Bashtova, E. E.; Lenena, E. O. Jackson network in a random environment: strong approximation. (English) Zbl 1454.60139 Dal’nevost. Mat. Zh. 20, No. 2, 144-149 (2020). MSC: 60K20 60K37 PDF BibTeX XML Cite \textit{E. E. Bashtova} and \textit{E. O. Lenena}, Dal'nevost. Mat. Zh. 20, No. 2, 144--149 (2020; Zbl 1454.60139) Full Text: DOI MNR
Whitt, Ward; You, Wei Heavy-traffic limits for stationary network flows. (English) Zbl 07271265 Queueing Syst. 95, No. 1-2, 53-68 (2020). MSC: 60K25 60F17 90B22 PDF BibTeX XML Cite \textit{W. Whitt} and \textit{W. You}, Queueing Syst. 95, No. 1--2, 53--68 (2020; Zbl 07271265) Full Text: DOI
Adan, Ivo; Foss, Sergey; Shneer, Seva; Weiss, Gideon Local stability in a transient Markov chain. (English) Zbl 1450.60035 Stat. Probab. Lett. 165, Article ID 108855, 5 p. (2020). MSC: 60J10 60K20 PDF BibTeX XML Cite \textit{I. Adan} et al., Stat. Probab. Lett. 165, Article ID 108855, 5 p. (2020; Zbl 1450.60035) Full Text: DOI
Puhalskii, A. A. The geometry of big queues. (English. Russian original) Zbl 07213972 Probl. Inf. Transm. 55, No. 2, 174-200 (2019); translation from Probl. Peredachi Inf. 55, No. 2, 82-111 (2019). MSC: 60K25 60F10 PDF BibTeX XML Cite \textit{A. A. Puhalskii}, Probl. Inf. Transm. 55, No. 2, 174--200 (2019; Zbl 07213972); translation from Probl. Peredachi Inf. 55, No. 2, 82--111 (2019) Full Text: DOI
Hafiene, Yosra; Fadili, Jalal M.; Elmoataz, Abderrahim Continuum limits of nonlocal \(p\)-Laplacian variational problems on graphs. (English) Zbl 1447.65056 SIAM J. Imaging Sci. 12, No. 4, 1772-1807 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M12 65M15 41A17 05C80 05C90 49M25 65K15 35A15 35Q35 35K20 35R02 35R09 PDF BibTeX XML Cite \textit{Y. Hafiene} et al., SIAM J. Imaging Sci. 12, No. 4, 1772--1807 (2019; Zbl 1447.65056) Full Text: DOI
Blanchet, Jose; Chen, Xinyun Perfect sampling of generalized Jackson networks. (English) Zbl 07179979 Math. Oper. Res. 44, No. 2, 693-714 (2019). MSC: 65C05 60K25 PDF BibTeX XML Cite \textit{J. Blanchet} and \textit{X. Chen}, Math. Oper. Res. 44, No. 2, 693--714 (2019; Zbl 07179979) Full Text: DOI
Whitt, Ward; You, Wei The advantage of indices of dispersion in queueing approximations. (English) Zbl 07165759 Oper. Res. Lett. 47, No. 2, 99-104 (2019). MSC: 90 PDF BibTeX XML Cite \textit{W. Whitt} and \textit{W. You}, Oper. Res. Lett. 47, No. 2, 99--104 (2019; Zbl 07165759) Full Text: DOI
Puhalskii, Anatolii Large deviations of the long term distribution of a non Markov process. (English) Zbl 1441.60025 Electron. Commun. Probab. 24, Paper No. 35, 11 p. (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F10 60K25 PDF BibTeX XML Cite \textit{A. Puhalskii}, Electron. Commun. Probab. 24, Paper No. 35, 11 p. (2019; Zbl 1441.60025) Full Text: DOI Euclid
Tsitsiashvili, G. Sh. Solution of balance equations and investigation of Poisson flows in Jackson networks. (Russian. English summary) Zbl 1422.90064 Dal’nevost. Mat. Zh. 18, No. 1, 117-122 (2018). MSC: 90C35 PDF BibTeX XML Cite \textit{G. Sh. Tsitsiashvili}, Dal'nevost. Mat. Zh. 18, No. 1, 117--122 (2018; Zbl 1422.90064) Full Text: MNR
Tsitsiashvili, Gurami Algorithm of balance equations decomposition and investigation of Poisson flows in Jackson networks. (English) Zbl 1397.90388 Dudin, Alexander (ed.) et al., Information technologies and mathematical modelling. Queueing theory and applications. 16th international conference, ITMM 2017, named after A. F. Terpugov, Kazan, Russia, September 29 – October 3, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-68068-2/pbk; 978-3-319-68069-9/ebook). Communications in Computer and Information Science 800, 336-346 (2017). MSC: 90C35 90B10 PDF BibTeX XML Cite \textit{G. Tsitsiashvili}, Commun. Comput. Inf. Sci. 800, 336--346 (2017; Zbl 1397.90388) Full Text: DOI
Sommer, Jennifer; Berkhout, Joost; Daduna, Hans; Heidergott, Bernd Analysis of Jackson networks with infinite supply and unreliable nodes. (English) Zbl 1396.90011 Queueing Syst. 87, No. 1-2, 181-207 (2017). MSC: 90B10 90B30 90B35 90B22 PDF BibTeX XML Cite \textit{J. Sommer} et al., Queueing Syst. 87, No. 1--2, 181--207 (2017; Zbl 1396.90011) Full Text: DOI
Fricker, Christine; Tibi, Danielle Equivalence of ensembles for large vehicle-sharing models. (English) Zbl 1370.60166 Ann. Appl. Probab. 27, No. 2, 883-916 (2017). MSC: 60K25 60K35 60F05 90B20 90B22 PDF BibTeX XML Cite \textit{C. Fricker} and \textit{D. Tibi}, Ann. Appl. Probab. 27, No. 2, 883--916 (2017; Zbl 1370.60166) Full Text: DOI Euclid arXiv
Braverman, Anton; Dai, J. G.; Miyazawa, Masakiyo Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach. (English) Zbl 1370.60162 Stoch. Syst. 7, No. 1, 143-196 (2017). MSC: 60K25 60J65 90B22 90B15 PDF BibTeX XML Cite \textit{A. Braverman} et al., Stoch. Syst. 7, No. 1, 143--196 (2017; Zbl 1370.60162) Full Text: DOI Euclid arXiv
