A Two-Class Queueing System with Service Times Dependent on the Presence of a Certain Class

التفاصيل البيبلوغرافية
العنوان: A Two-Class Queueing System with Service Times Dependent on the Presence of a Certain Class
المؤلفون: Sasaninejad, Sara, Walraevens, Joris, Moradi, Hossein, Wittevrongel, Sabine
المصدر: FEARS 2022, Ghent University - Faculty of Engineering and Architecture Research Symposium 2022, Ghent, Belgium, 28 October 2022
بيانات النشر: Zenodo
سنة النشر: 2022
المجموعة: Zenodo
الوصف: Most queueing models and their analysis have a rich history and follow a process of increased generality and complexity. In this paper, we introduce a new model, namely a multi-class queueing model where service times depend on the presence of one of the classes. Our model is motivated by road traffic, where the presence of heavy vehicles in a queue slows down the entire system, or, in contrast, where the presence of emergency vehicles may speed up the service. The specific assumption we impose is that the service time of each customer depends on whether at least one customer of that particular class is present in the system at the time of service. Although we study a fairly simple discrete-time model, we show that analysis is not straightforward. Furthermore, numerical examples expose that the impact of particular customers in the system can lead to a substantial slow down (or, in contrast, speed up) of the entire system.
نوع الوثيقة: conference object
اللغة: unknown
Relation: https://zenodo.org/communities/fears; https://doi.org/10.5281/zenodo.7405711; https://doi.org/10.5281/zenodo.7405712; oai:zenodo.org:7405712
DOI: 10.5281/zenodo.7405712
الاتاحة: https://doi.org/10.5281/zenodo.7405712
Rights: info:eu-repo/semantics/openAccess ; Creative Commons Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/legalcode
رقم الانضمام: edsbas.EB06CA57
قاعدة البيانات: BASE