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Little's Law×シックスシグマDMAIC×バリューストリームマッピング(VSM)×
分野オペレーションズ・リサーチ品質管理品質管理
系統Regression modelProcess / pipelineProcess / pipeline
提唱年196120141999
提唱者John D. C. LittleMotorola; Pyzdek & KellerMike Rother & John Shook
種類Exact queueing identityStructured process improvement methodologyVisual process analysis tool
原典Little, J. D. C. (1961). A proof for the queuing formula: L = λW. Operations Research, 9(3), 383–387. DOI ↗Pyzdek, T., & Keller, P. (2014). The Six Sigma Handbook (4th ed.). McGraw-Hill. ISBN: 978-0-07-184053-9Rother, M., & Shook, J. (1999). Learning to See: Value Stream Mapping to Add Value and Eliminate Muda. Lean Enterprise Institute. ISBN: 978-0-9667843-0-5
別名L = λW Theorem, Little's Theorem, Little's Result, Little YasasıDMAIC Framework, Six Sigma Process Improvement Cycle, Define-Measure-Analyze-Improve-Control, Altı Sigma DMAICVSM, Material and Information Flow Mapping, Lean Flow Mapping, Değer Akış Haritalama
関連333
概要Little's Law is a fundamental theorem in queueing theory that relates the long-run average number of items in a stable system (L) to the long-run average arrival rate (λ) and the long-run average time an item spends in the system (W), expressed as L = λW. Introduced and rigorously proved by John D. C. Little in 1961, the law holds for virtually any stable stochastic system, requiring no assumptions about arrival distributions, service distributions, or queue disciplines.Six Sigma DMAIC is a data-driven, five-phase process improvement methodology — Define, Measure, Analyze, Improve, and Control — used to reduce defects and process variation to fewer than 3.4 defects per million opportunities. Originating at Motorola in the 1980s and systematized by practitioners including Pyzdek and Keller, it is widely adopted in manufacturing, healthcare, finance, and service industries seeking sustained quality gains.Value Stream Mapping (VSM) is a lean management technique used to visualize, analyze, and improve the flow of materials and information required to bring a product or service from raw input to customer delivery. Introduced by Mike Rother and John Shook in their 1999 workbook Learning to See, VSM draws on the Toyota Production System tradition to expose waste, delays, and non-value-adding activities across the entire production value stream.
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ScholarGate手法を比較: Little's Law · Six Sigma DMAIC · Value Stream Mapping. 2026-06-20に以下より取得 https://scholargate.app/ja/compare