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.
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Official URL: http://dx.doi.org/10.1016/j.orl.2013.01.013
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 |
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