Singh, Gagandeep; Mougel, Leo; Beauregard, Yvan; Zhao, Yaoyao Fiona Towards optimal engineering multitasking level through stochastic modelling. (English) Zbl 1362.90146 Int. J. Oper. Res. 28, No. 2, 263-278 (2017). MSC: 90B22 PDF BibTeX XML Cite \textit{G. Singh} et al., Int. J. Oper. Res. 28, No. 2, 263--278 (2017; Zbl 1362.90146) Full Text: DOI
Zhen, Mengke; Gao, Hongwei; Liu, Shuqing; Ji, Haiqiang The algorithm and model of pairwise stable networks. (Chinese. English summary) Zbl 1374.91098 Oper. Res. Trans. 20, No. 3, 1-10 (2016). MSC: 91D30 91A40 PDF BibTeX XML Cite \textit{M. Zhen} et al., Oper. Res. Trans. 20, No. 3, 1--10 (2016; Zbl 1374.91098) Full Text: DOI
Rybko, A.; Shlosman, S. Stationary states of the generalized Jackson networks. (English) Zbl 1361.60084 Markov Process. Relat. Fields 22, No. 4, 759-774 (2016). MSC: 60K25 60J10 90B22 PDF BibTeX XML Cite \textit{A. Rybko} and \textit{S. Shlosman}, Markov Process. Relat. Fields 22, No. 4, 759--774 (2016; Zbl 1361.60084)
Lin, Shaobo Linear and nonlinear approximation of spherical radial basis function networks. (English) Zbl 1342.41025 J. Complexity 35, 86-101 (2016). MSC: 41A30 41A17 PDF BibTeX XML Cite \textit{S. Lin}, J. Complexity 35, 86--101 (2016; Zbl 1342.41025) Full Text: DOI
Anastassiou, George A. Intelligent systems II. Complete approximation by neural network operators. (English) Zbl 1325.68008 Studies in Computational Intelligence 608. Cham: Springer (ISBN 978-3-319-20504-5/hbk; 978-3-319-20505-2/ebook). xv, 712 p. (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 68-02 68T05 92B20 41A25 41A60 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Intelligent systems II. Complete approximation by neural network operators. Cham: Springer (2016; Zbl 1325.68008) Full Text: DOI
Anastassiou, George A. Multivariate fuzzy-random error function based neural network approximation. (English) Zbl 1371.41030 J. Fuzzy Math. 23, No. 4, 917-935 (2015). MSC: 41A35 26E50 41A17 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, J. Fuzzy Math. 23, No. 4, 917--935 (2015; Zbl 1371.41030)
Mao, Yong Hua; Xia, Liang Hui Spectral gap for open Jackson networks. (English) Zbl 1336.60178 Acta Math. Sin., Engl. Ser. 31, No. 12, 1879-1894 (2015). MSC: 60K25 60J27 60J28 90B22 90B15 47A75 PDF BibTeX XML Cite \textit{Y. H. Mao} and \textit{L. H. Xia}, Acta Math. Sin., Engl. Ser. 31, No. 12, 1879--1894 (2015; Zbl 1336.60178) Full Text: DOI
Lin, Shaobo; Zeng, Jinshan; Xu, Lin; Xu, Zongben Jackson-type inequalities for spherical neural networks with doubling weights. (English) Zbl 1326.41019 Neural Netw. 63, 57-65 (2015). MSC: 41A17 92B20 PDF BibTeX XML Cite \textit{S. Lin} et al., Neural Netw. 63, 57--65 (2015; Zbl 1326.41019) Full Text: DOI
Miyazawa, Masakiyo A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process. (English) Zbl 1334.60200 Queueing Syst. 81, No. 1, 1-48 (2015). MSC: 60K25 60F10 60J27 60J28 60G50 60K37 90B22 PDF BibTeX XML Cite \textit{M. Miyazawa}, Queueing Syst. 81, No. 1, 1--48 (2015; Zbl 1334.60200) Full Text: DOI arXiv
Anastassiou, George A. Multivariate fuzzy-random perturbed neural network approximation. (English) Zbl 1321.41047 J. Concr. Appl. Math. 13, No. 3-4, 279-300 (2015). MSC: 41A63 26E50 41A17 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, J. Concr. Appl. Math. 13, No. 3--4, 279--300 (2015; Zbl 1321.41047)
Lorek, Paweł; Szekli, Ryszard Computable bounds on the spectral gap for unreliable Jackson networks. (English) Zbl 1329.60319 Adv. Appl. Probab. 47, No. 2, 402-424 (2015). MSC: 60K25 60J25 60J80 PDF BibTeX XML Cite \textit{P. Lorek} and \textit{R. Szekli}, Adv. Appl. Probab. 47, No. 2, 402--424 (2015; Zbl 1329.60319) Full Text: DOI Euclid arXiv
Bušić, Ana; Durand, Stéphane; Gaujal, Bruno; Perronnin, Florence Perfect sampling of Jackson queueing networks. (English) Zbl 1317.60118 Queueing Syst. 80, No. 3, 223-260 (2015). MSC: 60K25 60J10 90B22 90B15 68M20 68U20 65C99 PDF BibTeX XML Cite \textit{A. Bušić} et al., Queueing Syst. 80, No. 3, 223--260 (2015; Zbl 1317.60118) Full Text: DOI
Anastassiou, George A. Approximation by perturbed neural network operators. (English) Zbl 1339.41025 Appl. Math. 42, No. 1, 57-81 (2015). MSC: 41A30 41A17 41A25 92B20 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Appl. Math. 42, No. 1, 57--81 (2015; Zbl 1339.41025) Full Text: DOI
Lin, Shaobo; Rong, Yuanhua; Xu, Zongben Multivariate Jackson-type inequality for a new type neural network approximation. (English) Zbl 1428.68244 Appl. Math. Modelling 38, No. 24, 6031-6037 (2014). MSC: 68T05 41A30 PDF BibTeX XML Cite \textit{S. Lin} et al., Appl. Math. Modelling 38, No. 24, 6031--6037 (2014; Zbl 1428.68244) Full Text: DOI
