Non-existence of stabilizing policies for the critical push-pull network and generalizations


Nazarathy, Yoni, Rojas-Nandayapa, Leonardo ORCID: 0000-0001-5652-3183 and Salisbury, Thomas S (2013) Non-existence of stabilizing policies for the critical push-pull network and generalizations. OPERATIONS RESEARCH LETTERS, 41 (3). pp. 265-270.

[img] Text
1208.5872v2.pdf - Submitted version
Download (176kB)

Abstract

The push-pull queueing network is a simple example in which servers either serve jobs or generate new arrivals. It was previously conjectured that there is no policy that makes the network positive recurrent (stable) in the critical case. We settle this conjecture and devise a general sufficient condition for non-stabilizability of queueing networks which is based on a linear martingale and further applies to generalizations of the push-pull network.

Item Type: Article
Additional Information: 14 pages, 3 figures
Uncontrolled Keywords: Stability, Non-stabilizability, Control of queueing networks, Push-pull network, Linear martingales
Depositing User: Symplectic Admin
Date Deposited: 04 Nov 2016 08:39
Last Modified: 19 Jan 2023 07:26
DOI: 10.1016/j.orl.2013.01.013
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3004346
Dimensions
Altmetric
CORE (COnnecting REpositories)