In this paper, we develop a machine repair queuing model with reverse balking, R repairmen, retention of reneged machines and feedback of repaired ones. The arrival and service follow the Poisson and exponential distribution respectively. Due to factors such as trust in the service facility, availability of skilled repairmen or urgency in repair, the failed units may not balk (reverse balking) even if the queue length is high. Also, if the failed units are unsatisfied with the service, they are provided with a feedback mechanism. However, if the failed units wait for a longer period of time, they may renege from the system. As this affects the reliability of the repair facility, they use some retention strategies to retain these failed units. The steady state analysis of the model is conducted and the stationary probabilities are derived analytically using the recursive technique. These probabilities are then utilized to compute the key performance measures. Finally, these performance metrics are analyzed using a thorough numerical investigation.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Steady State Analysis of a Feedback Machine Repair Queuing Model with Reverse Balking and Retention of Reneged Machines

  • C. K. Anjali,
  • Sreekanth Kolledath

摘要

In this paper, we develop a machine repair queuing model with reverse balking, R repairmen, retention of reneged machines and feedback of repaired ones. The arrival and service follow the Poisson and exponential distribution respectively. Due to factors such as trust in the service facility, availability of skilled repairmen or urgency in repair, the failed units may not balk (reverse balking) even if the queue length is high. Also, if the failed units are unsatisfied with the service, they are provided with a feedback mechanism. However, if the failed units wait for a longer period of time, they may renege from the system. As this affects the reliability of the repair facility, they use some retention strategies to retain these failed units. The steady state analysis of the model is conducted and the stationary probabilities are derived analytically using the recursive technique. These probabilities are then utilized to compute the key performance measures. Finally, these performance metrics are analyzed using a thorough numerical investigation.