Multi-server Marginal Allocation - With CVaR and Abandonment based QoS Measures

Per Enqvist, Göran Svensson

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 Harvard Style

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 - Volume 1: ICORES, ISBN 978-989-758-285-1, pages 297-303. DOI: 10.5220/0006652602970303


in Bibtex Style

@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 - Volume 1: ICORES,},
year={2018},
pages={297-303},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006652602970303},
isbn={978-989-758-285-1},
}


in EndNote Style

TY - CONF

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