Abstract
Queues of batch arrivals and bulk service including balking and reneging behaviors of customers are commonly observed in real life. This study formulates queues of this type using compound Poisson processes and determines some key probabilistic measures. Analytical investigation is undertaken yielding a range of mathematical results. The developed mathematical model and approaches apply to a variety of practical queueing processes that are featured with bulk queues, balking, and reneging. A bus bridging response to rail disruption is considered as an application example. And large-scale Monte-Carlo simulations are conducted to demonstrate the mathematical results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.