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
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
We describe the point spectrum of the operator which corresponds to the M/M/1 queueing model with vacations and multiple phases of operation.Then by using this result we prove that the essential growth bound of the C0...We describe the point spectrum of the operator which corresponds to the M/M/1 queueing model with vacations and multiple phases of operation.Then by using this result we prove that the essential growth bound of the C0-semigroup generated by the operator is 0,the C0-semigroup is not compact,not eventually compact,even not quasi-compact.Moreover,we verify that it is impossible that the time-dependent solution of the M/M/1 queueing model with vacations and multiple phases of operation exponentially converges to its steady-state solution.In addition,we obtain the spectral radius and essential spectral radius of the C0-semigroup.Lastly,we discuss other spectrum of the operator and obtain a set which belongs to the union of its continuous spectrum and residual spectrum.展开更多
By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its s...By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-state queueing size at the departure point.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。
基金the National Natural Science Foundation of China (Grant No. 11961062)。
文摘We describe the point spectrum of the operator which corresponds to the M/M/1 queueing model with vacations and multiple phases of operation.Then by using this result we prove that the essential growth bound of the C0-semigroup generated by the operator is 0,the C0-semigroup is not compact,not eventually compact,even not quasi-compact.Moreover,we verify that it is impossible that the time-dependent solution of the M/M/1 queueing model with vacations and multiple phases of operation exponentially converges to its steady-state solution.In addition,we obtain the spectral radius and essential spectral radius of the C0-semigroup.Lastly,we discuss other spectrum of the operator and obtain a set which belongs to the union of its continuous spectrum and residual spectrum.
基金supported by the National Natural Science Foundation of China(11371303)Natural Science Foundation of Xinjiang(2012211A023)Science Foundation of Xinjiang University(XY110101)
文摘By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-state queueing size at the departure point.
