Fundamentals of Queuing Systems

1. Introduction
Nick T. Thomopoulos

2. Preliminary Concepts
Nick T. Thomopoulos

3. One Server, Infinite Queue (M/M/1)
Nick T. Thomopoulos

4. One Server, Finite Queue (M/M/1/N)
Nick T. Thomopoulos

5. One Server, No Queue (M/M/1/1)
Nick T. Thomopoulos

6. Multi Servers, Infinite Queue (M/M/k)
Nick T. Thomopoulos

7. Multi Servers, Finite Queue (M/M/k/N)
Nick T. Thomopoulos

8. Multi Servers, No Queue (M/M/k/k)
Nick T. Thomopoulos

9. One Server, Arbitrary Service (M/G/1)
Nick T. Thomopoulos

10. 2 Populations, One Server, Arbitrary Service (M/G/1/2)
Nick T. Thomopoulos

11. M Machines, One Repairman (M/M/1/M)
Nick T. Thomopoulos

12. M Machines, R Repairmen (M/M/R/M)
Nick T. Thomopoulos

13. One Server, Repeat Service (M/M/1/θ)
Nick T. Thomopoulos

14. Multi Servers, Repeat Service (M/M/k/θ)
Nick T. Thomopoulos

15. Tandem Queues (M/M/1: M/M/1)
Nick T. Thomopoulos

16. Priority System, One Server, Infinite Queue (M/M/1//P)
Nick T. Thomopoulos

17. Priority, One Server, Arbitrary Service (M/G/1//P)
Nick T. Thomopoulos

18. One Server, Constant Service (M/D/1)
Nick T. Thomopoulos

19. Exponential Arrivals, Erlang Service (M/E2/1)
Nick T. Thomopoulos

20. Erlang Arrivals, Exponential Service (E2/M/1)
Nick T. Thomopoulos

21. Erlang Arrivals, Erlang Service (E2/E2/1)
Nick T. Thomopoulos

22. Waiting Time Density, One Server (M/M/1)
Nick T. Thomopoulos

23. Waiting Time Density, Multi Servers (M/M/k)
Nick T. Thomopoulos

Keywords: Statistics, Statistics for Business/Economics/Mathematical Finance/Insurance, Operations Research/Decision Theory, Operations Research, Management Science