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Distribution of occupied resources on a fractional resource sharing in a queueing system

Author

Listed:
  • T.B. Ravaliminoarimalalason
  • M. Rakotomalala
  • F. Randimbindrainibe

Abstract

Many server systems can share their resources by fractional way not discrete. It can be found in major cases of communication systems sharing power, spectrum or bandwidth resources for example. The objective of this work is to build analytical expressions of the amount of occupied resources in a structure modelled as queueing system. The queue server shares its resources to customers that request services to him. Both infinite and finite capacity are highlighted and the requested resources can be fractional. The amount of occupied resources as real-valued random variable is characterised by its distribution functions that we proposed in this paper. They are validated by simulations, and then can be used to predict the performances of such system or to dimension the appropriate needed capacity. Impacts of system load factor and system capacity has been also analysed.

Suggested Citation

  • T.B. Ravaliminoarimalalason & M. Rakotomalala & F. Randimbindrainibe, 2024. "Distribution of occupied resources on a fractional resource sharing in a queueing system," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 49(1), pages 131-145.
    • Handle: RePEc:ids:ijores:v:49:y:2024:i:1:p:131-145
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