This paper presents an algorthmic procedure for a busy-period subcomponent analysis of bulkqueues. A component of interest for many server queues is the period tto reduce congestion froma level k to level k-1. For an ...This paper presents an algorthmic procedure for a busy-period subcomponent analysis of bulkqueues. A component of interest for many server queues is the period tto reduce congestion froma level k to level k-1. For an M(x)/M/c system with the possibility of total or partial rejection ofbatches, it is demonstrated that the expected length of busy periods, the proportion of delayed batchand the steady state queue length probabilities can be easily obtained. The procedure is based on thenested partial sums and monotonic properties of expected lengths of the busy periods.展开更多
Herein we report a covalent cage TPE-Zn_(4)based on a tetraphenylethylene molecule via subcomponent self-assembly,which is templated by zinc ions.TPE-Zn_(4)features a quadrangular prismatic cage structure,which is cha...Herein we report a covalent cage TPE-Zn_(4)based on a tetraphenylethylene molecule via subcomponent self-assembly,which is templated by zinc ions.TPE-Zn_(4)features a quadrangular prismatic cage structure,which is characterized by NMR,mass spectrum,and single-crystal X-ray diffractions.TPE-Zn_(4)emitted orange fluorescence(λ_(em)=620 nm)in DMSO solution under the irradiation of UV light(λ_(ex)=395 nm)and can be applied as a fluorescence sensor for selectively detecting Pd^(2+).The fluorescence of TPE-Zn_(4)was quenched by Pd^(2+)in DMSO solution,and a very low detection limit of 62.3 n M was achieved.Mechanism studies reveal that the Pd^(2+)can replace the Zn^(2+),and the heavy atom effect and chelation-enhanced quenching effect between the Pd^(2+)and the cage probably cause the fluorescence quenching.展开更多
文摘This paper presents an algorthmic procedure for a busy-period subcomponent analysis of bulkqueues. A component of interest for many server queues is the period tto reduce congestion froma level k to level k-1. For an M(x)/M/c system with the possibility of total or partial rejection ofbatches, it is demonstrated that the expected length of busy periods, the proportion of delayed batchand the steady state queue length probabilities can be easily obtained. The procedure is based on thenested partial sums and monotonic properties of expected lengths of the busy periods.
基金supported by the National Natural Science Foundation of China(Nos.21731002,21871172 and 22171106)the Guangdong Major Project of Basic and Applied Research(No.2019B030302009)+4 种基金the Fundamental Research Funds for the Central Universities(No.21622103)Guangdong Natural Science Foundation(No.2022A1515011937)Guangzhou Science and Technology Program(No.202002030411)the China Postdoctoral Science Foundation(No.2022M711327)Jinan University。
文摘Herein we report a covalent cage TPE-Zn_(4)based on a tetraphenylethylene molecule via subcomponent self-assembly,which is templated by zinc ions.TPE-Zn_(4)features a quadrangular prismatic cage structure,which is characterized by NMR,mass spectrum,and single-crystal X-ray diffractions.TPE-Zn_(4)emitted orange fluorescence(λ_(em)=620 nm)in DMSO solution under the irradiation of UV light(λ_(ex)=395 nm)and can be applied as a fluorescence sensor for selectively detecting Pd^(2+).The fluorescence of TPE-Zn_(4)was quenched by Pd^(2+)in DMSO solution,and a very low detection limit of 62.3 n M was achieved.Mechanism studies reveal that the Pd^(2+)can replace the Zn^(2+),and the heavy atom effect and chelation-enhanced quenching effect between the Pd^(2+)and the cage probably cause the fluorescence quenching.
