# zbMATH — the first resource for mathematics

## Massey, William A.

Compute Distance To:
 Author ID: massey.william-a Published as: Massey, W. A.; Massey, William A. External Links: MGP · Wikidata
 Documents Indexed: 41 Publications since 1978
all top 5

#### Co-Authors

 9 single-authored 13 Whitt, Ward 4 Hampshire, Robert C. 4 Mandelbaum, Avi 3 Baccelli, François Louis 3 Pender, Jamol 2 Eick, Stephen G. 2 Jennings, Otis B. 2 Wang, Qiong 1 Davis, Jimmie L. 1 Dean, Nathaniel 1 Duffield, Nick G. 1 Feldman, Zohar 1 Goodman, Jonathan B. 1 Harchol-Balter, Mor 1 Kelmans, Alexander K. 1 Lanning, Steve G. 1 Lih, Keh-Wei 1 Morrison, John A. 1 Raphael, Derrick 1 Reiman, Martin I. 1 Srinivasan, Raj 1 Srinivasan, Rengarajan 1 Towsley, Donald Fred 1 Walker, Erica N. 1 Winkler, Peter M. 1 Wright, Paul E.
all top 5

#### Serials

 7 Queueing Systems 5 Journal of Applied Probability 4 Management Science 4 Mathematics of Operations Research 3 Probability in the Engineering and Informational Sciences 2 Operations Research 2 The Annals of Applied Probability 1 Advances in Applied Probability 1 Bell System Technical Journal 1 Journal of the Association for Computing Machinery 1 Theoretical Computer Science 1 Performance Evaluation 1 Statistics & Probability Letters 1
all top 5

