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A Continuous Model for States in CSMA/CA-Based Wireless Local Networks Derived from State Transition Diagrams

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Proceedings of International Conference on Data Science and Applications

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 287))

Abstract

The effectiveness of wireless local area networks significantly depends on the method of access to the common physical environment. The main access method that is used today in wireless local area networks is carrier sense multiple access with collision avoidance (CSMA/CA), managing the efficient distribution of the common environment between active stations. In this paper, as a topic of research we consider the state transition diagram of a CSMA/CA - based network, and we describe it by a system of differential equations. Analytical expressions for the probabilities of being in one of the possible states of a network station are derived.

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Notes

  1. 1.

    Here, (3.2) is not explicitly used; note that (3) together with (4) is a redundant system of equations.

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Author information

Authors and Affiliations

  1. Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstr. 8–10/E101, 1040, Wien, Austria

    Winfried Auzinger

  2. Institute of Computer Science and Information Technologies, Lviv Polytechnic National University, Lviv, Ukraine

    Kvitoslava Obelovska, Ivanna Dronyuk & Khrystyna Pelekh

  3. Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, Lviv, Ukraine

    Roksolyana Stolyarchuk

Authors
  1. Winfried Auzinger
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  2. Kvitoslava Obelovska
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  3. Ivanna Dronyuk
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  4. Khrystyna Pelekh
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  5. Roksolyana Stolyarchuk
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Corresponding author

Correspondence to Ivanna Dronyuk .

Editor information

Editors and Affiliations

  1. Computer Science & Engineering and Information Technology, Jaypee Institute of Information Technology, Noida, Uttar Pradesh, India

    Mukesh Saraswat

  2. Department of Computer Science and Engineering, Jadavpur University, Kolkata, West Bengal, India

    Sarbani Roy

  3. Department of Computer Science and Engineering, Jadavpur University, Kolkata, West Bengal, India

    Chandreyee Chowdhury

  4. Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW, Australia

    Amir H. Gandomi

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Auzinger, W., Obelovska, K., Dronyuk, I., Pelekh, K., Stolyarchuk, R. (2022). A Continuous Model for States in CSMA/CA-Based Wireless Local Networks Derived from State Transition Diagrams. In: Saraswat, M., Roy, S., Chowdhury, C., Gandomi, A.H. (eds) Proceedings of International Conference on Data Science and Applications. Lecture Notes in Networks and Systems, vol 287. Springer, Singapore. https://doi.org/10.1007/978-981-16-5348-3_45

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