Little's Law in a Claims Team (System Dynamics)
Backlog, work in progress and completions as stocks, with a WIP limit gating the start rate so lead time follows from WIP over throughput.
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title "Little's law - backlog, WIP and throughput in a claims team"
cloud demand at (-1,2)
stock Backlog "Backlog queue" at (1,2) initial 640
stock WIP "Work in progress" at (4,2) initial 85
stock Done "Completed this month" at (7,2) initial 0
flow arrivals from demand to Backlog rate "arrival rate"
flow starting from Backlog to WIP rate "pull only below the WIP limit"
flow finishing from WIP to Done rate "WIP / cycle time"
aux arrival at (0.5,5) value 210 label "arrivals per week"
aux wiplimit at (3,5) value 60 label "WIP limit"
aux cycle at (5.5,5) value 2.4 label "cycle time weeks"
aux leadtime at (7.5,5) label "lead time = WIP / throughput"
info arrival -> arrivals
info wiplimit -> starting
info WIP -> starting
info Backlog -> starting
info cycle -> finishing
info WIP -> finishing
info WIP -> leadtime
info Done -> leadtime