Anastassiou, George A. Multivariate fuzzy-random quasi-interpolation neural network approximation operators. (English) Zbl 1373.62479 J. Fuzzy Math. 22, No. 1, 167-184 (2014). MSC: 62M86 62M45 41A30 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, J. Fuzzy Math. 22, No. 1, 167--184 (2014; Zbl 1373.62479)
Anselmi, Jonatha; Gaujal, Bruno Efficiency of simulation in monotone hyper-stable queueing networks. (English) Zbl 1307.60123 Queueing Syst. 76, No. 1, 51-72 (2014). MSC: 60K25 60K20 60J10 68M20 90B22 PDF BibTeX XML Cite \textit{J. Anselmi} and \textit{B. Gaujal}, Queueing Syst. 76, No. 1, 51--72 (2014; Zbl 1307.60123) Full Text: DOI
Anastassiou, George A. Multivariate fuzzy-random normalized neural network approximation operators. (English) Zbl 1302.60013 Ann. Fuzzy Math. Inform. 6, No. 1, 191-212 (2013). MSC: 60A86 26E50 41A17 41A63 60H25 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Ann. Fuzzy Math. Inform. 6, No. 1, 191--212 (2013; Zbl 1302.60013) Full Text: Link
Blanchet, Jose Optimal sampling of overflow paths in Jackson networks. (English) Zbl 1291.65010 Math. Oper. Res. 38, No. 4, 698-719 (2013). MSC: 65C05 60K25 60F10 PDF BibTeX XML Cite \textit{J. Blanchet}, Math. Oper. Res. 38, No. 4, 698--719 (2013; Zbl 1291.65010) Full Text: DOI
Anastassiou, George A. Fractional approximation by normalized bell and squashing type neural network operators. (English) Zbl 1281.26002 New Math. Nat. Comput. 9, No. 1, 43-63 (2013). MSC: 26A33 41A25 41A17 92B20 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, New Math. Nat. Comput. 9, No. 1, 43--63 (2013; Zbl 1281.26002) Full Text: DOI
Anastassiou, George A. Rate of convergence of some multivariate neural network operators to the unit, revisited. (English) Zbl 1290.68103 J. Comput. Anal. Appl. 15, No. 7, 1300-1309 (2013). MSC: 68T05 41A17 41A25 41A30 41A36 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, J. Comput. Anal. Appl. 15, No. 7, 1300--1309 (2013; Zbl 1290.68103)
Bai, Xue; Gopal, Ram; Nunez, Manuel; Zhdanov, Dmitry On the prevention of fraud and privacy exposure in process information flow. (English) Zbl 06599279 INFORMS J. Comput. 24, No. 3, 416-432 (2012). MSC: 90 PDF BibTeX XML Cite \textit{X. Bai} et al., INFORMS J. Comput. 24, No. 3, 416--432 (2012; Zbl 06599279) Full Text: DOI
Miretskiy, D. I.; Scheinhardt, W. R. W.; Mandjes, M. R. H. On efficiency of multilevel splitting. (English) Zbl 1279.65016 Commun. Stat., Simulation Comput. 41, No. 6, 890-904 (2012). Reviewer: Evsei Morozov (Petrozavodsk) MSC: 65C50 60K25 60J22 60K20 65C40 PDF BibTeX XML Cite \textit{D. I. Miretskiy} et al., Commun. Stat., Simulation Comput. 41, No. 6, 890--904 (2012; Zbl 1279.65016) Full Text: DOI
Guo, Yongjiang Fluid approximation for generalized Jackson network with vacations. (English) Zbl 1256.60032 Front. Math. China 7, No. 3, 459-485 (2012). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 90B22 60K20 60F10 PDF BibTeX XML Cite \textit{Y. Guo}, Front. Math. China 7, No. 3, 459--485 (2012; Zbl 1256.60032) Full Text: DOI
Tekin, Salih; Andradóttir, Sigrún; Down, Douglas G. Dynamic server allocation for unstable queueing networks with flexible servers. (English) Zbl 1242.68045 Queueing Syst. 70, No. 1, 45-79 (2012). MSC: 68M20 60K25 90B22 90B15 PDF BibTeX XML Cite \textit{S. Tekin} et al., Queueing Syst. 70, No. 1, 45--79 (2012; Zbl 1242.68045) Full Text: DOI
Dai, J. G.; Dieker, A. B. Nonnegativity of solutions to the basic adjoint relationship for some diffusion processes. (English) Zbl 1275.60062 Queueing Syst. 68, No. 3-4, 295-303 (2011). MSC: 60J60 60K25 PDF BibTeX XML Cite \textit{J. G. Dai} and \textit{A. B. Dieker}, Queueing Syst. 68, No. 3--4, 295--303 (2011; Zbl 1275.60062) Full Text: DOI
Sigman, Karl Exact simulation of the stationary distribution of the FIFO M/G/\(c\) queue. (English) Zbl 1227.65015 J. Appl. Probab. 48A, Spec. Vol., 209-213 (2011). MSC: 65C50 60K25 60J05 PDF BibTeX XML Cite \textit{K. Sigman}, J. Appl. Probab. 48A, 209--213 (2011; Zbl 1227.65015) Full Text: DOI
Anastassiou, George A. Intelligent systems. Approximation by artificial neural networks. (English) Zbl 1243.68002 Intelligent Systems Reference Library 19. Berlin: Springer (ISBN 978-3-642-21430-1/hbk; 978-3-642-21431-8/ebook). v, 107 p. (2011). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 68-01 92B20 41A25 68T05 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Intelligent systems. Approximation by artificial neural networks. Berlin: Springer (2011; Zbl 1243.68002) Full Text: DOI
