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এম/এম/সি কিউ: মাল্টি-সার্ভার কিউইং মডেল×এrlang C মডেল×
ক্ষেত্রপরিচালন গবেষণাপরিচালন গবেষণা
পরিবারRegression modelRegression model
উদ্ভবের বছর19981981
প্রবর্তকQueueing-theory tradition; Gross & HarrisAgner Krarup Erlang; Cooper
ধরনMulti-server Markovian queueing modelSteady-state queueing model
মৌলিক উৎসGross, 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
অপর নামMulti-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
সম্পর্কিত33
সারসংক্ষেপThe 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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ScholarGateপদ্ধতির তুলনা করুন: M/M/c Queue · Erlang C Model. 2026-06-15 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare