Analysis of an Encouraged arrival finite source queue providing unlimited service

Abstract

An Encouraged arrival finite source queue with unlimited service is proposed in this paper. The proposed model incorparates EA in a self-service scenario where unlimited service is offered for a calling population of finite size. Firms offer discounts to attract customers which result in Encouraged arrivals(EA). A sort of queueing model which provides unlimited service affirms that all arrivals are honored. The cost analysis of the proposed model shows that profit of the firm increases with EA. The mean system size and average waiting time in the system are determined and the graphs are generated using MATLAB. A special case of client impatience and retention of such impatient clients are discussed.To back up the conclusions, numerical results are provided. The proposed model also satisfies Little’s formula(LF).