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

作　　者：GUPUR Geni 

机构地区：[1]College of Mathematics and Systems Science,Xinjiang University

出　　处：《Science China Mathematics》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)

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.

关 键 词：M/G/1 queueing model with single vacation resolvent set EIGENVALUE 

分 类 号：O175.2[理学—数学] P315.7[理学—基础数学]