In this paper, we consider point spectra of the operator corresponding to the M/M/1 queueing model with working vacation and vacation interruption. We prove that the underlying operator has uncountable eigenvalues on ...In this paper, we consider point spectra of the operator corresponding to the M/M/1 queueing model with working vacation and vacation interruption. We prove that the underlying operator has uncountable eigenvalues on the left real line and these results describe the point spectra of the operator. Then, we show that the essential growth bound of the C_0-semigroup generated by the operator is 0 and therefore it is not quasi compact, the essential spectral bound of the C_0-semigroup is equal to 1. Moreover, our results imply it is impossible that the time-dependent solution of the model exponentially converges to its steady-state solution.展开更多
We consider a variant of M/M/1 where customers arrive singly or in pairs. Each single and one member of each pair is called primary;the other member of each pair is called secondary. Each primary joins the queue upon ...We consider a variant of M/M/1 where customers arrive singly or in pairs. Each single and one member of each pair is called primary;the other member of each pair is called secondary. Each primary joins the queue upon arrival. Each secondary is delayed in a separate area, and joins the queue when “pushed” by the next arriving primary. Thus each secondary joins the queue followed immediately by the next primary. This arrival/delay mechanism appears to be new in queueing theory. Our goal is to obtain the steady-state probability density function (pdf) of the workload, and related quantities of interest. We utilize a typical sample path of the workload process as a physical guide, and simple level crossing theorems, to derive model equations for the steady-state pdf. A potential application is to the processing of electronic signals with error free components and components that require later confirmation before joining the queue. The confirmation is the arrival of the next signal.展开更多
目的探讨m1A RNA甲基化相关基因和血浆m1A甲基化水平对结肠腺癌(colorectal adenocarcinoma,COAD)的诊断效能,为COAD早期诊断提供新的方案。方法通过UALCAN、The Human Protein Atlas和TCGA-GTEx数据库,分析COAD组织和正常结肠组织中m1...目的探讨m1A RNA甲基化相关基因和血浆m1A甲基化水平对结肠腺癌(colorectal adenocarcinoma,COAD)的诊断效能,为COAD早期诊断提供新的方案。方法通过UALCAN、The Human Protein Atlas和TCGA-GTEx数据库,分析COAD组织和正常结肠组织中m1A相关基因mRNA和蛋白水平的差异表达。利用ELISA法检测收集于我院初诊的COAD患者和正常人血浆中m1A甲基化水平。结合COAD临床病理特征分析m1A甲基化对COAD的诊断效能。结果m1A编码器和读码器基因的蛋白水平和mRNA水平在COAD组织中的表达显著上调,其中以TRMT6和TRMT10C两个编码器表达升高最为显著。两个编码器基因均可作为COAD诊断,尤其是早期诊断标志物,且其AUC均达到0.9以上。m1A总体甲基化水平在COAD血浆中明显升高,并可作为早期COAD的诊断标志物。结论m1A编码器基因和血浆m1A在COAD中明显升高,有望成为一种新的早期COAD诊断标志物。展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11801485)
文摘In this paper, we consider point spectra of the operator corresponding to the M/M/1 queueing model with working vacation and vacation interruption. We prove that the underlying operator has uncountable eigenvalues on the left real line and these results describe the point spectra of the operator. Then, we show that the essential growth bound of the C_0-semigroup generated by the operator is 0 and therefore it is not quasi compact, the essential spectral bound of the C_0-semigroup is equal to 1. Moreover, our results imply it is impossible that the time-dependent solution of the model exponentially converges to its steady-state solution.
文摘We consider a variant of M/M/1 where customers arrive singly or in pairs. Each single and one member of each pair is called primary;the other member of each pair is called secondary. Each primary joins the queue upon arrival. Each secondary is delayed in a separate area, and joins the queue when “pushed” by the next arriving primary. Thus each secondary joins the queue followed immediately by the next primary. This arrival/delay mechanism appears to be new in queueing theory. Our goal is to obtain the steady-state probability density function (pdf) of the workload, and related quantities of interest. We utilize a typical sample path of the workload process as a physical guide, and simple level crossing theorems, to derive model equations for the steady-state pdf. A potential application is to the processing of electronic signals with error free components and components that require later confirmation before joining the queue. The confirmation is the arrival of the next signal.
文摘目的探讨m1A RNA甲基化相关基因和血浆m1A甲基化水平对结肠腺癌(colorectal adenocarcinoma,COAD)的诊断效能,为COAD早期诊断提供新的方案。方法通过UALCAN、The Human Protein Atlas和TCGA-GTEx数据库,分析COAD组织和正常结肠组织中m1A相关基因mRNA和蛋白水平的差异表达。利用ELISA法检测收集于我院初诊的COAD患者和正常人血浆中m1A甲基化水平。结合COAD临床病理特征分析m1A甲基化对COAD的诊断效能。结果m1A编码器和读码器基因的蛋白水平和mRNA水平在COAD组织中的表达显著上调,其中以TRMT6和TRMT10C两个编码器表达升高最为显著。两个编码器基因均可作为COAD诊断,尤其是早期诊断标志物,且其AUC均达到0.9以上。m1A总体甲基化水平在COAD血浆中明显升高,并可作为早期COAD的诊断标志物。结论m1A编码器基因和血浆m1A在COAD中明显升高,有望成为一种新的早期COAD诊断标志物。
