Zhan, D;
Ward, AR;
(2018)
The M/M/1+M queue with a utility-maximizing server.
Operations Research Letters
, 46
(5)
pp. 518-522.
10.1016/j.orl.2018.08.004.
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Abstract
We consider an M/M/1+M queue with a human server, who is influenced by incentives. Specifically, the server chooses his service rate by maximizing his utility function. Our objective is to guarantee the existence of a unique maximum. The complication is that most sensible utility functions depend on the server utilization, a non-simple expression. We derive a property of the utilization that guarantees quasiconcavity of any utility function that multiplies the server's concave (including linear) “value” of his service rate by the server utilization.
| Type: | Article |
|---|---|
| Title: | The M/M/1+M queue with a utility-maximizing server |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.orl.2018.08.004 |
| Publisher version: | https://doi.org/10.1016/j.orl.2018.08.004 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | M/M/1+M, Utilization, Server utility, Endogenous service rate |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > UCL School of Management |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10061796 |
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