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Queuing system in VLSI physical design

Author

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  • Vanalakshmi, R.
  • Maragathasundari, S.
  • Dhanalakshmi, K.S.

Abstract

The rapid development and communication of PCs requires a steadily increasing number of chips, which must be very small, energy-saving and more elitist. The physical structure (PD) is one of the basic structure squares used in large integrated circuits (VLSIs) of mixed code circuits. The process of transferring a dismantled network at the door level to a physically viable organization and finally to equipment is called Physical Design (PD). Physical Design (PD) is an event characterized by network search and associated frameworks by routing them through a metal layer stack to meet scheduling regulations such as design, performance, and region (PPA). It is not possible to physically carry out all the progress of the planning process, which is time consuming and error prone. The process performed by this design is examined by queuing theory. The queuing problem that occurs with the above structural steps is shown in the schematic and solved using the supplementary variable method. The queue size, server idle time, utilization, and probabilistic generating functions of various means of execution are derived. Special cases were discussed in numerical analysis. This model is very legal due to its practical application and mathematical demarcation method. The graphical overview provides accurate measurements of the limits attempted in this overview.

Suggested Citation

  • Vanalakshmi, R. & Maragathasundari, S. & Dhanalakshmi, K.S., 2022. "Queuing system in VLSI physical design," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 755-768.
    • Handle: RePEc:eee:matcom:v:201:y:2022:i:c:p:755-768
    DOI: 10.1016/j.matcom.2021.11.020
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    References listed on IDEAS

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    1. Omar Abu Arqub & Zaer Abo-Hammour & Shaher Momani & Nabil Shawagfeh, 2012. "Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-25, November.
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    Cited by:

    1. Gorbunova, A.V. & Lebedev, A.V., 2023. "Nonlinear approximation of characteristics of a fork–join queueing system with Pareto service as a model of parallel structure of data processing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 409-428.

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