Queue Theory Demonstrations

1. Single Queue vs. Multiple Queues

Compares the time to complete 100 tasks in two systems with the same total number of servers but different queueing structures. Variability in task service time is included (each task takes 80ms-120ms).

(Servers per queue = Total Servers / Num Queues. Must be a whole number)
Single Queue
Queue (0)
Simulating...

Multiple Queues ()
Simulating...

2. Cycle Time vs. Utilization

Demonstrates how average waiting time (a component of cycle time) increases as server utilization approaches 100%. Based on M/M/1 queueing model principles for simplicity.

Relative Delay Factor at -% Utilization: 80

(This is a simplified model. Actual increase depends on queue discipline, number of servers, and variability distribution.)