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Perel, Efrat; Perel, Nir; Yechiali, Uri A 3-queue polling system with join the shortest-serve the longest policy. (English) Zbl 1520.90082 Indag. Math., New Ser. 34, No. 5, 1101-1120 (2023). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{E. Perel} et al., Indag. Math., New Ser. 34, No. 5, 1101--1120 (2023; Zbl 1520.90082) Full Text: DOI arXiv
Ramachandra, Arjun Kodagehalli; Natarajan, Karthik Tight probability bounds with pairwise independence. (English) Zbl 1524.60005 SIAM J. Discrete Math. 37, No. 2, 516-555 (2023). MSC: 60-08 60C05 60E15 90C05 PDFBibTeX XMLCite \textit{A. K. Ramachandra} and \textit{K. Natarajan}, SIAM J. Discrete Math. 37, No. 2, 516--555 (2023; Zbl 1524.60005) Full Text: DOI arXiv
Backhoff-Veraguas, Julio; Beiglböck, Mathias; Conforti, Giovanni A non-linear monotonicity principle and applications to Schrödinger-type problems. (English) Zbl 07738399 Bull. Lond. Math. Soc. 54, No. 5, 1998-2013 (2022). MSC: 49Q22 60F10 46N30 90C30 PDFBibTeX XMLCite \textit{J. Backhoff-Veraguas} et al., Bull. Lond. Math. Soc. 54, No. 5, 1998--2013 (2022; Zbl 07738399) Full Text: DOI arXiv
Alharbi, Talal; Ninh, Anh; Subasi, Ersoy; Subasi, Munevver Mine The value of shape constraints in discrete moment problems: a review and extension. (English) Zbl 1507.90104 Ann. Oper. Res. 318, No. 1, 1-31 (2022). MSC: 90C08 PDFBibTeX XMLCite \textit{T. Alharbi} et al., Ann. Oper. Res. 318, No. 1, 1--31 (2022; Zbl 1507.90104) Full Text: DOI
Singh, Bismark Tighter reformulations using classical Dawson and Sankoff bounds for approximating two-stage chance-constrained programs. (English) Zbl 1466.90061 Optim. Lett. 15, No. 2, 327-336 (2021). MSC: 90C15 PDFBibTeX XMLCite \textit{B. Singh}, Optim. Lett. 15, No. 2, 327--336 (2021; Zbl 1466.90061) Full Text: DOI
Veretennikov, A. Yu. On mean-field (\(\mathrm{GI}/\mathrm{GI}/1\)) queueing model: existence and uniqueness. (English) Zbl 1434.90044 Queueing Syst. 94, No. 3-4, 243-255 (2020). MSC: 90B22 60K25 90-10 49N80 PDFBibTeX XMLCite \textit{A. Yu. Veretennikov}, Queueing Syst. 94, No. 3--4, 243--255 (2020; Zbl 1434.90044) Full Text: DOI arXiv Link
Kumaran, V.; Swarnalatha, R. Sharp bounds for the probability of union of \(n\) events when \(m\) number of binomial moments are known. (English) Zbl 1431.90100 Optim. Eng. 21, No. 1, 241-271 (2020). MSC: 90C15 60E15 90C05 15A09 PDFBibTeX XMLCite \textit{V. Kumaran} and \textit{R. Swarnalatha}, Optim. Eng. 21, No. 1, 241--271 (2020; Zbl 1431.90100) Full Text: DOI
Vasantam, Thirupathaiah; Mukhopadhyay, Arpan; Mazumdar, Ravi R. Insensitivity of the mean field limit of loss systems under \(\mathrm{SQ}(d)\) routeing. (English) Zbl 1427.60210 Adv. Appl. Probab. 51, No. 4, 1027-1066 (2019). MSC: 60K35 60K25 90B22 60F10 60J10 62F15 PDFBibTeX XMLCite \textit{T. Vasantam} et al., Adv. Appl. Probab. 51, No. 4, 1027--1066 (2019; Zbl 1427.60210) Full Text: DOI arXiv
Singh, Bismark; Watson, Jean-Paul Approximating two-stage chance-constrained programs with classical probability bounds. (English) Zbl 1431.90103 Optim. Lett. 13, No. 6, 1403-1416 (2019). MSC: 90C15 90C59 PDFBibTeX XMLCite \textit{B. Singh} and \textit{J.-P. Watson}, Optim. Lett. 13, No. 6, 1403--1416 (2019; Zbl 1431.90103) Full Text: DOI Link
Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q. Performance analysis of joining the shortest queue model among a large number of queues. (English) Zbl 1423.90059 Asia-Pac. J. Oper. Res. 36, No. 4, Article ID 1950019, 23 p. (2019). MSC: 90B22 60J80 PDFBibTeX XMLCite \textit{D. A. Dawson} et al., Asia-Pac. J. Oper. Res. 36, No. 4, Article ID 1950019, 23 p. (2019; Zbl 1423.90059) Full Text: DOI
Swarnalatha, R.; Kumaran, V. Sharp probability bounds for the binomial moment problem with symmetry. (English) Zbl 1525.60019 Oper. Res. Lett. 46, No. 1, 37-43 (2018). MSC: 60C05 60E15 90C05 90C90 PDFBibTeX XMLCite \textit{R. Swarnalatha} and \textit{V. Kumaran}, Oper. Res. Lett. 46, No. 1, 37--43 (2018; Zbl 1525.60019) Full Text: DOI
Gao, Xuefeng; Deng, S. J. Hydrodynamic limit of order-book dynamics. (English) Zbl 1419.91581 Probab. Eng. Inf. Sci. 32, No. 1, 96-125 (2018). MSC: 91G10 91G80 60F17 60J28 90B22 PDFBibTeX XMLCite \textit{X. Gao} and \textit{S. J. Deng}, Probab. Eng. Inf. Sci. 32, No. 1, 96--125 (2018; Zbl 1419.91581) Full Text: DOI arXiv
Kumaran, V.; Swarnalatha, R. Bounds for the probability of union of events following monotonic distribution. (English) Zbl 1471.60013 Discrete Appl. Math. 223, 98-119 (2017). MSC: 60C05 90C05 90C90 PDFBibTeX XMLCite \textit{V. Kumaran} and \textit{R. Swarnalatha}, Discrete Appl. Math. 223, 98--119 (2017; Zbl 1471.60013) Full Text: DOI
Cox, Alexander M. G.; Källblad, Sigrid Model-independent bounds for Asian options: a dynamic programming approach. (English) Zbl 1415.91280 SIAM J. Control Optim. 55, No. 6, 3409-3436 (2017). MSC: 91G20 60G48 90C39 35Q91 PDFBibTeX XMLCite \textit{A. M. G. Cox} and \textit{S. Källblad}, SIAM J. Control Optim. 55, No. 6, 3409--3436 (2017; Zbl 1415.91280) Full Text: DOI arXiv
Subasi, Munevver M.; Subasi, Ersoy; Binmahfoudh, Ahmed; Prékopa, András New bounds for the probability that at least \(k\)-out-of-\(n\) events occur with unimodal distributions. (English) Zbl 1403.60023 Discrete Appl. Math. 226, 138-157 (2017). Reviewer: Hans Daduna (Hamburg) MSC: 60E15 90B25 PDFBibTeX XMLCite \textit{M. M. Subasi} et al., Discrete Appl. Math. 226, 138--157 (2017; Zbl 1403.60023) Full Text: DOI
Pham, Huyên; Wei, Xiaoli Dynamic programming for optimal control of stochastic McKean-Vlasov dynamics. (English) Zbl 1361.93069 SIAM J. Control Optim. 55, No. 2, 1069-1101 (2017). MSC: 93E20 60H30 60K35 90C39 49L20 PDFBibTeX XMLCite \textit{H. Pham} and \textit{X. Wei}, SIAM J. Control Optim. 55, No. 2, 1069--1101 (2017; Zbl 1361.93069) Full Text: DOI arXiv
Pujari, Arun K.; Padmanabhan, Vineet; Kagita, Venkateswara Rao Bounds on skyline probability for databases with uncertain preferences. (English) Zbl 1401.68327 Int. J. Approx. Reasoning 80, 199-213 (2017). MSC: 68T37 68P15 68W40 90C20 PDFBibTeX XMLCite \textit{A. K. Pujari} et al., Int. J. Approx. Reasoning 80, 199--213 (2017; Zbl 1401.68327) Full Text: DOI
Kuntz, Juan; Ottobre, Michela; Stan, Guy-Bart; Barahona, Mauricio Bounding stationary averages of polynomial diffusions via semidefinite programming. (English) Zbl 1355.60106 SIAM J. Sci. Comput. 38, No. 6, A3891-A3920 (2016). MSC: 60J60 60H10 60H35 90C22 65C30 PDFBibTeX XMLCite \textit{J. Kuntz} et al., SIAM J. Sci. Comput. 38, No. 6, A3891--A3920 (2016; Zbl 1355.60106) Full Text: DOI arXiv
