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## Miyazawa, Masakiyo

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 Author ID: miyazawa.masakiyo Published as: Miyazawa, Masakiyo; Miyazawa, M. Homepage: http://www.rs.tus.ac.jp/miyazawa/ External Links: ResearchGate · dblp
 Documents Indexed: 106 Publications since 1976, including 1 Book
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#### Co-Authors

 38 single-authored 9 Yamazaki, Genji 7 Sakuma, Yutaka 6 Kobayashi, Masahiro 5 Chao, Xiuli 5 Dai, J. G. (Jim) 5 Zhao, Yiqiang Q. 4 Schmidt, Volker 4 Takada, Hiroyuki 3 Foss, Sergey G. 3 van Dijk, Nico M. 2 Kella, Offer 2 König, Dieter 2 Latouche, Guy 2 Rolski, Tomasz 2 Sigman, Karl 2 Takahashi, Yoshitaka 2 Wolff, Ronald W. 2 Wu, Jian 1 Aldous, David John 1 Boon, Marko A. A. 1 Boxma, Onno Johan 1 Braverman, Anton 1 Daley, Daryl John 1 Inoie, Atsushi 1 Kawanishi, Ken’ichi 1 Kengaku, Hironobu 1 Kino, Issei 1 Kodera, Tomoyuki 1 Li, Hui 1 Liu, Liming 1 Mizuno, Shinya 1 Nguyend, Giang 1 Nieuwenhuis, Gert 1 Pinedo, Michael L. 1 Sakasegawa, Hirotaka 1 Schassberger, Rolf 1 Serfozo, Richard F. 1 Shanthikumar, Jeyaveerasingam George 1 Shimizu, Hiroshi 1 Taylor, Peter Gerrard 1 Yakahashi, Yoshitaka 1 Yamaguchi, Shuhei 1 Yamashita, Hideaki 1 Zwart, Bert P.
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#### Serials

 22 Journal of Applied Probability 20 Queueing Systems 10 Advances in Applied Probability 7 Journal of the Operations Research Society of Japan 6 Probability in the Engineering and Informational Sciences 6 Stochastic Models 3 Mathematics of Operations Research 3 Operations Research Letters 3 Communications in Statistics. Stochastic Models 3 Stochastic Systems 2 Probability and Mathematical Statistics 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 Top 1 Computers & Mathematics with Applications 1 Journal of Statistical Physics 1 Management Science 1 Mathematische Operationsforschung und Statistik. Series Optimization 1 Operations Research 1 Journal of Applied Mathematics and Stochastic Analysis 1 Annals of Operations Research 1 Markov Processes and Related Fields 1 Journal of Industrial and Management Optimization
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#### Fields

 102 Probability theory and stochastic processes (60-XX) 71 Operations research, mathematical programming (90-XX) 4 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

