@article{sasanuma_2021, 
  title={Asymptotic Analysis for Systems with Deferred Abandonment}, 
  DOI={10.3390/math9182187}, 
  abstractNote={<jats:p>This short paper concerns the analysis of the M/M/k queueing system with customer abandonment. In this system, service managers provide a finite buffer space, which is a waiting area that prevents customers from abandoning the system. Abandonment of the system can occur from reneging (exiting from the queue while waiting), and/or balking (leaving the system without waiting). We derive an analytical expression to represent the impact of the buffer space capacity on the delay probability and the abandonment probability for a system with deferred abandonment. The result indicates the provision of the buffer space in a large system could only increase the delay probability while the abandonment probability remains unchanged. Despite the benevolent intentions of service managers, providing a buffer space may exacerbate the performance of larger systems.</jats:p>}, 
  number={18}, 
  publisher={MDPI AG}, 
  author={Sasanuma, Katsunobu}, 
  year={2021}, 
  month={Sep}
  }