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The roles of coupling and the deviation matrix in determining the value of capacity in M/M/1/C queues

Peter Braunsteins, Sophie Hautphenne, Peter G. Taylor
2016 Queueing systems  
In an M/M/1/C queue, customers are lost when they arrive to find C customers already present.  ...  of a transient analogue of the deviation matrix, discussed by Coolen-Schrijner and van Doorn in [6], and a third involves an elegant coupling argument.  ...  Acknowledgements The authors would like to acknowledge the support of the Australian Research Council (ARC) through Laureate Fellowship FL130100039 and the ARC Centre of Excellence for the Mathematical  ... 
doi:10.1007/s11134-016-9480-3 fatcat:zr7x3zxnqbbtbipsfxz2n756fa

Stability of queueing networks

Maury Bramson
2008 Probability Surveys  
, and Ruth Williams.  ...  He also thanks John Baxter for his technical help in preparing the manuscript. The author thanks the National Science Foundation for its continued support.  ...  The elapsed time S K − S K−1 ≈ c K−1 M . On account of (3.11), c K is small, and so there are about K−1 ℓ=0 c ℓ MM/(1c) (3.18) jobs in the system. Likewise, S K ≈ cM/(1 − c).  ... 
doi:10.1214/08-ps137 fatcat:2lhshulqtvemzoaca6nywqfr6u

Pedestrian Evacuation Time Model for Urban Metro Hubs Based on Multiple Video Sequences Data

Ji-biao Zhou, Hong Chen, Jing Yang, Jiao Yan
2014 Mathematical Problems in Engineering  
Finally, we take the Bei Da-jie metro hub in Xi'an as an example, and verify the feasibility of the proposed pedestrian evacuation time model.  ...  In this paper, we propose a pedestrian evacuation time model for UMHs to improve the accuracy and reliability of its evacuation time.  ...  Xiao-wei LI, and M.E. Yu-ting HE. The authors also wish to express their gratitude to the anonymous reviewers for their insightful comments and suggestions to an earlier version of the paper.  ... 
doi:10.1155/2014/843096 fatcat:7qjv2umdsjcw7ntrmfvotrqkbm

Learning Capacity in Simulated Virtual Neurological Procedures

Mattia Samuel Mancosu, Silvester Czanner, Martin Punter
2020 Journal of WSCG  
ACKNOWLEDGMENTS The authors acknowledge the support of the NSERC/Creaform Industrial Research Chair on 3-D Scanning for conducting the work presented in this paper.  ...  This work was partially supported by a grant of Ministry of Research and Innovation, CNCS -UEFISCDI, project number PN-III-P4-ID-PCE-2016-0842, within PNCDI III.  ...  There are three options: • over j first: ∑ j∈Γ i c i, j,m f d j has shape (N, M, D) • over m first: ∑ M m=1 c i, j,m w d,e m has shape (N, K, D, E) • over d first: ∑ D d=1 w d,e m f d j has shape (N, K  ... 
doi:10.24132/csrn.2020.3001.13 fatcat:uytlm7nytrhmnk553ellfhl54a


H. Bachev
2018 Vìsnik. Kiïvsʹkogo Nacìonalʹnogo Unìversitetu ìmenì Tarasa Ševčenka. Ekonomìka  
Bertrand Lemennicier, whose contribution in stimulating suggestions and encouragement, helped me in writing this paper.  ...  The participation to the I.CO.D.ECON conference was financially supported by the University of Peloponnese.  ...  Simplifying equation (2) we get Ep i (g(M )) = m-1 c k p k (1-p) m-k A k k=1 m 2 -1 å + 1 m-1 m-1 c m 2 p m 2 (1-p) m 2 A+ l k m k m m m k p p A p p A p p k m                 ) 0 ( )  ... 
doi:10.17721/1728-2667.2018/198-3/1 fatcat:72dccyppxbgsjgmq6u6t62vt7q

Regulation and Management of Innovative Technologies

Siddharth Singh
capacity shortage.  ...  safeguarding the interests of utility companies, solar system installers, and customers.We formulate and analyze a social welfare maximization problem for the regulator, focusing on how the choice of  ...  Let π 0 i and π 1 i denote the probabilities of L being in state i in Periods 0 and 1, respectively. L is an M/M/1 queue in Period 0 and an M/M/1/C 1 queue in Period 1.  ... 
doi:10.1184/r1/9589412.v1 fatcat:wwk36aewojedbo7xrunhrwhbgq

Modeling and Analysis of Heterogeneous and Cognitive Cellular Networks

Yamuna Dhungana
This thesis addresses the coexistence and interference management challenges in HetNets and cognitive radio networks while exploring the capacity and reliability improvement opportunities.  ...  Due to the increasing irregularity in the spatial deployment of the network nodes in HetNets and cognitive radio networks, the stochastic geometry based modeling and analysis is adopted.  ...  u, and W bm = [w bm,i ] 1≤i≤(M m +1) ∈ C Km×(M m +1) is the corresponding precoding matrix.  ... 
doi:10.7939/r3f18sp2q fatcat:dtv6snvdlbdb5kp55i5cranseu

Automated Experiments for Deriving Performance-relevant Properties of Software Execution Environments

Michael Hauck
In software engineering, considering quality attributes such as software performance plays a crucial role.  ...  From the research group of SDQ and FZI, I want to thank my current and former colleagues I had the pleasure to work with. In alphabetical order:  ...  For a set of M regions, the corresponding regression model is f (x) = Mm=1 c m I(x ∈ R m ) (6.2) where c m is the mean of the output parameter in region R m and I the identity matrix ( [HTF09] ).  ... 
doi:10.5445/ksp/1000037233 fatcat:s6uuncx4pffg7j3azl7mpkjlje