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Time-dependent analysis for a queue modeled by an infinite system of partial differential equations 被引量:4

Time-dependent analysis for a queue modeled by an infinite system of partial differential equations
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摘要 By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its steady-state solution. By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its steady-state solution.
作者 GUPUR Geni
出处 《Science China Mathematics》 SCIE 2012年第5期985-1004,共20页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (GrantNo. 10861011)
关键词 M/G/1 queueing model with single vacation resolvent set EIGENVALUE 偏微分方程系统 时间变化 M/G/1排队 队列 建模 排队模型 时间依赖解 单重休假
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