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exponential-distribution

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A simulation of an ACPC Grading System Server where multiple computers process incoming tasks. The system handles exponential interarrival and service times with a FIFO queue mechanism and calculates key performance metrics like average delay time, waiting time, and time-based average queue length.

  • Updated Dec 25, 2024
  • Python

This Shiny application allows users to visualize the cumulative distribution functions (CDFs) of a random variable 𝑥 following one of the selected probability distributions: Standard Normal Distribution - 𝑁(0,1) , General Normal Distribution - 𝑁(𝜇,𝜎^2) or Exponential Distribution - 𝐸𝑥𝑝(𝜆). Users can select the distribution's parameters.

  • Updated Apr 3, 2025
  • R

Distributed M/M/C queue simulation using Apache Kafka as a FIFO buffer, Spring Boot producer/consumer with configurable parallel servers, Poisson load generation via k6, and full performance monitoring with Prometheus, Grafana, and PostgreSQL for analytical validation (Little’s Law, utilization, throughput, and queue length).

  • Updated Feb 19, 2026
  • Java

A pure-Python survival analysis framework that models cancer patient survival times using the exponential distribution, incorporating Monte Carlo simulation, goodness-of-fit testing, bootstrap inference, and publication-quality visualizations for academic and healthcare analytics.

  • Updated Jan 16, 2026
  • Python

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