Topic: The M/M/1 Queue

PASTA and What Arriving Customers Observe

Mean and Variance of the Number in System

M/M/1 Assumptions and State Description

Local Balance Equations for Queue Length

Little’s Law for the M/M/1 Queue

Idle Periods and Busy-Cycle Lengths

Existence and Uniqueness of the Stationary Distribution

Distinguishing Queue Length, System Size, and Waiting Time

Converting Arrival and Service Rates Correctly

Comparing Arrival Reduction With Faster Service