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A Markovian queue with two heterogeneous servers and multiple vacations
M/M/3/3 and M/M/4/4 retrial queues
1.  Graduate School of Informatics, Kyoto University, YoshidaHonmachi, Sakyoku, Kyoto 6068501, Japan, Japan, Japan 
2.  Dept. of Systems Science, Graduate School of Informatics, Kyoto University, Kyoto 6068501 
[1] 
Tuan PhungDuc, Ken'ichi Kawanishi. Multiserver retrial queue with setup time and its application to data centers. Journal of Industrial & Management Optimization, 2019, 15 (1) : 1535. doi: 10.3934/jimo.2018030 
[2] 
Laura Luzzi, Stefano Marmi. On the entropy of Japanese continued fractions. Discrete & Continuous Dynamical Systems  A, 2008, 20 (3) : 673711. doi: 10.3934/dcds.2008.20.673 
[3] 
Pierre Arnoux, Thomas A. Schmidt. Commensurable continued fractions. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 43894418. doi: 10.3934/dcds.2014.34.4389 
[4] 
Tuan PhungDuc, Ken’ichi Kawanishi. Multiserver retrial queues with aftercall work. Numerical Algebra, Control & Optimization, 2011, 1 (4) : 639656. doi: 10.3934/naco.2011.1.639 
[5] 
Claudio Bonanno, Carlo Carminati, Stefano Isola, Giulio Tiozzo. Dynamics of continued fractions and kneading sequences of unimodal maps. Discrete & Continuous Dynamical Systems  A, 2013, 33 (4) : 13131332. doi: 10.3934/dcds.2013.33.1313 
[6] 
Élise Janvresse, Benoît Rittaud, Thierry de la Rue. Dynamics of $\lambda$continued fractions and $\beta$shifts. Discrete & Continuous Dynamical Systems  A, 2013, 33 (4) : 14771498. doi: 10.3934/dcds.2013.33.1477 
[7] 
Bara Kim, Jeongsim Kim. Explicit solution for the stationary distribution of a discretetime finite buffer queue. Journal of Industrial & Management Optimization, 2016, 12 (3) : 11211133. doi: 10.3934/jimo.2016.12.1121 
[8] 
Lulu Fang, Min Wu. Hausdorff dimension of certain sets arising in Engel continued fractions. Discrete & Continuous Dynamical Systems  A, 2018, 38 (5) : 23752393. doi: 10.3934/dcds.2018098 
[9] 
Marc Kessböhmer, Bernd O. Stratmann. On the asymptotic behaviour of the Lebesgue measure of sumlevel sets for continued fractions. Discrete & Continuous Dynamical Systems  A, 2012, 32 (7) : 24372451. doi: 10.3934/dcds.2012.32.2437 
[10] 
Doug Hensley. Continued fractions, Cantor sets, Hausdorff dimension, and transfer operators and their analytic extension. Discrete & Continuous Dynamical Systems  A, 2012, 32 (7) : 24172436. doi: 10.3934/dcds.2012.32.2417 
[11] 
Feng Zhang, Jinting Wang, Bin Liu. On the optimal and equilibrium retrial rates in an unreliable retrial queue with vacations. Journal of Industrial & Management Optimization, 2012, 8 (4) : 861875. doi: 10.3934/jimo.2012.8.861 
[12] 
Alain Haraux. On the fast solution of evolution equations with a rapidly decaying source term. Mathematical Control & Related Fields, 2011, 1 (1) : 120. doi: 10.3934/mcrf.2011.1.1 
[13] 
Hua Zhong, Chunlai Mu, Ke Lin. Global weak solution and boundedness in a threedimensional competing chemotaxis. Discrete & Continuous Dynamical Systems  A, 2018, 38 (8) : 38753898. doi: 10.3934/dcds.2018168 
[14] 
Richard D. Neidinger. Efficient recurrence relations for univariate and multivariate Taylor series coefficients. Conference Publications, 2013, 2013 (special) : 587596. doi: 10.3934/proc.2013.2013.587 
[15] 
Heiko Enderling, Alexander R.A. Anderson, Mark A.J. Chaplain, Glenn W.A. Rowe. Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. Mathematical Biosciences & Engineering, 2006, 3 (4) : 571582. doi: 10.3934/mbe.2006.3.571 
[16] 
Taebeom Kim, Sunčica Čanić, Giovanna Guidoboni. Existence and uniqueness of a solution to a threedimensional axially symmetric Biot problem arising in modeling blood flow. Communications on Pure & Applied Analysis, 2010, 9 (4) : 839865. doi: 10.3934/cpaa.2010.9.839 
[17] 
Biswajit Basu. On an exact solution of a nonlinear threedimensional model in ocean flows with equatorial undercurrent and linear variation in density. Discrete & Continuous Dynamical Systems  A, 2019, 39 (8) : 47834796. doi: 10.3934/dcds.2019195 
[18] 
YiChiuan Chen. Bernoulli shift for second order recurrence relations near the antiintegrable limit. Discrete & Continuous Dynamical Systems  B, 2005, 5 (3) : 587598. doi: 10.3934/dcdsb.2005.5.587 
[19] 
Marko Nedeljkov, Sanja Ružičić. On the uniqueness of solution to generalized Chaplygin gas. Discrete & Continuous Dynamical Systems  A, 2017, 37 (8) : 44394460. doi: 10.3934/dcds.2017190 
[20] 
Út V. Lê. Regularity of the solution of a nonlinear wave equation. Communications on Pure & Applied Analysis, 2010, 9 (4) : 10991115. doi: 10.3934/cpaa.2010.9.1099 
2018 Impact Factor: 1.025
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