88 Publications have been cited 611 times in 319 Documents Cited by Year
Queueing networks. Customers, signals, and product form solutions. Zbl 0936.90010
Chao, Xiuli; Miyazawa, Masakiyo; Pinedo, Michael
1999
Tail decay rates in double QBD processes and related reflected random walks. Zbl 1213.60151
Miyazawa, Masakiyo
2009
The stationary tail asymptotics in the $$GI/G/1$$-type queue with countably many background states. Zbl 1136.60366
Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2004
Light tail asymptotics in multidimensional reflecting processes for queueing networks. Zbl 1280.60051
Miyazawa, Masakiyo
2011
Geometric decay in a QBD process with countable background states with applications to a join-the-shortest-queue model. Zbl 1124.60074
Li, Hui; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2007
Reflecting Brownian motion in two dimensions: exact asymptotics for the stationary distribution. Zbl 1291.60168
Dai, Jim G.; Miyazawa, Masakiyo
2011
A Markov renewal approach to $$M/G/1$$ type queues with countably many background states. Zbl 1056.90035
Miyazawa, Masakiyo
2004
Approximation of the queue-length distribution of an M/GI/s queue by the basic equations. Zbl 0599.60084
Miyazawa, Masakiyo
1986
The derivation of invariance relations in complex queueing systems with stationary inputs. Zbl 0535.60086
Miyazawa, Masakiyo
1983
A formal approach to queueing processes in the steady state and their applications. Zbl 0403.60089
Miyazawa, Masakiyo
1979
Rate conservation laws: A survey. Zbl 0803.60092
Miyazawa, Masakiyo
1994
A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps. Zbl 1037.60084
Miyazawa, Masakiyo; Takada, Hiroyuki
2002
Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures. Zbl 1276.60089
Dai, J. G.; Miyazawa, Masakiyo
2013
The intensity conservation law for queues with randomly changed service rate. Zbl 0564.60091
Miyazawa, Masakiyo
1985
Time and customer processes in queues with stationary inputs. Zbl 0365.60106
Miyazawa, Masakiyo
1977
Tail asymptotics for a Lévy-driven tandem queue with an intermediate input. Zbl 1209.90117
Miyazawa, Masakiyo; Rolski, Tomasz
2009
Insensitivity and product-form decomposability of reallocatable GSMP. Zbl 0772.60079
Miyazawa, Masakiyo
1993
A geometric product-form distribution for a queueing network with non-standard batch arrivals and batch transfers. Zbl 0890.60086
Miyazawa, Masakiyo; Taylor, Peter G.
1997
Complementary generating functions for the $$M^ X/GI/1/k$$ and $$GI/M^ Y/1/k$$ queues and their application to the comparison of loss probabilities. Zbl 0718.60107
Miyazawa, Masakiyo
1990
Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Zbl 0793.60100
Miyazawa, Masakiyo
1994
A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queuing processes. Zbl 1005.60094
Miyazawa, Masakiyo
2002
On the effect of finite buffer truncation in a two-node Jackson network. Zbl 1077.60070
Sakuma, Yutaka; Miyazawa, Masakiyo
2005
Tail asymptotics of the stationary distribution of a two-dimensional reflecting random walk with unbounded upward jumps. Zbl 1316.60066
Kobayashi, Masahiro; Miyazawa, Masakiyo
2014
Revisiting the tail asymptotics of the double QBD process: refinement and complete solutions for the coordinate and diagonal directions. Zbl 1280.60044
Kobayashi, Masahiro; Miyazawa, Masakiyo
2013
Decay rate for a PH/M/2 queue with shortest queue discipline. Zbl 1099.60063
Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2006
Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure. Zbl 1115.60092
Miyazawa, Masakiyo; Sakuma, Yutaka; Yamaguchi, Shuhei
2007
Further results on ASTA for general stationary processes and related problems. Zbl 0726.60048
Miyazawa, Masakiyo; Wolff, Ronald W.
1990
On the identification of Poisson arrivals in queues with coinciding time- stationary and customer-stationary state distributions. Zbl 0527.60082
Koenig, Dieter; Miyazawa, Masakiyo; Schmidt, Volker
1983
Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes. Zbl 1296.60249
Miyazawa, Masakiyo; Zwart, Bert
2012
Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050
Latouche, Guy; Miyazawa, Masakiyo
2014
Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach. Zbl 1370.60162
Braverman, Anton; Dai, J. G.; Miyazawa, Masakiyo
2017
The stationary work in system of a $$G/G/1$$ gradual input queue. Zbl 0768.60087