Yang, Jun; Alajaji, Fady; Takahara, Glen Lower bounds on the probability of a finite union of events. (English) Zbl 1343.60004 SIAM J. Discrete Math. 30, No. 3, 1437-1452 (2016). MSC: 60C05 90C05 94B70 65C50 PDFBibTeX XMLCite \textit{J. Yang} et al., SIAM J. Discrete Math. 30, No. 3, 1437--1452 (2016; Zbl 1343.60004) Full Text: DOI arXiv
Li, Quan-Lin Nonlinear Markov processes in big networks. (English) Zbl 1343.60115 Spec. Matrices 4, 202-217 (2016). MSC: 60J27 60J28 60J10 60K35 90B15 PDFBibTeX XMLCite \textit{Q.-L. Li}, Spec. Matrices 4, 202--217 (2016; Zbl 1343.60115) Full Text: DOI arXiv
Prékopa, András; Ninh, Anh; Alexe, Gabriela On the relationship between the discrete and continuous bounding moment problems and their numerical solutions. (English) Zbl 1334.90184 Ann. Oper. Res. 238, No. 1-2, 521-575 (2016). MSC: 90C34 PDFBibTeX XMLCite \textit{A. Prékopa} et al., Ann. Oper. Res. 238, No. 1--2, 521--575 (2016; Zbl 1334.90184) Full Text: DOI
Qiu, Feng; Ahmed, Shabbir; Dey, Santanu S. Strengthened bounds for the probability of \(k\)-out-of-\(n\) events. (English) Zbl 1397.60022 Discrete Appl. Math. 198, 232-240 (2016). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 60C05 90C05 PDFBibTeX XMLCite \textit{F. Qiu} et al., Discrete Appl. Math. 198, 232--240 (2016; Zbl 1397.60022) Full Text: DOI
Huang, Jianhui; Li, Xun; Yong, Jiongmin A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon. (English) Zbl 1326.49051 Math. Control Relat. Fields 5, No. 1, 97-139 (2015). MSC: 49N10 49J55 49K45 49K40 49N35 60H10 93E20 93D15 90C22 PDFBibTeX XMLCite \textit{J. Huang} et al., Math. Control Relat. Fields 5, No. 1, 97--139 (2015; Zbl 1326.49051) Full Text: DOI arXiv
Unuvar, Merve; Ozguven, Eren Erman; Prékopa, András Optimal capacity design under \(k\)-out-of-\(n\) and consecutive \(k\)-out-of-\(n\) type probabilistic constraints. (English) Zbl 1309.90071 Ann. Oper. Res. 226, 643-657 (2015). MSC: 90C15 PDFBibTeX XMLCite \textit{M. Unuvar} et al., Ann. Oper. Res. 226, 643--657 (2015; Zbl 1309.90071) Full Text: DOI
Boros, Endre; Scozzari, Andrea; Tardella, Fabio; Veneziani, Pierangela Polynomially computable bounds for the probability of the union of events. (English) Zbl 1314.60033 Math. Oper. Res. 39, No. 4, 1311-1329 (2014). MSC: 60C05 90C05 PDFBibTeX XMLCite \textit{E. Boros} et al., Math. Oper. Res. 39, No. 4, 1311--1329 (2014; Zbl 1314.60033) Full Text: DOI Link
Feuillet, Mathieu; Robert, Philippe A scaling analysis of a transient stochastic network. (English) Zbl 1303.60085 Adv. Appl. Probab. 46, No. 2, 516-535 (2014). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 60F05 68M14 90B05 PDFBibTeX XMLCite \textit{M. Feuillet} and \textit{P. Robert}, Adv. Appl. Probab. 46, No. 2, 516--535 (2014; Zbl 1303.60085) Full Text: DOI arXiv Euclid
Borkar, Vivek Shripad; Sundaresan, Rajesh Asymptotics of the invariant measure in mean field models with jumps. (English) Zbl 1296.60258 Stoch. Syst. 2, No. 2, 322-380 (2012). MSC: 60K35 60F10 68M20 90B18 49J15 PDFBibTeX XMLCite \textit{V. S. Borkar} and \textit{R. Sundaresan}, Stoch. Syst. 2, No. 2, 322--380 (2012; Zbl 1296.60258) Full Text: DOI arXiv
Bukszár, József; Mádi-Nagy, Gergely; Szántai, Tamás Computing bounds for the probability of the union of events by different methods. (English) Zbl 1263.60017 Ann. Oper. Res. 201, 63–81 (2012). MSC: 60E15 60-08 90C05 PDFBibTeX XMLCite \textit{J. Bukszár} et al., Ann. Oper. Res. 201, 63--81 (2012; Zbl 1263.60017) Full Text: DOI
