Fundamentals of Queuing Systems: Statistical Methods for Analyzing Queuing Models

Introduction.- Preliminary Concepts.- One Server, Infinite Queue (M/M/1).- One Server, Finite Queue (M/M/1/N).- One Server, No Queue (M/M/1/1).- Multi Servers, Infinite Queue (M/M/k).- Multi Servers, Finite Queue (M/M/k/N).- Multi Servers, No Queue (M/M/k/k).- One Server, Arbitrary Service (M/G/1).- 2 Populations, One Server, Arbitrary Service (M/G/1/2).- M Machines, One Repairman (M/M/1/M).- M Machines, R Repairmen (M/M/R/M).- One Server, Repeat Service (M/M/1/q).- Multi Servers, Repeat Service (M/M/k/theta).- Tandem Queues (M/M/1 : M/M/1).- Priority System, One Server, Infinite Queue (M/M/1//P).- Priority, One Server, Arbitrary Service (M/G/1/P).- One Server, Constant Service (M/D/1).- Exponential Arrivals, Erlang Service (M/E2/1).- Erlang Arrivals, Exponential Service (E2/M/1).- Erlang Arrivals, Erlang Service (E2/E2/1).- Waiting Time Density, One Server (M/M/1).- Waiting Time Density, Multi Servers (M/M/k).- Bibliography.- Problems.- Solutions.