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SINGLE SERVER QUEUES WITH A BATCH MARKOVIAN ARRIVAL PROCESS AND BULK RENEWAL OR NON-RENEWAL SERVICE

Journal of Systems Science and Systems Engineering 2015年第3期24卷 337-363页

作者： A.D.Banik School of Basic Sciences Indian Institute of Technology

We first consider an infinite-buffer single server queue where arrivals occur according to a batch Markovian arrival process （BMAP）. The server serves customers in batches of maximum size ＇b＇ with a minimum threshold size ＇a＇. The service time of each batch follows general distribution independent of each other as well as the arrival process. The proposed analysis is based on the use of matrix-analytic procedure to obtain queue-length distribution at a post-departure epoch. Next we obtain queue-length distributions at various other epochs such as, pre-arrival, arbitrary and pre-service using relations with post-departure epoch. Later we also obtain the system-length distributions at post-departure and arbitrary epochs using queue-length distribution at post-departure epoch. Some important performance measures, like mean queue-lengths and mean waiting times have been obtained Total expected cost function per trait time is also derived to determine the locally optimal values of a and b. Secondly, we perform similar analysis for the corresponding infinite-buffer single server queue where arrivals occur according to a BMAP and service process in this case follows a non-renewal one, namely, Markovian service process （msP）.

关键词： Bulk service (a b)-rule system-length distribution infinite-buffer queue batch Markovian arrival process Markovian service process matrix-analytic procedure cost control cloud computing

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Excited state mass spectra, decay properties and Regge trajectories of charm and charm-strange mesons

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Chinese Physics C 2017年第7期41卷 14-24页

作者： Virendrasinh Kher Nayneshkumar Devlani Ajay Kumar Rai Applied Physics Department Polytechnic The M.S. University of Baroda Vadodara 390002 Gujarat India Department of Applied Physics Sardar Vallabhbhai National Institute of Technology Surat 395007 Gujarat India

The framework of a phenomenological quark-antiquark potential（Coulomb plus linear confinement）model with a Gaussian wave function is used for detailed study of masses of the ground, orbitally and radially excited states of heavy-light Qq^-,（Q=c,q=u/d,s） mesons. We incorporate a O（1/m） correction to the potential energy term and relativistic corrections to the kinetic energy term of the Hamiltonian. The spin-hyperfine, spin-orbit and tensor interactions incorporating the effect of mixing are employed to obtain the pseudoscalar, vector, radially and orbitally excited state meson masses. The Regge trajectories in the（J,M^2） and（nr,M^2） planes for heavy-light mesons are investigated with their corresponding parameters. Leptonic and radiative leptonic decay widths and corresponding branching ratios are computed. The mixing parameters are also estimated. Our predictions are in good agreement with experimental results as well as lattice and other theoretical models.

关键词： charm meson strange meson potential model

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