Paper Info
Title
A new type of negative customers.
Abstract
The possibility of removing a customer before being served is one that is often absent in the theory of waiting queues. This reminds us of the concept of negative customer, which was set forth by three leading scientists: Gelenbe, Boucherie-van Dijk and Henderson. Negative customers are likely to eliminate positive ones and make them disappear. They cannot build up in the queue, and are simply lost if they arrive to an empty queue Gelenbe, 1991; Gelenbe et al., 1991. In other contributions Boucherie and van Dijk, 1994, we find a type of negative customers that can build up in the queue, as opposed to Gelenbe negative customers. We introduce a new type of negative client, having the same properties mentioned above, but characterised by the fact that they may remove one or more regular clients, and leave the system after being server as a regular customer. We study the existence of stationary distribution, the intensity of transition, along with the quasi-reversibility of this new type of negative customer.
Year
DOI
Venue
2017
10.1504/IJCSM.2017.083751
IJCSM
Keywords
Field
DocType
queues, quasi-reversibility, stationary distribution, negative clients, transition intensity
Mathematical economics,Mathematical optimization,Queue,Real-time computing,Stationary distribution,Mathematics
Journal
Volume
Issue
ISSN
8
2
1752-5055
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Hasnaa El Mandili100.34
Benayad Nsiri284.65