The \(Geo/Geo/1+1\) queueing system with negative customers
type: Item
instance of: scholarly article
title: The \(Geo/Geo/1+1\) queueing system with negative customers
zbMATH Open document ID: 1296.90031
DOI: 10.1155/2013/182497
author: Zhanyou Ma
author: Yalin Guo
author: Pengcheng Wang
author: Yumei Hou
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: We study a \(Geo/Geo/1+1\) queueing system with geometrical arrivals of both positive and negative customers in which killing strategies considered are removal of customers at the head (RCH) and removal of customers at the end (RCE). Using quasi-birth-death (QBD) process and matrix-geometric solution method, we obtain the stationary distribution of the queue length, the average waiting time of a new arrival customer, and the probabilities of servers in busy or idle period, respectively. Finally, we analyze the effect of some related parameters on the system performance measures.
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 6354482
Wikidata QID: Q59023380
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/182497
OpenAlex ID: W1550514127
cites work: Queues with negative arrivals
cites work: A Pollaczek–Khintchine formula for M/G/1 queues with disasters
cites work: The Workload in the M/G/1 Queue with Work Removal
cites work: The M/G/1 queue with negative customers
cites work: The discrete-time \(Geo/Geo/1\) queue with negative customers and disasters
cites work: A \(GI/Geo/1\) queue with negative and positive customers
cites work: A single-server discrete-time queue with correlated positive and negative customer arrivals
Recommended article: A \(GI/Geo/1\) queue with negative and positive customers
Recommended article: Q3090016
Recommended article: Q3538588
Recommended article: The Geo/G/1 Queue with Negative Customers and Disasters
Recommended article: The M/G/1 queue with negative customers
Recommended article: The discrete-time \(Geo/Geo/1\) queue with negative customers and disasters
Recommended article: Q3071942
Recommended article: Comments on ‘The Geo/G/1 Queue with Negative Customers and Disasters’
Recommended article: Q5017414
description: scientific article; zbMATH DE number 6354482