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Authors: Per Enqvist 1 and Göran Svensson 2

Affiliations: 1 Kungliga Tekniska Högskolan, Sweden ; 2 Kungliga Tekniska Högskolan and Teleopti WFM, Sweden

Keyword(s): Queueing, Queueing Networks, Marginal Allocation, Conditional Value-at-Risk, Abandonments.

Abstract: Two multi-objective minimization problems are posed, one for Erlang-C queues and one for Erlang-A queues. The objectives are to minimize the cost of added agents while also trying to optimize a quality of service measure. For the Erlang-C system we propose using the Conditional Value-at-Risk measure with waiting time as the loss function. We prove that this quality of service measure is integer convex in the number of servers. For the Erlang-A system we use the fraction of abandoning customers and some rate based weighting function as the service measure. Finally, a numerical comparison of the two system types is performed. The numerical results show the similarities between the two systems in terms of optimal points.

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Paper citation in several formats:
Enqvist, P. and Svensson, G. (2018). Multi-server Marginal Allocation - With CVaR and Abandonment based QoS Measures. In Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-285-1; ISSN 2184-4372, SciTePress, pages 297-303. DOI: 10.5220/0006652602970303

@conference{icores18,
author={Per Enqvist. and Göran Svensson.},
title={Multi-server Marginal Allocation - With CVaR and Abandonment based QoS Measures},
booktitle={Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2018},
pages={297-303},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006652602970303},
isbn={978-989-758-285-1},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 7th International Conference on Operations Research and Enterprise Systems - ICORES
TI - Multi-server Marginal Allocation - With CVaR and Abandonment based QoS Measures
SN - 978-989-758-285-1
IS - 2184-4372
AU - Enqvist, P.
AU - Svensson, G.
PY - 2018
SP - 297
EP - 303
DO - 10.5220/0006652602970303
PB - SciTePress

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