Analysis of the Economic Cost of Coxian-2 Service with Encouraged Arrival and Balking

Abstract

The queuing model is widely used in the production, inventory, and service industries. In order to improve the performance of a queuing model, it is crucial to characterize the practical queuing characteristics. The purpose of this work is to examine an analysis of the economic cost of Coxian-2 service with encouraged arrival and balking in a queuing system. In particular, we discussed Coxian-2 service-encouraged arrival queuing system and an accelerated distribution. According to our presumption, units (customers) enter the system one at a time in an encouraged arrival procedure, and the server offers Coxian-2 service one at a time according to the first in first out (FIFO) rule. As probability-generating functions, the typical customer count, and the typical customer wait time in the system and queue, respectively. We also derive steady-state probabilities and performance measures for the proposed model. Finally, the economic analysis of the model is performed by introducing cost model with an empirical example is given to show the effectiveness of the proposed model. The created formula also fulfills Little’s formula.