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Brill, Percy H.

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Author ID: brill.percy-h Recent zbMATH articles by "Brill, Percy H."
Published as: Brill, Percy H.; Brill, P. H.; Brill, Percy
Documents Indexed: 37 Publications since 1977, including 2 Books

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 224 times in 150 Documents Cited by Year
Level crossings in point processes applied to queues: Single-server case. Zbl 0373.60114
Brill, P. H.; Posner, M. J. M.
48
1977
The system point method in exponential queues: A level crossing approach. Zbl 0497.60089
Brill, P. H.; Posner, M. J. M.
29
1981
Level crossing methods in stochastic models. Zbl 1157.60003
Brill, Percy H.
22
2008
An embedded level crossing technique for dams and queues. Zbl 0396.60091
Brill, P. H.
14
1979
An algorithm to compute the waiting time distribution for the \(M/G/1\) queue. Zbl 1239.90033
Shortle, John F.; Brill, Percy H.; Fischer, Martin J.; Gross, Donald; Masi, Denise M. B.
12
2004
Queues in which customers receive simultaneous service from a random number of servers: a system point approach. Zbl 0579.60094
Brill, Percy H.; Green, Linda
10
1984
An \(M/G/1\) retrial queue with balking and retrials during service. Zbl 1100.90015
Wu, Xiaoyong; Brill, Percy; Hlynka, Myron; Wang, Jinting
8
2005
On estimation in \(M/G/c/c\) queues. Zbl 1004.90020
Huang, Mei Ling; Brill, Percy
8
2001
Internet-type queues with power-tailed interarrival times and computational methods for their analysis. Zbl 1238.68035
Harris, Carl M.; Brill, Percy H.; Fischer, Martin J.
8
2000
A distribution estimation method based on level crossings. Zbl 1094.62047
Huang, M. L.; Brill, P. H.
7
2004
An EOQ model with random variations in demand. Zbl 0843.90035
Brill, Percy H.; Chaouch, Ben A.
7
1995
Single-server queues with delay-dependent arrival streams. Zbl 1134.60388
Brill, P. H.
5
1988
Analysis of net inventory in continuous review models with random lead time. Zbl 0768.90013
Azoury, Katy S.; Brill, Percy H.
5
1992
A level crossing quantile estimation method. Zbl 0951.62026
Huang, Mei Ling; Brill, Percy
4
1999
An application of the system-point method to inventory models under continuous review. Zbl 0615.90037
Azoury, K.; Brill, P. H.
4
1986
Analysis of risk models using a level crossing technique. Zbl 1284.91210
Brill, Percy H.; Yu, Kaiqi
4
2011
A two server queue with nonwaiting customers receiving specialized service. Zbl 0463.60080
Brill, P. H.; Posner, M. J. M.
3
1981
Analytical distribution of waiting time in the M/{iD}/1 queue. Zbl 1085.60071
Shortle, John F.; Brill, Percy H.
3
2005
Waiting-time distribution of \(M/D_{N}/1\) queues through numerical Laplace inversion. Zbl 1241.90038
Shortle, John F.; Fischer, Martin J.; Brill, Percy H.
3
2007
Level crossing methods in stochastic models. 2nd edition. Zbl 1380.60002
Brill, Percy H.
2
2017
A level crossing density estimation method. Zbl 1127.62325
Huang, Mei Ling; Brill, Percy
2
1997
A single server \(N\)-line queue in which a customer may receive special treatment. Zbl 0910.60066
Brill, P. H.; Hlynka, M.
2
1998
An exponential queue with competition for service. Zbl 0976.90021
Brill, P. H.; Hlynka, M.
2
2000
A nonparametric regression method. Zbl 1042.62535
Huang, M. L.; Brill, P. H.
2
2001
A method for obtaining Laplace transforms of order statistics of Erlang random variables. Zbl 1177.62067
Hlynka, M.; Brill, P. H.; Horn, W.
2
2010
Nonhomogeneous geometric distributions with relations to birth and death processes. Zbl 1137.60305
Mandelbaum, Marvin; Hlynka, Myron; Brill, Percy H.
2
2007
Note on a series for M/G/1 queues. Zbl 1169.90336
Brill, Percy H.
1
2009
Note on the service time in an \(\mathrm{M}/\mathrm{G}/1\) queue with bounded workload. Zbl 1320.60151
Brill, Percy H.
1
2015
A cluster truncated Pareto distribution and its applications. Zbl 1302.60032
Huang, Mei Ling; Coia, Vincenzo; Brill, Percy
1
2013
Waiting times for \(M/G/1\) queues with service-time or delay-dependent server vacations. Zbl 0754.60104
Brill, P. H.; Harris, C. M.
1
1992
Alternative analysis of finite-time probability distributions of renewal theory. Zbl 1296.60238
Brill, Percy H.
1
2014
Note on an \(\langle s,S\rangle\) inventory system with decay. Zbl 1229.90008
Brill, P. H.; Huang, M. L.; Hlynka, M.
1
2009
Level crossing methods in stochastic models. 2nd edition. Zbl 1380.60002
Brill, Percy H.
2
2017
Note on the service time in an \(\mathrm{M}/\mathrm{G}/1\) queue with bounded workload. Zbl 1320.60151
Brill, Percy H.
1
2015
Alternative analysis of finite-time probability distributions of renewal theory. Zbl 1296.60238
Brill, Percy H.
1
2014
A cluster truncated Pareto distribution and its applications. Zbl 1302.60032
Huang, Mei Ling; Coia, Vincenzo; Brill, Percy
1
2013
Analysis of risk models using a level crossing technique. Zbl 1284.91210
Brill, Percy H.; Yu, Kaiqi
4
2011
A method for obtaining Laplace transforms of order statistics of Erlang random variables. Zbl 1177.62067
Hlynka, M.; Brill, P. H.; Horn, W.
2
2010
Note on a series for M/G/1 queues. Zbl 1169.90336
Brill, Percy H.
1
2009
Note on an \(\langle s,S\rangle\) inventory system with decay. Zbl 1229.90008
Brill, P. H.; Huang, M. L.; Hlynka, M.
1
2009
Level crossing methods in stochastic models. Zbl 1157.60003
Brill, Percy H.
22
2008
Waiting-time distribution of \(M/D_{N}/1\) queues through numerical Laplace inversion. Zbl 1241.90038
Shortle, John F.; Fischer, Martin J.; Brill, Percy H.
3
2007
Nonhomogeneous geometric distributions with relations to birth and death processes. Zbl 1137.60305
Mandelbaum, Marvin; Hlynka, Myron; Brill, Percy H.
2
2007
An \(M/G/1\) retrial queue with balking and retrials during service. Zbl 1100.90015
Wu, Xiaoyong; Brill, Percy; Hlynka, Myron; Wang, Jinting
8
2005
Analytical distribution of waiting time in the M/{iD}/1 queue. Zbl 1085.60071
Shortle, John F.; Brill, Percy H.
3
2005
An algorithm to compute the waiting time distribution for the \(M/G/1\) queue. Zbl 1239.90033
Shortle, John F.; Brill, Percy H.; Fischer, Martin J.; Gross, Donald; Masi, Denise M. B.
12
2004
A distribution estimation method based on level crossings. Zbl 1094.62047
Huang, M. L.; Brill, P. H.
7
2004
On estimation in \(M/G/c/c\) queues. Zbl 1004.90020
Huang, Mei Ling; Brill, Percy
8
2001
A nonparametric regression method. Zbl 1042.62535
Huang, M. L.; Brill, P. H.
2
2001
Internet-type queues with power-tailed interarrival times and computational methods for their analysis. Zbl 1238.68035
Harris, Carl M.; Brill, Percy H.; Fischer, Martin J.
8
2000
An exponential queue with competition for service. Zbl 0976.90021
Brill, P. H.; Hlynka, M.
2
2000
A level crossing quantile estimation method. Zbl 0951.62026
Huang, Mei Ling; Brill, Percy
4
1999
A single server \(N\)-line queue in which a customer may receive special treatment. Zbl 0910.60066
Brill, P. H.; Hlynka, M.
2
1998
A level crossing density estimation method. Zbl 1127.62325
Huang, Mei Ling; Brill, Percy
2
1997
An EOQ model with random variations in demand. Zbl 0843.90035
Brill, Percy H.; Chaouch, Ben A.
7
1995
Analysis of net inventory in continuous review models with random lead time. Zbl 0768.90013
Azoury, Katy S.; Brill, Percy H.
5
1992
Waiting times for \(M/G/1\) queues with service-time or delay-dependent server vacations. Zbl 0754.60104
Brill, P. H.; Harris, C. M.
1
1992
Single-server queues with delay-dependent arrival streams. Zbl 1134.60388
Brill, P. H.
5
1988
An application of the system-point method to inventory models under continuous review. Zbl 0615.90037
Azoury, K.; Brill, P. H.
4
1986
Queues in which customers receive simultaneous service from a random number of servers: a system point approach. Zbl 0579.60094
Brill, Percy H.; Green, Linda
10
1984
The system point method in exponential queues: A level crossing approach. Zbl 0497.60089
Brill, P. H.; Posner, M. J. M.
29
1981
A two server queue with nonwaiting customers receiving specialized service. Zbl 0463.60080
Brill, P. H.; Posner, M. J. M.
3
1981
An embedded level crossing technique for dams and queues. Zbl 0396.60091
Brill, P. H.
14
1979
Level crossings in point processes applied to queues: Single-server case. Zbl 0373.60114
Brill, P. H.; Posner, M. J. M.
48
1977
all top 5

Cited by 191 Authors

11 Brill, Percy H.
8 Perry, David
7 Huang, Meiling
7 Ke, Jauchuan
6 Boxma, Onno Johan
5 Chaudhry, Mohan L.
5 Mohebbi, Esmail
5 Posner, Morton J. M.
5 Stadje, Wolfgang
4 Chu, Yunn-Kuang
4 Lee, Wen-Chuan
4 Wu, Jong-Wuu
3 Bae, Jongho
3 Balcıoğlu, Barış
3 Banik, Abhijit Datta
3 Choudhury, Gautam
3 Doshi, Bharat T.
3 Drekic, Steve
3 Fajardo, Val Andrei
3 Hlynka, Myron
3 Kim, James J.
3 Kim, Sunggon
3 Lee, Eui Yong
3 Takine, Tetsuya
2 Adan, Ivo J. B. F.
2 Azoury, Katy S.
2 El-Taha, Muhammad
2 Guo, Pengfei
2 Inoue, Yoshiaki
2 Iravani, Foad
2 Kale, Balvant Keshav
2 Katayama, Tsuyoshi
2 Kharoufeh, Jeffrey P.
2 Lei, Chia-Ling
2 Lillo, Rosa Elvira
2 Löpker, Andreas H.
2 Miyazawa, Masakiyo
2 Ramsay, Colin M.
2 Sherman, Nathan P.
2 Stidham, Shaler jun.
2 Tsai, Hui-Yin
2 Whitt, Ward
2 Wiper, Michael P.
2 Yu, Kaiqi
2 Zacks, Shelemyahu
2 Zazanis, Michael A.
1 Abdelkader, Yousry H.
1 Abramson, Mark A.
1 Afanaseva, Larisa G.
1 Aïssani, Amar
1 Ayesta, Urtzi
1 Badrinath, Vivek
1 Bar-Lev, Shaul K.
1 Barbhuiya, Farida P.
1 Barron, Yonit
1 Bashtova, Elena
1 Berg, Menachem P.
1 Blanke, Delphine
1 Borovkov, Konstantin A.
1 Bosq, Denis
1 Boucherie, Richard J.
1 Buzacott, John Alan
1 Caceres, Hernan
1 Chae, Kyung Chul
1 Chang, Wen-Jui
1 Chaouch, Ben A.
1 Chen, Sheau-Chyi
1 Chiu, Singa Wang
1 Chiu, Yuanshyi Peter
1 Choi, Seung Kyoung
1 David, Israel
1 Ferreira, Fátima
1 Ferschl, Franz
1 Fletcher, G. Y.
1 Fridgeirsdottir, Kristin
1 Frostig, Esther
1 Fujii, Takayuki
1 Gakis, K. G.
1 Gao, Shan
1 Gray, William J.
1 Greenberg, Irwin
1 Grishunina, S. A.
1 Grishunina, Svetlana
1 Guillemin, Fabrice M.
1 Gupta, Umesh C.
1 Gupta, Umesh Chandra
1 Gwiggner, Claus
1 Hao, Daipeng
1 Hathaway, Brett
1 Henze, Norbert
1 Horn, Wayne
1 Hou, Kuo-Lung
1 Hsu, Wen-Kai
1 Jacko, Peter
1 Janczura, Joanna
1 Jayakrishna Udupa, H.
1 Jewkes, Elizabeth M.
1 Jokiel-Rokita, Alicja
1 Karatza, Helen D.
1 Kawanishi, Ken’ichi
...and 91 more Authors
all top 5

Cited in 53 Serials

24 Queueing Systems
14 European Journal of Operational Research
12 Operations Research Letters
9 Probability in the Engineering and Informational Sciences
6 Applied Mathematics and Computation
6 Journal of Applied Probability
6 Annals of Operations Research
6 Applied Mathematical Modelling
5 Stochastic Models
4 Statistics & Probability Letters
4 Communications in Statistics. Theory and Methods
3 Computers & Operations Research
2 Insurance Mathematics & Economics
2 Stochastic Processes and their Applications
2 Top
2 INFORMS Journal on Computing
2 Mathematical Problems in Engineering
2 Methodology and Computing in Applied Probability
2 RAIRO. Operations Research
2 Scandinavian Actuarial Journal
2 Journal of the Korean Statistical Society
2 Journal of Probability and Statistics
1 Advances in Applied Probability
1 International Journal of Systems Science
1 Theory of Probability and its Applications
1 Journal of Computational and Applied Mathematics
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 Naval Research Logistics
1 Operations Research
1 Theoretical Computer Science
1 OR Spektrum
1 Journal of Information & Optimization Sciences
1 Stochastic Analysis and Applications
1 International Journal of Production Research
1 Statistics
1 Computational Statistics
1 Automation and Remote Control
1 Communications in Statistics. Simulation and Computation
1 International Journal of Computer Mathematics
1 Journal of Statistical Computation and Simulation
1 Computational Statistics and Data Analysis
1 Cybernetics and Systems Analysis
1 Applicationes Mathematicae
1 Journal of Mathematical Sciences (New York)
1 International Transactions in Operational Research
1 Journal of Scheduling
1 Statistical Inference for Stochastic Processes
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 AStA. Advances in Statistical Analysis
1 The Annals of Applied Statistics
1 ISRN Probability and Statistics
1 Nonlinear Analysis. Theory, Methods & Applications

Citations by Year