#### Fields

 32 Probability theory and stochastic processes (60-XX) 26 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

35 Publications have been cited 617 times in 345 Documents Cited by Year
Strong approximation for Markovian service networks. Zbl 0911.90167
Mandelbaum, Avi; Massey, William A.; Reiman, Martin I.
1998
Strong approximations for time-dependent queues. Zbl 0834.60096
Mandelbaum, Avi; Massey, William A.
1995
Networks of infinite-server queues with nonstationary Poisson input. Zbl 0778.60068
Massey, William A.; Whitt, Ward
1993
The physics of the $$M_ t/G/\infty$$ queue. Zbl 0781.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
1993
Server staffing to meet time-varying demand. Zbl 0880.90052
Jennings, Otis B.; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
1996
Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275
Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
2008
Stochastic orderings for Markov processes on partially ordered spaces. Zbl 0622.60098
Massey, William A.
1987
$$M_ t/G/\infty$$ queues with sinusoidal arrival rates. Zbl 0773.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
1993
Uniform acceleration expansions for Markov chains with time-varying rates. Zbl 0937.60066
Massey, William A.; Whitt, Ward
1998
Gaussian skewness approximation for dynamic rate multi-server queues with abandonment. Zbl 1285.60091
Massey, William A.; Pender, Jamol
2013
An analysis of the modified offered-load approximation for the nonstationary Erlang loss model. Zbl 0812.60082
Massey, William A.; Whitt, Ward
1994
Asymptotic analysis of the time dependent M/M/1 queue. Zbl 0567.60089
Massey, William A.
1985
Acyclic fork-join queueing networks. Zbl 0675.90033
Baccelli, François; Massey, William A.; Towsley, Don
1989
Unstable asymptotics for nonstationary queues. Zbl 0801.60087
Massey, William A.; Whitt, Ward
1994
A probabilistic generalization of Taylor’s theorem. Zbl 0765.60032
Massey, William A.; Whitt, Ward
1993
Approximating and stabilizing dynamic rate Jackson networks with abandonment. Zbl 1370.60178
Pender, Jamol; Massey, William A.
2017
Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates. Zbl 1117.60083
Hampshire, Robert C.; Harchol-Balter, Mor; Massey, William A.
2006
The non-ergodic Jackson network. Zbl 0562.60096
Goodman, Jonathan B.; Massey, William A.
1984
Sensitivity to the service-time distribution in the nonstationary Erlang loss model. Zbl 0865.60091
Davis, Jimmie L.; Massey, William A.; Whitt, Ward
1995
A sample path analysis of the M/M/1 queue. Zbl 0683.60070
Baccelli, François; Massey, William A.
1989
A time-varying call center design via Lagrangian mechanics. Zbl 1173.90362
Hampshire, Robert C.; Jennings, Otis B.; Massey, William A.
2009
Peak congestion in multi-server service systems with slowly varying arrival rates. Zbl 0878.90044
Massey, William A.; Whitt, Ward
1997
Dynamic pricing to control loss systems with quality of service targets. Zbl 1173.90363
Hampshire, Robert C.; Massey, William A.; Wang, Qiong
2009
Stationary-process approximations for the nonstationary Erlang loss model. Zbl 0879.90099
Massey, William A.; Whitt, Ward
1996
A nonstationary offered-load model for packet networks. Zbl 1030.68650
Duffield, N. G.; Massey, W. A.; Whitt, W.
2001
Calculating exit times for series Jackson networks. Zbl 0626.60091
Massey, William A.
1987
An operator-analytic approach to the Jackson network. Zbl 0539.60093
Massey, William A.
1984
Open networks of queues: Their algebraic structure and estimating their transient behavior. Zbl 0528.60093
Massey, William A.
1984
Dynamic rate Erlang-A queues. Zbl 1408.60085
Massey, William A.; Pender, Jamol
2018
Calculation of steady-state probabilities for content of buffer with correlated inputs. Zbl 0389.94026
Massey, W. A.; Morrison, J. A.
1978
A note on the event horizon for a processor sharing queue. Zbl 1162.90395
Hampshire, Robert C.; Massey, William A.
2008
The spanning tree enumerating problem for digraphs. Zbl 0844.05053
Dean, Nathaniel; Kelmans, A. K.; Lih, Keh-Wei; Massey, William A.; Winkler, Peter
1995
Determining the exit time distribution for a closed cyclic network. Zbl 0789.60074
Baccelli, François; Massey, William A.; Wright, Paul E.
1994
Stochastic ordering for Markov processes on partially ordered spaces with applications to queueing networks. Zbl 0760.60088
Massey, William A.
1991
