Increasing convex ordering of queue length in bulk queues

0.00 Avg rating—0 Votes

Article ID:	iaor2009707
Country:	Netherlands
Volume:	36
Issue:	1
Start Page Number:	123
End Page Number:	126
Publication Date:	Jan 2008
Journal:	Operations Research Letters
Authors:	Cai Nanlian, Zheng Yaohui
Keywords:	bulk queues, M/G/1 queues, GI/M/1 queues

Abstract:

This paper considers single-server bulk queues M^(X)/G^(Y)/1 and G^(X)/M^(Y)/1. In the former queue, service times and service capacity are dependent, while in the latter queue, inter-arriving times and arriving group size are dependent. We show that stronger dependence between those leads to shorter queue lengths in the increasing convex ordering sense.

Reviews

Required fields are marked *. Your email address will not be published.