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Multi-server marginal allocation With CVaR and abandonment based QoS measures
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. Teleopti WFM, Teleopti AB, Sweden.
2018 (English)In: ICORES 2018 - Proceedings of the 7th International Conference on Operations Research and Enterprise Systems, SciTePress, 2018, p. 297-303Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
SciTePress, 2018. p. 297-303
Keywords [en]
Abandonments, Conditional Value-at-Risk, Marginal Allocation, Queueing, Queueing Networks
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-230059Scopus ID: 2-s2.0-85047935506ISBN: 9789897582851 OAI: oai:DiVA.org:kth-230059DiVA, id: diva2:1216684
Conference
7th International Conference on Operations Research and Enterprise Systems, ICORES 2018, Funchal, Madeira, Portugal, 24 January 2018 through 26 January 2018
Note

QC 20180612

Available from: 2018-06-12 Created: 2018-06-12 Last updated: 2018-06-12Bibliographically approved

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  • apa
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  • ieee
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  • nn-NB
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  • Other locale
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Output format
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