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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 8 (1991), S. 323-356 
    ISSN: 1572-9443
    Keywords: Infinite server ; batch arrival ; Markov renewal input ; customer dependence ; analytical result
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract An important property of most infinite server systems is that customers are independent of each other once they enter the system. Though this non-interacting property (NIP) has been instrumental in facilitating excellent results for infinite server systems in the past, the utility of this property has not been fully exploited or even fully recognized. This paper exploits theNIP by investigating a general infinite server system with batch arrivals following a Markov renewal input process. The batch sizes and service times depend on the customer types which are regulated by the Markov renewal process. By conditional approaches, analytical results are obtained for the generating functions and binomial moments of both the continuous time system size and pre-arrival system size. These results extend the previous results on infinite server queues significantly.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 22 (1996), S. 129-144 
    ISSN: 1572-9443
    Keywords: Infinite server ; batch arrival ; batch service ; analytical results
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Service systems with queueing often have both batch arrivals and batch services. This paper focuses on the number of busy servers and waiting customers in theGI X/MR/∞ system. For the number of busy servers, we obtain a recursive relation for the partial binomial moments in terms of matrices and explicit expressions for the marginal binomial moments. Special cases are also discussed to provide a more heuristic understanding of the model.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 2 (1987), S. 363-372 
    ISSN: 1572-9443
    Keywords: Infinite server ; impatient customers
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract An infinite server queue is considered where customers have a choice of individual service or batch service. Transient results have been obtained for the first two moments of the system size distribution. Waiting time distribution is important in system evaluation and steady state results are obtained.
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  • 4
    ISSN: 0749-1581
    Keywords: 1H NOESY ; 183W NMR ; x-ray diffraction ; Pyrazolylborate ; π-Allyl complexes ; Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 2D1H NOESY and inverse detected 183W NMR measurements for the pseudo-octahedral η3-allyl complexes W(CO)2(Tp′)(η3-CH2CHCDPh) (1) and W(CO)2(Tp′)(η3-CH2CHCHCH3) (2), where Tp′ = hydridotris(3,5-dimethylpyrazolyl)borate are reported. The observed solution structure for 1 differs from that found in the solid-state via x-ray diffraction (isomers can arise due to allyl rotation and/or coordination of either allyl face). Crystal data for 1: WC26H31BN6O3, space group P21/c, a = 9.775(1) Å, b = 17.360(2) Å, c = 16.144(5) Å, β = 102.26(2)°, V = 2677(1) Å3, Z = 4.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 0749-1581
    Keywords: Tungsten(II) hydrido-pyrazolylborate complexes ; 183W-1H long-range shift correlation ; 1H NOESY ; Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 183W NMR spectra for several tungsten carbonyl complexes were recorded using heteronuclear multiple-quantum spectroscopy. The measurements involved the use of both one-bond and long-range coupling constants, with the latter technique demonstrating a general approach to obtaining 183W spectra in Tp′ [Tp′ = tris(3,5-dimethylpyrazolyl)borohydride] and Cp tungsten compounds. Differences in the 183W chemical shifts between the Tp′ and Cp complexes are explained in terms of σ-donor and π-acceptor capabilities of the ligands. It is suggested that the very small 1J(183W,1H) value of 7 Hz in WH(Tp′)(CO)3 arises from an interaction of an H+ with a [W(Tp′)(CO)3]- orbital with a relatively large d-component. For WH(Tp′)(CO)(PHC≡CMe) (3), the very lowfield hydride chemical shift, δ = 10.8, is suggested to arise, in part, from anisotropic effects. 1H NOESY measurements on 3 show that the hydride lies in a deshielding region with respect to both the acetylene and two pyrazolylborate rings, the acetylene is bent such that the CH3 and Ph groups move toward one another and there is a second isomer of 3, presumably related to the geometry of the coordinated acetylene with respect to the W—C≡O bond.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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