Cumulative flow diagram

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A cumulative flow diagram is a tool used in queuing theory. It is an area graph that depicts the quantity of work in a given state, showing arrivals, time in queue, quantity in queue, and departure.

Cumulative flow diagrams are seen in the literature of agile software development and lean product development.[1][2] They are also seen in transportation.[3]

Another term is "cumulative input-output diagram". The term "Newell curve" is also used, in reference to Gordon F. Newell. It is not known if Newell originated the curve.


  1. ^ Anderson, David (2010). Kanban: Successful Evolutionary Change for Your Technology Business. Sequim, WA: Blue Hole Press. p. 25. ISBN 978-0-9845214-0-1. 
  2. ^ Reinertsen, Donald (2009). The Principles of Product Development Flow: Second Generation Lean Product Development. Redondo Beach, CA: Celeritas Publishing. pp. 71–72. ISBN 978-1-935401-00-1. 
  3. ^ Wikibooks. "Fundamentals of Transportation/Queuing".