Khanchi, Aziz Asymptotic hitting distribution for a reflected random walk in the positive quadrant. (English) Zbl 1225.60128 Stoch. Models 27, No. 2, 169-201 (2011). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J10 60K20 60K30 60F10 PDF BibTeX XML Cite \textit{A. Khanchi}, Stoch. Models 27, No. 2, 169--201 (2011; Zbl 1225.60128) Full Text: DOI
van Dijk, Nico M. On practical product form characterizations. (English) Zbl 1226.60127 Boucherie, Richard J. (ed.) et al., Queueing networks. A fundamental approach. New York, NY: Springer (ISBN 978-1-4419-6471-7/hbk; 978-1-4419-6472-4/ebook). International Series in Operations Research & Management Science 154, 1-83 (2011). Reviewer: Hans Daduna (Hamburg) MSC: 60K25 90B22 68M20 90B15 PDF BibTeX XML Cite \textit{N. M. van Dijk}, in: Queueing networks. A fundamental approach. New York, NY: Springer. 1--83 (2011; Zbl 1226.60127) Full Text: DOI
Cao, Feilong; Lin, Shaobo The capability of approximation for neural networks interpolant on the sphere. (English) Zbl 1226.41001 Math. Methods Appl. Sci. 34, No. 4, 469-478 (2011). Reviewer: Ioana Tascu (Baia Mare) MSC: 41A05 41A30 33C55 46E30 41A17 PDF BibTeX XML Cite \textit{F. Cao} and \textit{S. Lin}, Math. Methods Appl. Sci. 34, No. 4, 469--478 (2011; Zbl 1226.41001) Full Text: DOI
Huang, Haiyan; Wang, Zheng Solving coupled task assignment and capacity planning problems for a job shop by using a concurrent genetic algorithm. (English) Zbl 1210.90076 Int. J. Prod. Res. 48, No. 24, 7507-7522 (2010). MSC: 90B30 90C59 PDF BibTeX XML Cite \textit{H. Huang} and \textit{Z. Wang}, Int. J. Prod. Res. 48, No. 24, 7507--7522 (2010; Zbl 1210.90076) Full Text: DOI
Kaynar, Bahar; Ridder, Ad The cross-entropy method with patching for rare-event simulation of large Markov chains. (English) Zbl 1208.65020 Eur. J. Oper. Res. 207, No. 3, 1380-1397 (2010). MSC: 65C40 62N05 60J22 65C60 62D05 PDF BibTeX XML Cite \textit{B. Kaynar} and \textit{A. Ridder}, Eur. J. Oper. Res. 207, No. 3, 1380--1397 (2010; Zbl 1208.65020) Full Text: DOI
Tsitsiashvili, G. Sh.; Osipova, M. A. Parameter estimation for product-form distributions of queueing networks. (English. Russian original) Zbl 1190.90055 Probl. Inf. Transm. 45, No. 4, 400-405 (2009); translation from Probl. Peredachi Inf. 45, No. 4, 115-120 (2009). MSC: 90B22 90B15 62P30 PDF BibTeX XML Cite \textit{G. Sh. Tsitsiashvili} and \textit{M. A. Osipova}, Probl. Inf. Transm. 45, No. 4, 400--405 (2009; Zbl 1190.90055); translation from Probl. Peredachi Inf. 45, No. 4, 115--120 (2009) Full Text: DOI
Mylosz, Jennifer; Daduna, Hans On the behavior of stable subnetworks in non-ergodic networks with unreliable nodes. (English) Zbl 1168.90366 Comput. Netw. 53, No. 8, 1249-1263 (2009). MSC: 90B15 PDF BibTeX XML Cite \textit{J. Mylosz} and \textit{H. Daduna}, Comput. Netw. 53, No. 8, 1249--1263 (2009; Zbl 1168.90366) Full Text: DOI
Kijima, S.; Matsui, T. Approximation algorithm and perfect sampler for closed Jackson networks with single servers. (English) Zbl 1176.65010 SIAM J. Comput. 38, No. 4, 1484-1503 (2008). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 65C40 65C05 60K25 PDF BibTeX XML Cite \textit{S. Kijima} and \textit{T. Matsui}, SIAM J. Comput. 38, No. 4, 1484--1503 (2008; Zbl 1176.65010) Full Text: DOI
Nicola, Victor F.; Zaburnenko, Tatiana S. Efficient importance sampling heuristics for the simulation of population overflow in Jackson networks. (English) Zbl 1390.90249 ACM Trans. Model. Comput. Simul. 17, No. 2, Article No. 10, 38 p. (2007). MSC: 90B22 90B15 PDF BibTeX XML Cite \textit{V. F. Nicola} and \textit{T. S. Zaburnenko}, ACM Trans. Model. Comput. Simul. 17, No. 2, Article No. 10, 38 p. (2007; Zbl 1390.90249) Full Text: DOI
Lekadir, O.; Aissani, D. Strong stability in a Jackson queueing network. (English) Zbl 1199.60321 Teor. Jmovirn. Mat. Stat. 77, 96-108 (2007) and Theory Probab. Math. Stat. 77, 107-119 (2008). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60K20 60K25 PDF BibTeX XML Cite \textit{O. Lekadir} and \textit{D. Aissani}, Teor. Ĭmovirn. Mat. Stat. 77, 96--108 (2007; Zbl 1199.60321) Full Text: Link
Kulik, Rafał Dependence in lag for Markov chains on partially ordered state spaces with applications to degradable networks. (English) Zbl 1159.60031 Stoch. Models 23, No. 4, 683-696 (2007). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 90B22 60J27 PDF BibTeX XML Cite \textit{R. Kulik}, Stoch. Models 23, No. 4, 683--696 (2007; Zbl 1159.60031) Full Text: DOI
Schwarz, Maike; Wichelhaus, Cornelia; Daduna, Hans Product form models for queueing networks with an inventory. (English) Zbl 1172.60028 Stoch. Models 23, No. 4, 627-663 (2007). Reviewer: Evsei Morozov (Petrozavodsk) MSC: 60K30 60K25 90B22 90B05 PDF BibTeX XML Cite \textit{M. Schwarz} et al., Stoch. Models 23, No. 4, 627--663 (2007; Zbl 1172.60028) Full Text: DOI
