On a fractional queueing model with catastrophes

作者：

Highlights：

• We obtain new properties for the fractional M/M/1 queue with catastrophes.

• We obtain the state probabilities of the fractional queue with catastrophes starting from any number of customers.

• We obtain expressions for mean and variance of the number of customers in the fractional queue with catastrophes.

• We provide estimation tools for direct application of the proposed model to practical settings.

摘要

•We obtain new properties for the fractional M/M/1 queue with catastrophes.•We obtain the state probabilities of the fractional queue with catastrophes starting from any number of customers.•We obtain expressions for mean and variance of the number of customers in the fractional queue with catastrophes.•We provide estimation tools for direct application of the proposed model to practical settings.

论文关键词：M/M/1 queue with catastrophes,Fractional queue,State probabilities,Estimation

论文评审过程：Received 8 February 2021, Revised 11 May 2021, Accepted 19 June 2021, Available online 4 July 2021, Version of Record 4 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126468