Applications of Mathematical Modeling, Machine Learning, and Intelligent Computing for Industrial Development

Chapter 20 M/M1 + M2/1/N/K-policy queues to monitor waiting times via intelligent computing

R. Sivasamy

University of Botswana, Gaborone, Botswana

L. Gabaitiri

Botswana International University of Science and Technology, Palapye, Botswana

P. M. Kgosi and W. M. Thupeng

University of Botswana, Gaborone, Botswana

DOI: 10.1201/9781003386599-23

Contents

1. 20.1 Introduction
   • 20.1.1 False alarm rate for control chart and average run length (ARL)
   • 20.1.2 Applications of queueing models
   • 20.1.3 Examples of queueing systems
   • 20.1.4 Statistical Process Control (SPC)
2. 20.2 Steady state distributions of M/M₁ + M₂/1/N/K-policy queues
   • 20.2.1 Moments of waiting time process and control limits
3. 20.3 Sampling plan and simulation
   • 20.3.1 Embedded Markov chains