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《Acta Analysis Functionalis Applicata》 2009-01
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Another Eigenvalue of the M/M/1 Queueing Model with Exceptional Service Time for the First Customer in Each Busy Period

ZHANG Ming-qin, Geni Gupur College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China  
We study eigenvalue in the left half complex plane of the operator corresponding to the M/M/1 queueing model with exceptional service time for the first customer in each busy period, and prove that 2(λμ)~(1/2)-λ-μ is an eigenvalue of the operator with geometric multiplicity one.
【Fund】: 教育部重点项目(205180);; 新疆维吾尔自治区高校研究计划优秀青年学者奖励基金(XJEDU2004E05);; 新疆大学科学基金
【CateGory Index】: O226
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【References】
Chinese Journal Full-text Database 1 Hits
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【Co-references】
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1 Geni Gupur 1,3 , CAO Jun2 (1.College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China)(2.Deprtment of Mathematics, Xinyang Normal University, Henan 464000, China)(3.Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China);Asymptotic Properties of the Four Indices for M/M/1 Queue System[J];Mathematics In Practice and Theory;2003-01
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3 Geni Gupur(College of Mathematics and System Science,Urumqi,Xinjiang 830046,China);Description of Relatively-compact Subset of a Banach Space[J];Journal of Xinjiang University (Natural Science Edition);2005-04
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5 GUPUR Geni, LI Xue-zhi (Department of Mathematics, Xinjiang University, Urumqi 830046, China Department of Mathematics, Xinyang Teachers College, Henan 464000, China Institute of Systems Science, Academia Sinica, Beijing 100080, China);A Note on the M/M/1 Queueing Model Described by Ordinary Differential Equations[J];ACTA ANALYSIS FUNCTIONALIS APPLICATA;1999-01
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8 ZHANG Long, Geni GupurCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China;Another Eigenvalue of the M/M/1 Operator[J];Acta Analysis Functionalis Applicata;2008-01
9 LV Yi-cheng,Geni Gupur College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China;Another Eigenvalue of the M/M/1 Retrial Queueing Model with Special Retrial Times[J];Acta Analysis Functionalis Applicata;2009-02
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