A family of bounds for the transient behavior of a Jackson network. Zbl 0602.60084
Massey, William A.
1986
Dynamic rate Erlang-A queues. Zbl 1408.60085
Massey, William A.; Pender, Jamol
2018
Approximating and stabilizing dynamic rate Jackson networks with abandonment. Zbl 1370.60178
Pender, Jamol; Massey, William A.
2017
Gaussian skewness approximation for dynamic rate multi-server queues with abandonment. Zbl 1285.60091
Massey, William A.; Pender, Jamol
2013
A time-varying call center design via Lagrangian mechanics. Zbl 1173.90362
Hampshire, Robert C.; Jennings, Otis B.; Massey, William A.
2009
Dynamic pricing to control loss systems with quality of service targets. Zbl 1173.90363
Hampshire, Robert C.; Massey, William A.; Wang, Qiong
2009
Staffing of time-varying queues to achieve time-stable performance. Zbl 1232.90275
Feldman, Zohar; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
2008
A note on the event horizon for a processor sharing queue. Zbl 1162.90395
Hampshire, Robert C.; Massey, William A.
2008
Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates. Zbl 1117.60083
Hampshire, Robert C.; Harchol-Balter, Mor; Massey, William A.
2006
A nonstationary offered-load model for packet networks. Zbl 1030.68650
Duffield, N. G.; Massey, W. A.; Whitt, W.
2001
Strong approximation for Markovian service networks. Zbl 0911.90167
Mandelbaum, Avi; Massey, William A.; Reiman, Martin I.
1998
Uniform acceleration expansions for Markov chains with time-varying rates. Zbl 0937.60066
Massey, William A.; Whitt, Ward
1998
Peak congestion in multi-server service systems with slowly varying arrival rates. Zbl 0878.90044
Massey, William A.; Whitt, Ward
1997
Server staffing to meet time-varying demand. Zbl 0880.90052
Jennings, Otis B.; Mandelbaum, Avishai; Massey, William A.; Whitt, Ward
1996
Stationary-process approximations for the nonstationary Erlang loss model. Zbl 0879.90099
Massey, William A.; Whitt, Ward
1996
Strong approximations for time-dependent queues. Zbl 0834.60096
Mandelbaum, Avi; Massey, William A.
1995
Sensitivity to the service-time distribution in the nonstationary Erlang loss model. Zbl 0865.60091
Davis, Jimmie L.; Massey, William A.; Whitt, Ward
1995
The spanning tree enumerating problem for digraphs. Zbl 0844.05053
Dean, Nathaniel; Kelmans, A. K.; Lih, Keh-Wei; Massey, William A.; Winkler, Peter
1995
An analysis of the modified offered-load approximation for the nonstationary Erlang loss model. Zbl 0812.60082
Massey, William A.; Whitt, Ward
1994
Unstable asymptotics for nonstationary queues. Zbl 0801.60087
Massey, William A.; Whitt, Ward
1994
Determining the exit time distribution for a closed cyclic network. Zbl 0789.60074
Baccelli, François; Massey, William A.; Wright, Paul E.
1994
Networks of infinite-server queues with nonstationary Poisson input. Zbl 0778.60068
Massey, William A.; Whitt, Ward
1993
The physics of the $$M_ t/G/\infty$$ queue. Zbl 0781.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
1993
$$M_ t/G/\infty$$ queues with sinusoidal arrival rates. Zbl 0773.60086
Eick, Stephen G.; Massey, William A.; Whitt, Ward
1993
A probabilistic generalization of Taylor’s theorem. Zbl 0765.60032
Massey, William A.; Whitt, Ward
1993
Stochastic ordering for Markov processes on partially ordered spaces with applications to queueing networks. Zbl 0760.60088
Massey, William A.
1991
Acyclic fork-join queueing networks. Zbl 0675.90033
Baccelli, François; Massey, William A.; Towsley, Don
1989
A sample path analysis of the M/M/1 queue. Zbl 0683.60070
Baccelli, François; Massey, William A.
1989
Stochastic orderings for Markov processes on partially ordered spaces. Zbl 0622.60098
Massey, William A.
1987
Calculating exit times for series Jackson networks. Zbl 0626.60091
Massey, William A.
1987
A family of bounds for the transient behavior of a Jackson network. Zbl 0602.60084
Massey, William A.
1986
Asymptotic analysis of the time dependent M/M/1 queue. Zbl 0567.60089
Massey, William A.
1985
The non-ergodic Jackson network. Zbl 0562.60096
Goodman, Jonathan B.; Massey, William A.
1984
An operator-analytic approach to the Jackson network. Zbl 0539.60093
Massey, William A.
1984
Open networks of queues: Their algebraic structure and estimating their transient behavior. Zbl 0528.60093
Massey, William A.
1984
Calculation of steady-state probabilities for content of buffer with correlated inputs. Zbl 0389.94026
Massey, W. A.; Morrison, J. A.
1978
all top 5

