Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A Marginal Allocation Approach to Resource Management for a System of Multiclass Multiserver Queues Using Abandonment and CVaR 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.
2019 (English)In: 7th International Conference on Operations Research and Enterprise Systems, ICORES 2018, Springer Verlag , 2019, p. 119-133Conference paper, Published paper (Refereed)
Abstract [en]

A class of resource allocation problems is considered where some quality of service measure is set against the agent related costs. Three multiobjective minimization problems are posed, one for a system of Erlang-C queues and two for systems of Erlang-A queues. In the case of the Erlang-C systems we introduce a quality of service measure based on the Conditional Value-at-Risk with waiting time as the loss function. This is a risk coherent measure and is well established in the field of finance. An algebraic proof ensures that this quality of service measure is integer convex in the number of servers. In the case of the Erlang-A systems we introduce two different quality of service measures. The first is a weighted sum of fractions of abandoning customers and the second is Conditional Value-at-Risk, with the waiting time in queue for a customer conditioned on eventually receiving service. Finally, numerical experiments on the two system types with the given quality of service measures, are presented and the optimal solutions are compared.

Place, publisher, year, edition, pages
Springer Verlag , 2019. p. 119-133
Keywords [en]
Algebra, Operations research, Queueing networks, Queueing theory, Resource allocation, Risk assessment, Telecommunication services, Value engineering, Abandonments, Allocation approach, Conditional Value-at-Risk, Marginal allocation, Minimization problems, Numerical experiments, Queueing, Resource allocation problem, Quality of service
National Category
Computer Systems
Identifiers
URN: urn:nbn:se:kth:diva-252101DOI: 10.1007/978-3-030-16035-7_7Scopus ID: 2-s2.0-85064054309OAI: oai:DiVA.org:kth-252101DiVA, id: diva2:1340164
Conference
24 January 2018 through 26 January 2018
Note

QC 20190802

Available from: 2019-08-02 Created: 2019-08-02 Last updated: 2019-08-02Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopusConference

Authority records BETA

Enqvist, PerSvensson, Göran

Search in DiVA

By author/editor
Enqvist, PerSvensson, Göran
By organisation
Optimization and Systems Theory
Computer Systems

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 19 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf