Most of the Damage Done by a Queue Is Caused by High-Queues States

Notes

The probability of finding a queue in a specific quantitative state (low or high-queue state) is a function of capacity utilization. Low-queue states are more probable than high-queue states, but high-queue states are more important because they delay more jobs. As a result, they strongly influence cycle time and can cause more economic damage and waste to the project.

The $\text{State Probability}$ of an $M/M/1/\infty$ queue to have $n$ jobs in the system is:

Backlinks

• The Principles of Product Development Flow
• Block All Demand when WIP Reaches Its Upper Limit
• The Economics of Holding WIP Changes when Queue Size Changes