#### Cited by 490 Authors

 38 Whitt, Ward 19 Pender, Jamol 13 Liu, Yunan 11 Mandelbaum, Avi 11 Massey, William A. 9 Zeifman, Alexander Izrailevich 7 van Dijk, Nico M. 7 Yin, Gang George 6 Guo, Yongjiang 6 Pang, Guodong 5 Baccelli, François Louis 5 Boucherie, Richard J. 5 Di Crescenzo, Antonio 5 Mandjes, Michel Robertus Hendrikus 5 Momčilović, Petar 5 Ramanan, Kavita 5 Ross, Andrew M. 4 Hampshire, Robert C. 4 Ko, Young Myoung 4 Pekergin, Nihal 4 Rand, Richard H. 4 Satin, Ya. A. 4 Tezcan, Tolga 4 Wesson, Elizabeth N. 3 Atar, Rami 3 Bet, Gianmarco 3 Boxma, Onno Johan 3 Daw, Andrew 3 Gao, Xuefeng 3 Ingolfsson, Armann 3 Korolev, Viktor Yur’evich 3 Lebedev, Eugene O. 3 Lipshutz, David 3 Liu, Liming 3 Ma, Ni 3 Nazarov, Anatoly A. 3 Nguyen, Son Luu 3 Nobile, Amelia G. 3 Puhalskii, Anatolii A. 3 Shanthikumar, Jeyaveerasingam George 3 Templeton, James G. C. 3 Tran, Ky Quan 3 van Leeuwaarden, Johan S. H. 3 Weiss, Gideon 3 Willmot, Gordon E. 3 Worthington, Dave 3 Yin, George Gang 3 Zeltyn, Sergey 3 Zhang, Hanqin 3 Zwart, Bert P. 2 Abramov, Vyacheslav M. 2 Adan, Ivo J. B. F. 2 Adell, José Antonio 2 Ata, Baris 2 Bekker, Rebecca 2 Böhm, Walter 2 Borst, Sem C. 2 Bruneel, Herwig 2 Chao, Xiuli 2 Chen, Hong 2 Chernavskaya, E. A. 2 Daduna, Hans 2 Dai Pra, Paolo 2 Damodaran, Purushothaman 2 Dayar, Tugrul 2 De Bruin, A. M. 2 Delgado, Rosario 2 Foss, Sergey G. 2 Fralix, Brian H. 2 Gaujal, Bruno 2 Giorno, Virginia 2 Glynn, Peter W. 2 Goldberg, David Alan 2 Heidergott, Bernd F. 2 Hulett, Maria 2 Izady, Navid 2 Javier López, F. 2 Jennings, Otis B. 2 Jonckheere, Matthieu 2 Kang, Weining 2 Kelbert, Mark Ya. 2 Knessl, Charles 2 Krishna Kumar, Balasubramanian 2 Leahu, Haralambie 2 Lee, Chihoon 2 Leskelä, Lasse 2 Liu, Ran 2 Löpker, Andreas H. 2 Louis, Pierre-Yves 2 Margolius, Barbara H. 2 Mathijsen, Britt W. J. 2 Minelli, Ida Germana 2 Moiseev, Alexander 2 Motaei, Amir 2 Perros, Harry G. 2 Piunovskiĭ, Alekseĭ Borisovich 2 Rüschendorf, Ludger 2 Sanz, Gerardo 2 Satin, Yacov 2 Sen, Kanwar ...and 390 more Authors
all top 5

#### Cited in 88 Serials

 69 Queueing Systems 25 European Journal of Operational Research 18 Probability in the Engineering and Informational Sciences 16 The Annals of Applied Probability 15 Operations Research Letters 11 Annals of Operations Research 9 Operations Research 9 Stochastic Processes and their Applications 8 Computers & Operations Research 8 Stochastic Models 7 Journal of Applied Probability 6 Statistics & Probability Letters 6 Journal of Mathematical Sciences (New York) 6 INFORMS Journal on Computing 6 Stochastic Systems 5 Advances in Applied Probability 5 Journal of Statistical Planning and Inference 5 Mathematics of Operations Research 5 Automation and Remote Control 5 Methodology and Computing in Applied Probability 5 Stochastics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Discrete Event Dynamic Systems 4 Mathematical Methods of Operations Research 4 OR Spectrum 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 2 The Annals of Probability 2 Kybernetika 2 Theoretical Computer Science 2 Insurance Mathematics & Economics 2 International Journal of Production Research 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Cybernetics and Systems Analysis 2 Applied Stochastic Models in Business and Industry 2 Scandinavian Actuarial Journal 1 Applicable Analysis 1 Mathematical Biosciences 1 Mathematical Notes 1 Problems of Information Transmission 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 Automatica 1 Information Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Journal of Soviet Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Opsearch 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 American Journal of Mathematical and Management Sciences 1 Statistical Science 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Machine Learning 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Lifetime Data Analysis 1 International Transactions in Operational Research 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Journal of Combinatorial Optimization 1 Journal of Scheduling 1 Fractional Calculus & Applied Analysis 1 International Journal of Theoretical and Applied Finance 1 Macroeconomic Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 RAIRO. Operations Research 1 International Game Theory Review 1 Brazilian Journal of Probability and Statistics 1 The ANZIAM Journal 1 Sādhanā 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 ASTIN Bulletin 1 Advances in Difference Equations 1 Journal of Industrial and Management Optimization 1 Frontiers of Mathematics in China 1 The Annals of Applied Statistics 1 Journal of Computational Dynamics
all top 5

#### Cited in 18 Fields

 255 Probability theory and stochastic processes (60-XX) 229 Operations research, mathematical programming (90-XX) 48 Computer science (68-XX) 26 Statistics (62-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Systems theory; control (93-XX) 10 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 5 Biology and other natural sciences (92-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.