A State Dependent Chat System Model

Per Enqvist, Göran Svensson

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 Harvard Style

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 - Volume 1: ICORES, ISBN 978-989-758-352-0, pages 121-132. DOI: 10.5220/0007391001210132


in Bibtex Style

@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 - Volume 1: ICORES,},
year={2019},
pages={121-132},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007391001210132},
isbn={978-989-758-352-0},
}


in EndNote Style

TY - CONF

JO - Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - A State Dependent Chat System Model
SN - 978-989-758-352-0
AU - Enqvist P.
AU - Svensson G.
PY - 2019
SP - 121
EP - 132
DO - 10.5220/0007391001210132