Performance Analysis of M/M/1 Queueing Model with Working Vacation, Reneging, Balking and Feedback Customers and with Standby Server

Key Points

• The study aims to analyze the performance of an M/M/1 queueing model that incorporates working vacations and customer behaviors.
• Developed a mathematical model of the M/M/1 queueing system.
• Incorporated factors such as working vacation, reneging, balking, and feedback customers.
• Evaluated the system performance through analytical methods.
• The model shows decreased wait times and improved service levels under specific conditions.
• Feedback customers increased service efficiency while reneging and balking led to higher abandonment rates.
• Inclusion of standby servers further enhanced system robustness.