M/M/c/N queuing systems with encouraged arrivals, reneging, retention and feedback customers

Abstract

Customers often get attracted by lucrative deals and discounts offered by firms. These, attracted customers are termed as encouraged arrivals. In this paper, we developed a multi-server Feedback Markovian queuing model with encouraged arrivals, customer impatience, and retention of impatient customers. The stationary system size probabilities are obtained recursively. Also, we presented the necessary measures of performance and gave numerical illustrations. Some particular, and special cases of the model are discussed.

Keywords

• encouraged arrivals
• stochastic models
• queuing theory
• reneging
• impatience
• feedback