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A state dependent chat system model
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: ICORES 2019 - Proceedings of the 8th International Conference on Operations Research and Enterprise Systems, SciTePress , 2019, p. 121-132Conference paper, Published paper (Refereed)
Abstract [en]

The main purpose of this paper is to introduce a model of a chat based communication system, as well as developing the necessary tools to enable resource optimization with regards to a measure of the service quality. The system is modeled by a Markov process in continuous time and with a countable state space. The construction of the intensity matrix corresponding to this system is outlined and proofs of a stationary state distribution and an efficient way of calculating it are introduced. A numerical example for system optimization when the service measure is the average sojourn time is included as well as a heuristic algorithm for quicker solution generation. 

Place, publisher, year, edition, pages
SciTePress , 2019. p. 121-132
Keywords [en]
Continuous time systems, Heuristic algorithms, Markov processes, Models, Operations research, Queueing networks, Average sojourn time, Chat system, Countable state space, Intensity matrixes, Resource optimization, State-dependent, Stationary state distributions, System optimizations, Optimization
National Category
Computer Systems
Identifiers
URN: urn:nbn:se:kth:diva-252093Scopus ID: 2-s2.0-85064620450OAI: oai:DiVA.org:kth-252093DiVA, id: diva2:1340148
Conference
8th International Conference on Operations Research and Enterprise Systems, ICORES 2019, 19 February 2019 through 21 February 2019
Note

QC 20190802

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

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Enqvist, PerSvensson, Göran

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Citation style
  • apa
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  • ieee
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  • en-US
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  • nn-NO
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  • Other locale
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Output format
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  • asciidoc
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