Analyzing an Exponential Queuing Model Based on Stepwise Time Rates

Abstract

Encountering the uncertainties in our new world is a major problem which many managers are engaged with that. The stochastic nature of demand arrivals and service processes is an important problem which is studied by many researchers. This article is dedicated to analyzing some queuing systems with stepwise demand and service rates functions. Some analytical concepts are presented by using numerical examples. Also, the basic relations of queuing theory are used and finally the findings are applied in a case study. The article will help the managers to obtain the optimal servicing parameters for a stochastic system with stepwise demand and service rate functions to achieve the minimum total cost.