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In 1961, a young professor published a five-page proof of a formula everyone used but no one had verified: L = λW. The number of things in a system equals the rate they arrive times the time they spend inside. It looked like a footnote. It turned out to be the physics of money. This episode follows that little law out of a Cleveland classroom and into the real world through three companies, across three eras, that stopped competing on products and started competing on time. One drained its inventory to survive scarcity and accidentally built the most studied production system in history. One inverted its cash cycle until its suppliers were financing its growth, collecting money from customers weeks before paying for the parts. And one compounded a negative cash cycle into an empire built, to a remarkable degree, on other people's timelines. Speed is motion. Velocity is motion toward cash. This is the difference.

Sources

  • John D. C. Little, "A Proof for the Queuing Formula: L = λW," Operations Research, Vol. 9, No. 3 (1961), pp. 383–387
  • John D. C. Little, "Little's Law as Viewed on Its 50th Anniversary," Operations Research (2011)
  • MIT News, "Institute Professor Emeritus John Little, a founder of operations research and marketing science, dies at 96" (October 2024)
  • INFORMS, History of O.R. Excellence — John D. C. Little biography and memorial tribute, OR/MS Today (2025)
  • Taiichi Ohno, Toyota Production System: Beyond Large-Scale Production (English ed., 1988)
  • Harvard Business School, "Dell's Working Capital" case ecosystem; contemporaneous financial commentary on Dell's negative cash conversion cycle (2004)
  • NYU Shanghai Center for Business Education and Research, "Amazon's Business Model" — analysis of trade credit financing Amazon's early growth

Operational Velocity is for education and general information only and is not investment, financial, legal, or tax advice, and nothing in it is a recommendation to buy or sell any security. The views expressed are the host's own, the company and figures discussed are drawn from public sources believed reliable but not guaranteed, and you should do your own research and consult a qualified professional before making any decision.


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