A State Dependent Chat System Model

Per Enqvist; Göran Svensson

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Paper

A State Dependent Chat System Model

Topics: Queuing Theory; Resource Allocation

In Proceedings of the 8th International Conference on Operations Research and Enterprise Systems ICORES - Volume 1, 121-132, 2019 , Prague, Czech Republic

Authors: Per Enqvist ¹ and Göran Svensson ²

Affiliations: ¹ Division of Optimization and Systems Theory, Kungliga Tekniska Högskolan, Lindstedtsv 25, Stockholm and Sweden ; ² Division of Optimization and Systems Theory, Kungliga Tekniska Högskolan, Lindstedtsv 25, Stockholm, Sweden, Teleopti WFM, Teleopti AB, Karlavägen 106, Stockholm and Sweden

Keyword(s): Chat System, Queueing Network, Modeling.

Related Ontology Subjects/Areas/Topics: Methodologies and Technologies ; Operational Research ; Queuing Theory ; Resource Allocation

Abstract: 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.

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Paper citation in several formats:

Enqvist, P. and Svensson, G. (2019). A State Dependent Chat System Model. In Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-352-0; ISSN 2184-4372, SciTePress, pages 121-132. DOI: 10.5220/0007391001210132

@conference{icores19,
author={Per Enqvist. and Göran Svensson.},
title={A State Dependent Chat System Model},
booktitle={Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2019},
pages={121-132},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007391001210132},
isbn={978-989-758-352-0},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - ICORES
TI - A State Dependent Chat System Model
SN - 978-989-758-352-0
IS - 2184-4372
AU - Enqvist, P.
AU - Svensson, G.
PY - 2019
SP - 121
EP - 132
DO - 10.5220/0007391001210132
PB - SciTePress