Dai, J. G.; Hasenbein, John J.; Kim, Bara Stability of join-the-shortest-queue networks. (English) Zbl 1172.90360 Queueing Syst. 57, No. 4, 129-145 (2007). MSC: 90B22 90B15 60K25 PDF BibTeX XML Cite \textit{J. G. Dai} et al., Queueing Syst. 57, No. 4, 129--145 (2007; Zbl 1172.90360) Full Text: DOI
Lelarge, Marc Tail asymptotics for monotone-separable networks. (English) Zbl 1134.60321 J. Appl. Probab. 44, No. 2, 306-320 (2007). MSC: 60F10 60K25 60K20 PDF BibTeX XML Cite \textit{M. Lelarge}, J. Appl. Probab. 44, No. 2, 306--320 (2007; Zbl 1134.60321) Full Text: DOI arXiv
Révész, Szilárd Gy.; Reyes, Noli N.; Velasco, Gino Angelo M. Oscillation of Fourier transforms and Markov-Bernstein inequalities. (English) Zbl 1120.42006 J. Approximation Theory 145, No. 1, 100-110 (2007). Reviewer: Gerlind Plonka (Duisburg) MSC: 42A38 41A17 PDF BibTeX XML Cite \textit{S. Gy. Révész} et al., J. Approx. Theory 145, No. 1, 100--110 (2007; Zbl 1120.42006) Full Text: DOI arXiv
Daduna, Hans; Kulik, Rafał; Sauer, Cornelia; Szekli, Ryszard Dependence ordering for queuing networks with breakdown and repair. (English) Zbl 1110.60068 Probab. Eng. Inf. Sci. 20, No. 4, 575-594 (2006). Reviewer: Florin Gorunescu (Craiova) MSC: 60J27 60K20 PDF BibTeX XML Cite \textit{H. Daduna} et al., Probab. Eng. Inf. Sci. 20, No. 4, 575--594 (2006; Zbl 1110.60068) Full Text: DOI
Juneja, Sandeep; Nicola, Victor Efficient simulation of buffer overflow probabilities in Jackson networks with feedback. (English) Zbl 1390.90224 ACM Trans. Model. Comput. Simul. 15, No. 4, 281-315 (2005). MSC: 90B22 90B15 PDF BibTeX XML Cite \textit{S. Juneja} and \textit{V. Nicola}, ACM Trans. Model. Comput. Simul. 15, No. 4, 281--315 (2005; Zbl 1390.90224) Full Text: DOI
Khmelev, D. On convergence to equilibrium of infinite closed Jackson networks. (English) Zbl 1099.82009 Markov Process. Relat. Fields 11, No. 3, 467-488 (2005). Reviewer: Christina Papenfuß (Berlin) MSC: 82C22 60K35 PDF BibTeX XML Cite \textit{D. Khmelev}, Markov Process. Relat. Fields 11, No. 3, 467--488 (2005; Zbl 1099.82009)
Ciuiu, Daniel Solving linear systems of equations and differential equations with partial derivatives by the Monte Carlo method using service systems. (English) Zbl 1265.65004 An. Univ. Bucureşti, Mat.-Inform. 53, 93-104 (2004). MSC: 65C05 60K25 65F30 65C50 65M99 65N99 35J25 35K20 PDF BibTeX XML Cite \textit{D. Ciuiu}, An. Univ. Bucureşti, Mat.-Inform. 53, 93--104 (2004; Zbl 1265.65004)
Anastassiou, G. A. Univariate fuzzy-random neural network approximation operators. (English) Zbl 1102.41304 Comput. Math. Appl. 48, No. 9, 1263-1283 (2004). MSC: 41A35 26E50 PDF BibTeX XML Cite \textit{G. A. Anastassiou}, Comput. Math. Appl. 48, No. 9, 1263--1283 (2004; Zbl 1102.41304) Full Text: DOI
Srinivasan, Raj; Talim, Jérôme; Wang, Jinting Performance analysis of a call center with interactive voice response units. (English) Zbl 1076.60083 Top 12, No. 1, 91-110 (2004). Reviewer: Evsei Morozov (Petrozavodsk) MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{R. Srinivasan} et al., Top 12, No. 1, 91--110 (2004; Zbl 1076.60083) Full Text: DOI
Zazanis, Michael A. Cycle times in single server cyclic Jackson networks. (English) Zbl 1054.90013 Oper. Res. Lett. 32, No. 5, 422-430 (2004). MSC: 90B15 60K15 60K20 PDF BibTeX XML Cite \textit{M. A. Zazanis}, Oper. Res. Lett. 32, No. 5, 422--430 (2004; Zbl 1054.90013) Full Text: DOI
McDonald, David Elements of applied probability for engineering, mathematics and systems science. (English) Zbl 1058.60001 River Edge, NJ: World Scientific (ISBN 981-238-740-4/pbk; 981-238-739-0/hbk). xiii, 361 p. (2004). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 60-01 60-02 00A06 PDF BibTeX XML Cite \textit{D. McDonald}, Elements of applied probability for engineering, mathematics and systems science. River Edge, NJ: World Scientific (2004; Zbl 1058.60001)
Sauer, Cornelia; Daduna, Hans Availability formulas and performance measures for separable degradable networks. (English) Zbl 1132.62359 Econ. Qual. Control 18, No. 2, 165-194 (2003). MSC: 62N05 60K25 60J20 60K30 PDF BibTeX XML Cite \textit{C. Sauer} and \textit{H. Daduna}, Econ. Qual. Control 18, No. 2, 165--194 (2003; Zbl 1132.62359) Full Text: DOI Link
Vvedenskaya, N. D.; Sukhov, Yu. M. Functional equations in asymptotic problems of queueing theory. (English) Zbl 1205.90070 J. Math. Sci., New York 120, No. 3, 1255-1276 (2004); translation from Tr. Semin. Im. I. G. Petrovskogo 23, 28-60 (2003). MSC: 90B18 90B22 34K12 35F15 35R10 60K25 PDF BibTeX XML Cite \textit{N. D. Vvedenskaya} and \textit{Yu. M. Sukhov}, J. Math. Sci., New York 120, No. 3, 1255--1276 (2003; Zbl 1205.90070); translation from Tr. Semin. Im. I. G. Petrovskogo 23, 28--60 (2003) Full Text: DOI
