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תור M/M/c: מודל תורים מרובי-שרתים×מודל ארלנג C×
תחוםחקר ביצועיםחקר ביצועים
משפחהRegression modelRegression model
שנת המקור19981981
הוגה השיטהQueueing-theory tradition; Gross & HarrisAgner Krarup Erlang; Cooper
סוגMulti-server Markovian queueing modelSteady-state queueing model
מקור מכונןGross, D., & Harris, C. M. (1998). Fundamentals of Queueing Theory (3rd ed.). Wiley. ISBN: 978-0-471-17083-9Cooper, R. B. (1981). Introduction to Queueing Theory (2nd ed.). North-Holland. ISBN: 978-0-444-00379-7
כינוייםMulti-Server Erlang Queue, c-Server Markovian Queue, Erlang-C Queue, Çok Sunuculu M/M/c KuyruğuM/M/c Queue, Multi-Server Queueing Model, Erlang Delay Formula, Erlang-C Bekleme Modeli
קשורות33
תקצירThe M/M/c queue is a multi-server stochastic model in which customers arrive according to a Poisson process at rate λ, are served by c identical servers each with exponentially distributed service times at rate μ, and wait in a single common queue when all servers are busy. Systematized within classical queueing theory and thoroughly treated by Gross and Harris (1998), it extends the simpler M/M/1 model to settings with parallel servers, making it the foundational tool for capacity planning in service systems.The Erlang C model is a steady-state queueing formula that determines the probability a customer must wait before being served in a system with c parallel servers, Poisson arrivals at rate lambda, and exponentially distributed service times. Originally developed by Danish engineer Agner Krarup Erlang in the early twentieth century for telephone exchange design, and formalized in the queueing theory literature by Cooper (1981), it remains the canonical staffing model for call centers and service operations worldwide.
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ScholarGateהשוואת שיטות: M/M/c Queue · Erlang C Model. אוחזר בתאריך 2026-06-15 מתוך https://scholargate.app/he/compare