Meaning
Mathematical principle stating that the average number of items in a stable system equals the average arrival rate multiplied by the average time spent in the system. This fundamental theorem of queuing theory applies to any process where work enters, stays for a period and then exits. In manufacturing, Little’s law shows the direct relationship between work-in-process inventory, throughput and lead time.
Lead Time Relationship
Reducing the amount of inventory on the floor will decrease the time a single unit takes to move from start to finish. If the throughput remains constant, Little’s law dictates that the only way to shorten delivery times is to lower the total volume of active jobs.
System Stability
The formula only holds true over the long term when the rate of units entering is equal to the rate of units leaving. If a factory accepts more orders than it can complete, the work-in-process will grow indefinitely and the relationship will break down as the system becomes unstable.
Predictive Application
Production planners use the calculation to set realistic delivery dates based on current floor levels. By monitoring the arrival rate, they can predict how long a new order will wait before completion without needing to track every individual movement.