Šimović, Vladimir; Jolić, Natalija M. Analysis of the intelligent transport system in the function of robotised multi terminal port system. (English) Zbl 1063.90503 Zadnick Stirn, L. (ed.) et al., SOR ’03 Proceedings. The 7th international symposium on operational research in Slovenia, Podčetrtek, Slovenia, September 24–26, 2003. Ljubljana: Slovenian Society Informatika, Section for Operational Research (ISBN 961-6165-15-1/pbk). 109-115 (2003). MSC: 90B06 PDF BibTeX XML Cite \textit{V. Šimović} and \textit{N. M. Jolić}, in: SOR '03 Proceedings. The 7th international symposium on operational research in Slovenia, Podčetrtek, Slovenia, September 24--26, 2003. Ljubljana: Slovenian Society Informatika, Section for Operational Research. 109--115 (2003; Zbl 1063.90503)
Bocharov, P. P. A queueing network with random-delay signals. (English. Russian original) Zbl 1083.90502 Autom. Remote Control 63, No. 9, 1448-1457 (2002); translation from Avtom. Telemekh. 2002, No. 9, 85-96 (2002). Reviewer: Anirban Mahanti (Calgary) MSC: 90B22 90B15 60K05 60K10 60K15 PDF BibTeX XML Cite \textit{P. P. Bocharov}, Autom. Remote Control 63, No. 9, 1448--1457 (2002; Zbl 1083.90502); translation from Avtom. Telemekh. 2002, No. 9, 85--96 (2002) Full Text: DOI
Vvedenskaya, N. D.; Suhov, Yu. M. Differential equations arising in queuing theory. (English) Zbl 1046.60089 Funct. Differ. Equ. 8, No. 3-4, 447-457 (2001). Reviewer: Yu. V. Kozachenko (Kyïv) MSC: 60K25 90B15 68M20 34G20 PDF BibTeX XML Cite \textit{N. D. Vvedenskaya} and \textit{Yu. M. Suhov}, Funct. Differ. Equ. 8, No. 3--4, 447--457 (2001; Zbl 1046.60089)
Lebedev, E. A. Queueing networks with multichannel nodes and recurrent input flow. (English. Russian original) Zbl 1034.68010 Cybern. Syst. Anal. 37, No. 4, 573-580 (2001); translation from Kibern. Sist. Anal. 2001, No. 4, 133-141 (2001). MSC: 68M20 PDF BibTeX XML Cite \textit{E. A. Lebedev}, Cybern. Syst. Anal. 37, No. 4, 573--580 (2001; Zbl 1034.68010); translation from Kibern. Sist. Anal. 2001, No. 4, 133--141 (2001) Full Text: DOI
Lebedev, E. A.; Shmygevs’kyj, M. V. On diffusion approximation of a transient regime in Jackson networks. (Ukrainian. English summary) Zbl 1074.90511 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 228-237 (2000). MSC: 90B15 90B10 PDF BibTeX XML Cite \textit{E. A. Lebedev} and \textit{M. V. Shmygevs'kyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 228--237 (2000; Zbl 1074.90511)
Majewski, Kurt Single class queueing networks with discrete and fluid customers on the time interval \(\mathbb R\). (English) Zbl 0969.60095 Queueing Syst. 36, No. 4, 405-435 (2000). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{K. Majewski}, Queueing Syst. 36, No. 4, 405--435 (2000; Zbl 0969.60095) Full Text: DOI
Scherbakov, V. V. Long time dynamics in large closed Jackson networks. (English) Zbl 0953.60087 Markov Process. Relat. Fields 6, No. 1, 107-119 (2000). MSC: 60K25 68M20 PDF BibTeX XML Cite \textit{V. V. Scherbakov}, Markov Process. Relat. Fields 6, No. 1, 107--119 (2000; Zbl 0953.60087)
Massey, William A.; Srinivasan, Raj Steady state analysis with heavy traffic limits for semi-open networks. (English) Zbl 0974.60072 Gorostiza, Luis G. (ed.) et al., Stochastic models. Proceedings of the international conference, in honour of Prof. Donald A. Dawson, Ottawa, Canada, June 10-13, 1998. Providence, RI: AMS, American Mathematical Society for the Canadian Mathematical Society. CMS Conf. Proc. 26, 331-352 (2000). Reviewer: P.R.Parthasarathy (Chennai) MSC: 60K25 68M20 PDF BibTeX XML Cite \textit{W. A. Massey} and \textit{R. Srinivasan}, in: Stochastic models. Proceedings of the international conference, in honour of Prof. Donald A. Dawson, Ottawa, Canada, June 10--13, 1998. Providence, RI: AMS, American Mathematical Society for the Canadian Mathematical Society. 331--352 (2000; Zbl 0974.60072)
Mattsson, Dan On perfect simulation of certain queueing networks. (English) Zbl 0944.60096 Göteborg: Chalmers Univ. of Technology, Department of Mathematical Statistics, v, 58 p. (2000). MSC: 60K25 90B22 65C05 PDF BibTeX XML Cite \textit{D. Mattsson}, On perfect simulation of certain queueing networks. Göteborg: Chalmers Univ. of Technology, Department of Mathematical Statistics (2000; Zbl 0944.60096)
Atar, Rami; Dupuis, Paul Large deviations and queueing networks: Methods for rate function identification. (English) Zbl 0996.60036 Stochastic Processes Appl. 84, No. 2, 255-296 (1999). MSC: 60F10 93E20 60F17 60K25 PDF BibTeX XML Cite \textit{R. Atar} and \textit{P. Dupuis}, Stochastic Processes Appl. 84, No. 2, 255--296 (1999; Zbl 0996.60036) Full Text: DOI
