to the normal arrival process is engaged with the system when it is affiliated with the encouraged arrival process. As well as it shows that customers engage more and more with the system irrespective of the high rates of arrivals and low rates of services. In addition to that under the economic analysis, it was uncovered that the profit increment due to encouraged arrivals is very higher than that due to normal arrivals.