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

Per Enqvist, Göran Svensson

2018

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.

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