Markovian Queuing Model with Customers' Impatience in Differentiated Vacations, Feedback and Balking Customers

Key Points

• To investigate the effects of customer impatience, feedback mechanisms, and differentiated vacations on queuing systems.
• Developed a Markovian queuing model incorporating customer behaviors.
• Analyzed the impact of differentiated vacations and customer feedback on queue length.
• Examined variations in customer impatience and its effects on service outcomes.
• Identified significant correlations between customer impatience and increased wait times.
• Observed that differentiated vacations reduced overall queue lengths under certain conditions.
• Feedback mechanisms improved customer satisfaction despite longer waits.

Abstract