Martin, J. B.; Suhov, Yu. M. Fast Jackson networks. (English) Zbl 0972.90008 Ann. Appl. Probab. 9, No. 3, 854-870 (1999). MSC: 90B15 90B22 60K25 60J27 PDF BibTeX XML Cite \textit{J. B. Martin} and \textit{Yu. M. Suhov}, Ann. Appl. Probab. 9, No. 3, 854--870 (1999; Zbl 0972.90008) Full Text: DOI
Mandelbaum, Avi; Massey, William A.; Reiman, Martin I. Strong approximation for Markovian service networks. (English) Zbl 0911.90167 Queueing Syst. 30, No. 1-2, 149-201 (1998). MSC: 90B22 60K25 PDF BibTeX XML Cite \textit{A. Mandelbaum} et al., Queueing Syst. 30, No. 1--2, 149--201 (1998; Zbl 0911.90167) Full Text: DOI
McNickle, Donald C. Mean simultaneous busy period lengths in open Jackson networks. (English) Zbl 0913.60086 Asia-Pac. J. Oper. Res. 14, No. 2, 1-8 (1997). Reviewer: H.Daduna (Hamburg) MSC: 60K25 60K20 68M20 PDF BibTeX XML Cite \textit{D. C. McNickle}, Asia-Pac. J. Oper. Res. 14, No. 2, 1--8 (1997; Zbl 0913.60086)
Kang, Sungyeol; Serfozo, Richard F. Maxima of sojourn times in acyclic Jackson queueing networks. (English) Zbl 0889.90070 Comput. Oper. Res. 24, No. 11, 1085-1095 (1997). MSC: 90B22 60K20 PDF BibTeX XML Cite \textit{S. Kang} and \textit{R. F. Serfozo}, Comput. Oper. Res. 24, No. 11, 1085--1095 (1997; Zbl 0889.90070) Full Text: DOI
Boucherie, Richard J. On the quasi-stationary distribution for queueing networks with defective routing. (English) Zbl 0885.90045 J. Aust. Math. Soc., Ser. B 38, No. 4, 454-463 (1997). Reviewer: A.Dvurečenskij (Bratislava) MSC: 90B22 60K20 60K25 PDF BibTeX XML Cite \textit{R. J. Boucherie}, J. Aust. Math. Soc., Ser. B 38, No. 4, 454--463 (1997; Zbl 0885.90045) Full Text: DOI
Modha, Dharmendra S.; Masry, Elias Minimum complexity regression estimation with weakly dependent observations. (English) Zbl 0868.62015 IEEE Trans. Inf. Theory 42, No. 6, Pt. 2, 2133-2145 (1996). MSC: 62B10 41A17 62M10 PDF BibTeX XML Cite \textit{D. S. Modha} and \textit{E. Masry}, IEEE Trans. Inf. Theory 42, No. 6, Part 2, 2133--2145 (1996; Zbl 0868.62015) Full Text: DOI
Karpelevich, F. I.; Pechersky, E. A.; Suhov, Yu. M. Dobrushin’s approach to queueing network theory. (English) Zbl 0876.60074 J. Appl. Math. Stochastic Anal. 9, No. 4, 373-397 (1996). Reviewer: J.Morozov (Petrozavodsk) MSC: 60K20 01A60 90B22 60J10 PDF BibTeX XML Cite \textit{F. I. Karpelevich} et al., J. Appl. Math. Stochastic Anal. 9, No. 4, 373--397 (1996; Zbl 0876.60074) Full Text: DOI EuDML
Miyazawa, Masakiyo Stability of discrete-time Jackson networks with batch movements. (English) Zbl 0856.60095 Glasserman, Paul (ed.) et al., Stochastic networks: stability and rare events. Proceedings of the workshop, Columbia, OH, USA, November 3-4, 1995. New York, NY: Springer. Lect. Notes Stat., Springer-Verlag. 117, 75-93 (1996). MSC: 60K20 60K25 PDF BibTeX XML Cite \textit{M. Miyazawa}, in: Stochastic networks: stability and rare events. Proceedings of the workshop, New York, NY, USA, November 3-4, 1995. New York, NY: Springer. 75--93 (1996; Zbl 0856.60095)
Baccelli, François; Foss, Serguei; Mairesse, Jean Stationary ergodic Jackson networks: Results and counter-examples. (English) Zbl 0856.60090 Kelly, F. P. (ed.) et al., Stochastic networks: theory and applications. Selected papers of the Royal Statistical Society research workshop, Edinburgh, GB, August 1–11, 1995. Oxford: Clarendon Press. R. Stat. Soc. Lect. Note Ser. 4, 281-307 (1996). MSC: 60K20 60K25 PDF BibTeX XML Cite \textit{F. Baccelli} et al., in: Stochastic networks: theory and applications. Selected papers of the Royal Statistical Society research workshop, Edinburgh, GB, August 1--11, 1995. Oxford: Clarendon Press. 281--307 (1996; Zbl 0856.60090)
Botvich, D. D.; Zamyatin, A. A. On fluid approximations for conservative networks. (English) Zbl 0901.60064 Markov Process. Relat. Fields 1, No. 1, 113-140 (1995). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{D. D. Botvich} and \textit{A. A. Zamyatin}, Markov Process. Relat. Fields 1, No. 1, 113--140 (1995; Zbl 0901.60064)
Heidelberger, Philip Fast simulation of rare events in queueing and reliability models. (English) Zbl 0843.62096 ACM Trans. Model. Comput. Simul. 5, No. 1, 43-85 (1995). MSC: 62N05 65C20 60K25 PDF BibTeX XML Cite \textit{P. Heidelberger}, ACM Trans. Model. Comput. Simul. 5, No. 1, 43--85 (1995; Zbl 0843.62096) Full Text: DOI Link
Glasserman, Paul; Kou, Shing-Gang Analysis of an importance sampling estimator for tandem queues. (English) Zbl 0841.62083 ACM Trans. Model. Comput. Simul. 5, No. 1, 22-42 (1995). MSC: 62M99 60K25 PDF BibTeX XML Cite \textit{P. Glasserman} and \textit{S.-G. Kou}, ACM Trans. Model. Comput. Simul. 5, No. 1, 22--42 (1995; Zbl 0841.62083) Full Text: DOI Link
