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Proposal of Approximation Analysis Method for GI/G/1 Queueing System
Fangfang Kong,Ippei Nakase,Ikuo Arizono,Yasuhiko Takemoto 대한산업공학회 2008 Industrial Engineeering & Management Systems Vol.7 No.2
There have been some approximation analysis methods for a GI/G/1 queueing system. As one of them, an approximation technique for the steady-state probability in the GI/G/1 queueing system based on the iteration numerical calculation has been proposed. As another one, an approximation formula of the average queue length in the GI/G/1 queueing system by using the diffusion approximation or the heuristics extended diffusion approximation has been developed. In this article, an approximation technique in order to analyze the GI/G/1 queueing system is considered and then the formulae of both the steady-state probability and the average queue length in the GI/G/1 queueing system are proposed. Through some numerical examples by the proposed technique, the existing approximation methods, and the Monte Carlo simulation, the effectiveness of the proposed approximation technique is verified.
Proposal of Approximation Analysis Method for GI/G/1 Queueing System
Kong, Fangfang,Nakase, Ippei,Arizono, Ikuo,Takemoto, Yasuhiko Korean Institute of Industrial Engineers 2008 Industrial Engineeering & Management Systems Vol.7 No.2
There have been some approximation analysis methods for a GI/G/1 queueing system. As one of them, an approximation technique for the steady-state probability in the GI/G/1 queueing system based on the iteration numerical calculation has been proposed. As another one, an approximation formula of the average queue length in the GI/G/1 queueing system by using the diffusion approximation or the heuristics extended diffusion approximation has been developed. In this article, an approximation technique in order to analyze the GI/G/1 queueing system is considered and then the formulae of both the steady-state probability and the average queue length in the GI/G/1 queueing system are proposed. Through some numerical examples by the proposed technique, the existing approximation methods, and the Monte Carlo simulation, the effectiveness of the proposed approximation technique is verified.
Kong, Lingqian,Zhang, Daopeng,Su, Fangfang,Li, Dacheng,Dou, Jianmin Korean Chemical Society 2011 Bulletin of the Korean Chemical Society Vol.32 No.7
Two new carborane complexes containing closo- or nido-carborane diphosphine ligands with the formula: complex $[Hg(7,8-(PPh_2)_2-7,8-C_2B_9H_{10})_2]$ $CH_2Cl_2$ (1) and $[Ag_2({\mu}-Cl)_2(1,2-(P^iPr_2)_2-1,2-C_2B_{10}H_{10})_2]$ (2) have been synthesized and characterized by elemental analysis, 1H and 13C NMR spectroscopy and X-ray structure determination. The X-ray structure analyses revealed that the carborane diphosphine ligand was degraded from closo-1,2-$(PPh_2)_2-1,2-C_2B_{10}H_{10}$ to nido-[$7,8-(PPh_2)_2-7,8-C_2B_9H_{10}]^-$ in complex 1, while the closo nature of the starting ligand $1,2-(P^iPr_2)_2-1,2-C_2B_{10}H_{10}$ was retained in complex 2. In either of the two complexes, the carborane diphosphine ligand was coordinated bidentately to the Hg(II) or Ag(I) center through its two phosphorus atoms, therefore forming a five-member cheating ring between the carborane ligand and the metal center. The coordination geometry of the metal atom is distorted tetrahedron formed by $P_4$ unit in complex 1 and $P_2Cl_2$ unit in complex 2, respectively.
Lingqian Kong,Daopeng Zhang,Jianmin Dou,Fangfang Su,Dacheng Li 대한화학회 2011 Bulletin of the Korean Chemical Society Vol.32 No.7
Two new carborane complexes containing closo- or nido- carborane diphosphine ligands with the formula:complex [Hg(7,8-(PPh_2)_2-7,8-C_2B_9H_10)_2] CH_2C_l2 (1) and [Ag_2(μ-Cl)_2(1,2-(P^iPr_2)_2-1,2-C_2B_10H_10)_2] (2) have been synthesized and characterized by elemental analysis, ^1H and ^13C NMR spectroscopy and X-ray structure determination. The X-ray structure analyses revealed that the carborane diphosphine ligand was degraded from closo-1,2-(PPh_2)_2-1,2-C_2B_10H_10 to nido-[7,8-(PPh_2)_2-7,8-C_2B_9H_10]− in complex 1, while the closo nature of the starting ligand 1,2-(P^iPr_2)_2-1,2-C_2B_10H_10 was retained in complex 2. In either of the two complexes, the carborane diphosphine ligand was coordinated bidentately to the Hg(II) or Ag(I) center through its two phosphorus atoms, therefore forming a five-member cheating ring between the carborane ligand and the metal center. The coordination geometry of the metal atom is distorted tetrahedron formed by P_4 unit in complex 1and P_2C_l2 unit in complex 2, respectively.
Hongfei Zhu,Congcong Liu,Haijun Song,Jingkun Xu,Fangfang Kong,Jianmin Wang 대한금속·재료학회 2014 ELECTRONIC MATERIALS LETTERS Vol.10 No.2
Poly(3-hexylthiophene) (P3HT) films doped with iodine vapor have been prepared by casting a P3HT solution on glass substrates and their thermoelectric (TE) performances has been investigated. The maximum Seebeck coefficient and electrical conductivity of iodine-doped P3HT films were 386 μV·K−1 (at room temperature) and 4.7 × 10−1 S·cm−1, which is about five orders of magnitude higher than that of pristine P3HT films. The power factor of these iodine-doped P3HT films was estimated to be 7.0 μW·m−1·K−2 at room temperature, which is a relative high value for organic TE materials. The UV-vis spectra of iodine-doped P3HT films showed a slight red shift of the iodine-doped P3HT compared to those of pristine P3HT films. Atomic force microscopy images indicated the conformational changes in P3HT chains after treatment with iodine vapor. During this treatment, the P3HT chains self-organized into a more ordered structure, this organization improved the charge carrier transport capability and the TE performance of P3HT the films.