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
探讨基于4M1E管理法(人、机、料、法、环)的干预措施对检验科采血窗口服务质量的影响,建立“技术-服务”协同优化的实证模型。方法:采用回顾性研究,通过RCA(根本原因分析,Root Cause Analysis)思维框架分析2018年-2024年采血窗口的投诉...探讨基于4M1E管理法(人、机、料、法、环)的干预措施对检验科采血窗口服务质量的影响,建立“技术-服务”协同优化的实证模型。方法:采用回顾性研究,通过RCA(根本原因分析,Root Cause Analysis)思维框架分析2018年-2024年采血窗口的投诉案例(n=11),从4M1E五个维度进行分段式改进。采用满意度(年均≥500例)和年投诉总数评估最终效果。结果:患者满意度稳定在96.96%~98.45%;投诉量从5例(2018年)降至0例(2022年-2023年),2024年因流程漏洞回升至3例。结论:4M1E法能系统性提升采血窗口服务质量,但还需要持续优化工作流程与智能化建设,加强医患沟通效率。本研究为检验科质量前管理提供了“技术规范+人文服务”的双轨优化模范。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.
文摘探讨基于4M1E管理法(人、机、料、法、环)的干预措施对检验科采血窗口服务质量的影响,建立“技术-服务”协同优化的实证模型。方法:采用回顾性研究,通过RCA(根本原因分析,Root Cause Analysis)思维框架分析2018年-2024年采血窗口的投诉案例(n=11),从4M1E五个维度进行分段式改进。采用满意度(年均≥500例)和年投诉总数评估最终效果。结果:患者满意度稳定在96.96%~98.45%;投诉量从5例(2018年)降至0例(2022年-2023年),2024年因流程漏洞回升至3例。结论:4M1E法能系统性提升采血窗口服务质量,但还需要持续优化工作流程与智能化建设,加强医患沟通效率。本研究为检验科质量前管理提供了“技术规范+人文服务”的双轨优化模范。