Dai, Jim G.; Meyn, Sean P. Stability and convergence of moments for multiclass queueing networks via fluid limit models. (English) Zbl 0836.90074 IEEE Trans. Autom. Control 40, No. 11, 1889-1904 (1995). MSC: 90B22 90B15 60K20 90B18 PDF BibTeX XML Cite \textit{J. G. Dai} and \textit{S. P. Meyn}, IEEE Trans. Autom. Control 40, No. 11, 1889--1904 (1995; Zbl 0836.90074) Full Text: DOI
Moustafa, Magdi S. The conjugate gradient method for queueing networks. (English) Zbl 0834.65147 Appl. Math. Comput. 71, No. 2-3, 289-294 (1995). Reviewer: I.S.Molchanov (Glasgow) MSC: 65C99 60K20 PDF BibTeX XML Cite \textit{M. S. Moustafa}, Appl. Math. Comput. 71, No. 2--3, 289--294 (1995; Zbl 0834.65147) Full Text: DOI
Anantharam, Venkat; Konstantopoulos, Takis A functional central limit theorem for the jump counts of Markov processes with an application to Jackson networks. (English) Zbl 0823.60063 Adv. Appl. Probab. 27, No. 2, 476-509 (1995). MSC: 60J25 PDF BibTeX XML Cite \textit{V. Anantharam} and \textit{T. Konstantopoulos}, Adv. Appl. Probab. 27, No. 2, 476--509 (1995; Zbl 0823.60063) Full Text: DOI
Szekli, Ryszard Stochastic ordering and dependence in applied probability. (English) Zbl 0815.60017 Lecture Notes in Statistics (Springer). 97. Berlin: Springer-Verlag. viii, 194 p. (1995). Reviewer: M.Shaked (Tucson) MSC: 60E15 60K25 60-02 90B22 PDF BibTeX XML Cite \textit{R. Szekli}, Stochastic ordering and dependence in applied probability. Berlin: Springer-Verlag (1995; Zbl 0815.60017)
Yao, David D. (ed.) Stochastic modeling and analysis of manufacturing systems. (English) Zbl 0874.60101 Springer Series in Operations Research. New York, NY: Springer. xvi, 360 p. (1994). Reviewer: D.H.Shi MSC: 60K99 60-06 68-06 00B15 PDF BibTeX XML Cite \textit{D. D. Yao} (ed.), Stochastic modeling and analysis of manufacturing systems. New York, NY: Springer (1994; Zbl 0874.60101)
Iscoe, I.; McDonald, D. Asymptotics of exit times for Markov jump processes. II: Applications to Jackson networks. (English) Zbl 0834.60091 Ann. Probab. 22, No. 4, 2168-2182 (1994). MSC: 60J75 60K30 60K20 PDF BibTeX XML Cite \textit{I. Iscoe} and \textit{D. McDonald}, Ann. Probab. 22, No. 4, 2168--2182 (1994; Zbl 0834.60091) Full Text: DOI
Anantharam, Venkat; Ganesh, A. J. Correctness within a constant of an optimal buffer allocation rule of thumb. (English) Zbl 0821.94002 IEEE Trans. Inf. Theory 40, No. 3, 871-882 (1994). MSC: 94A05 94C99 68M20 90B15 60K25 PDF BibTeX XML Cite \textit{V. Anantharam} and \textit{A. J. Ganesh}, IEEE Trans. Inf. Theory 40, No. 3, 871--882 (1994; Zbl 0821.94002) Full Text: DOI
Aarssen, Karin; van Dijk, Nico M. A note on Jackson networks with state-dependent rejection probabilities. (English) Zbl 0823.90043 Oper. Res. Lett. 16, No. 3, 177-181 (1994). MSC: 90B22 60K20 PDF BibTeX XML Cite \textit{K. Aarssen} and \textit{N. M. van Dijk}, Oper. Res. Lett. 16, No. 3, 177--181 (1994; Zbl 0823.90043) Full Text: DOI
Baccelli, François; Foss, Serguei Ergodicity of Jackson-type queueing networks. (English) Zbl 0826.60081 Queueing Syst. 17, No. 1-2, 5-72 (1994). Reviewer: V.V.Kalashnikov (Moskva) MSC: 60K20 60K25 90B22 90B15 PDF BibTeX XML Cite \textit{F. Baccelli} and \textit{S. Foss}, Queueing Syst. 17, No. 1--2, 5--72 (1994; Zbl 0826.60081) Full Text: DOI
Meyn, S. P.; Down, D. Stability of generalized Jackson networks. (English) Zbl 0807.68015 Ann. Appl. Probab. 4, No. 1, 124-148 (1994). MSC: 68M20 60J10 PDF BibTeX XML Cite \textit{S. P. Meyn} and \textit{D. Down}, Ann. Appl. Probab. 4, No. 1, 124--148 (1994; Zbl 0807.68015) Full Text: DOI
Dai, J. G.; Nguyen, Viên; Reiman, Martin I. Sequential bottleneck decomposition: An approximation method for generalized Jackson networks. (English) Zbl 0802.90046 Oper. Res. 42, No. 1, 119-136 (1994). MSC: 90B22 60K20 PDF BibTeX XML Cite \textit{J. G. Dai} et al., Oper. Res. 42, No. 1, 119--136 (1994; Zbl 0802.90046) Full Text: DOI
Chang, Cheng-Shang; Thomas, Joy A.; Kiang, Shaw-Hwa On the stability of open networks: A unified approach by stochastic dominance. (English) Zbl 0789.60077 Queueing Syst. 15, No. 1-4, 239-260 (1994). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{C.-S. Chang} et al., Queueing Syst. 15, No. 1--4, 239--260 (1994; Zbl 0789.60077) Full Text: DOI
Henderson, W.; Northcote, B. S.; Taylor, P. G. Geometric equilibrium distributions for queues with interactive batch departures. (English) Zbl 0818.90051 Ann. Oper. Res. 48, No. 1-4, 493-511 (1994). Reviewer: W.Schlee-Kössler (Baldham) MSC: 90B15 90B22 60K20 60K25 PDF BibTeX XML Cite \textit{W. Henderson} et al., Ann. Oper. Res. 48, No. 1--4, 493--511 (1994; Zbl 0818.90051) Full Text: DOI