Radwan, Taha; Habib, A.; Alseedy, R.; Elsherbeny, A. Bounds for increasing multi-state consecutive \(k\)-out-of-\(r\)-from-\(n\): \(F\) system with equal components probabilities. (English) Zbl 1217.90088 Appl. Math. Modelling 35, No. 5, 2366-2373 (2011). MSC: 90B25 60K10 PDFBibTeX XMLCite \textit{T. Radwan} et al., Appl. Math. Modelling 35, No. 5, 2366--2373 (2011; Zbl 1217.90088) Full Text: DOI
Hoppe, Fred M. The effect of redundancy on probability bounds. (English) Zbl 1155.60008 Discrete Math. 309, No. 1, 123-127 (2009). MSC: 60E15 90C05 PDFBibTeX XMLCite \textit{F. M. Hoppe}, Discrete Math. 309, No. 1, 123--127 (2009; Zbl 1155.60008) Full Text: DOI
Hoppe, Fred M.; Nediak, Mikhail Fréchet optimal bounds on the probability of a union with supplementary information. (English) Zbl 1137.60008 Stat. Probab. Lett. 78, No. 3, 311-319 (2008). MSC: 60E15 60C05 90C05 PDFBibTeX XMLCite \textit{F. M. Hoppe} and \textit{M. Nediak}, Stat. Probab. Lett. 78, No. 3, 311--319 (2008; Zbl 1137.60008) Full Text: DOI
Burkard, Rainer E. Monge properties, discrete convexity and applications. (English) Zbl 1137.90579 Eur. J. Oper. Res. 176, No. 1, 1-14 (2007). MSC: 90B80 90C35 PDFBibTeX XMLCite \textit{R. E. Burkard}, Eur. J. Oper. Res. 176, No. 1, 1--14 (2007; Zbl 1137.90579) Full Text: DOI
Mahmudov, N. I.; McKibben, M. A. Abstract second-order damped McKean-Vlasov stochastic evolution equations. (English) Zbl 1102.35044 Stochastic Anal. Appl. 24, No. 2, 303-328 (2006). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 35K30 34F05 60H10 90B05 PDFBibTeX XMLCite \textit{N. I. Mahmudov} and \textit{M. A. McKibben}, Stochastic Anal. Appl. 24, No. 2, 303--328 (2006; Zbl 1102.35044) Full Text: DOI
Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q. Balancing queues by mean field interaction. (English) Zbl 1080.90026 Queueing Syst. 49, No. 3-4, 335-361 (2005). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{D. A. Dawson} et al., Queueing Syst. 49, No. 3--4, 335--361 (2005; Zbl 1080.90026) Full Text: DOI
Prékopa, András; Gao, Linchun Bounding the probability of the union of events by aggregation and disaggregation in linear programs. (English) Zbl 1107.60005 Discrete Appl. Math. 145, No. 3, 444-454 (2005). MSC: 60C05 90C05 PDFBibTeX XMLCite \textit{A. Prékopa} and \textit{L. Gao}, Discrete Appl. Math. 145, No. 3, 444--454 (2005; Zbl 1107.60005) Full Text: DOI
Lasserre, Jean-Bernard; Prieto-Rumeau, Tomás SDP vs. LP relaxations for the moment approach in some performance evaluation problems. (English) Zbl 1067.60059 Stoch. Models 20, No. 4, 439-456 (2004). Reviewer: Rózsa Horvàth-Bokor (Budapest) MSC: 60H35 60J25 90C22 PDFBibTeX XMLCite \textit{J.-B. Lasserre} and \textit{T. Prieto-Rumeau}, Stoch. Models 20, No. 4, 439--456 (2004; Zbl 1067.60059) Full Text: DOI
Schwerer, Elizabeth A linear programming approach to the steady-state analysis of reflected Brownian motion. (English) Zbl 0982.62071 Stoch. Models 17, No. 3, 341-368 (2001). Reviewer: Jacques Franchi (Strasbourg) MSC: 62M05 62G07 90C05 90C90 PDFBibTeX XMLCite \textit{E. Schwerer}, Stoch. Models 17, No. 3, 341--368 (2001; Zbl 0982.62071) Full Text: DOI
Puhalskii, A. Large deviation analysis of the single server queue. (English) Zbl 0849.60083 Queueing Syst. 21, No. 1-2, 5-66 (1995). Reviewer: J.Morozov (Petrozavodsk) MSC: 60K25 60F10 90B22 PDFBibTeX XMLCite \textit{A. Puhalskii}, Queueing Syst. 21, No. 1--2, 5--66 (1995; Zbl 0849.60083) Full Text: DOI