Kino, Issei; Miyazawa, Masakiyo
1993
Evaluating the overflow probability using the infinite queue. Zbl 0792.60095
Sakasegawa, Hirotaka; Miyazawa, Masakiyo; Yamazaki, Genji
1993
Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks. Zbl 1107.90320
Miyazawa, Masakiyo
2003
A generalized Pollaczek-Khinchine formula for the GI/GI/1/K queue and its application to approximation. Zbl 0619.60092
Miyazawa, M.
1987
Rate conservation principle for discrete-time queues. Zbl 0811.60078
Miyazawa, Masakiyo; Takahashi, Yoshitaka
1992
Diffusion approximation for stationary analysis of queues and their networks: a review. Zbl 1367.90042
Miyazawa, Masakiyo
2015
A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process. Zbl 1334.60200
Miyazawa, Masakiyo
2015
On ladder height distributions of general risk processes. Zbl 0780.60099
Miyazawa, Masakiyo; Schmidt, Volker
1993
Time-dependent rate conservation laws for a process defined with a stationary marked point process and their applications. Zbl 0795.60033
Miyazawa, Masakiyo
1994
Palm calculus for a process with a stationary random measure and its applications to fluid queues. Zbl 0817.60053
Miyazawa, Masakiyo
1994
Stochastic order relations among GI/G/1 queues with a common traffic intensity. Zbl 0402.60095
Miyazawa, Masakiyo
1976
Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes. Zbl 1057.60073
Miyazawa, Masakiyo
2004
Parallel fluid queues with constant inflows and simultaneous random reductions. Zbl 0991.60091
Kella, Offer; Miyazawa, Masakiyo
2001
Monotonicity of the loss probabilities of single server finite queues with respect to convex order of arrival or service processes. Zbl 1134.60402
Miyazawa, Masakiyo; Shanthikumar, J. George
1991
Tail asymptotics of the occupation measure for a Markov additive process with an $$M/G/1$$-type background process. Zbl 1221.60132
Kobayashi, Masahiro; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2010
Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Zbl 0959.60083
Chao, Xiuli; Miyazawa, Masakiyo
2000
On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. Zbl 0754.60115
Miyazawa, Masakiyo
1992
Relationships in stationary jump processes with countable state space and their applications to queues. Zbl 0757.60097
Miyazawa, Masakiyo; Yamazaki, Genji
1992
Markov network processes with product form stationary distributions. Zbl 0913.90104
Chao, X.; Miyazawa, M.; Serfozo, R. F.; Takada, H.
1998
A multi-dimensional SRBM: geometric views of its product form stationary distribution. Zbl 1323.60111
Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian
2014
Loss probability of a burst arrival finite queue with synchronized service. Zbl 1134.60403
Miyazawa, Masakiyo; Yamazaki, Genji
1992
Comparison of the loss probability of the $$GI^ X/GI/1/k$$ queues with a common traffic intensity. Zbl 0705.60087
Miyazawa, Masakiyo
1989
The equality of the workload and total attained waiting time in average. Zbl 0728.60087
Yamazaki, Genji; Miyazawa, Masakiyo
1991
Martingale approach for tail asymptotic problems in the generalized Jackson network. Zbl 1393.60109
Miyazawa, Masakiyo
2017
Note on generalizations of Mecke’s formula and extensions of $$H=\lambda G$$. Zbl 0820.60033
Miyazawa, Masakiyo
1995
On the structure of an insensitive generalized semi-Markov process with reallocation and point-process input. Zbl 0823.60089
Miyazawa, Masakiyo; Schassberger, Rolf; Schmidt, Volker
1995
Relationship between queue length and waiting time in a stationary discrete-time queue. Zbl 0832.60086
Yakahashi, Yoshitaka; Miyazawa, Masakiyo
1995
On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Zbl 0822.60081
Miyazawa, Masakiyo
1994
Decomposability in queues with background states. Zbl 0847.60079
Yamazaki, Genji; Miyazawa, Masakiyo
1995
A paradigm of Markov additive processes for queues and their networks. Zbl 1162.90403
Miyazawa, Masakiyo
2002
A Markov modulated fluid queue with batch arrivals and preemptions. Zbl 1022.60085
Takada, Hiroyuki; Miyazawa, Masakiyo
2002
Structure-reversibility and departure functions of queueing networks with batch movements and state dependent routing. Zbl 0894.60083
Miyazawa, Masakiyo
1997
Error bounds on a practical approximation for finite tandem queues. Zbl 0892.90084
van Dijk, Nico M.; Miyazawa, Masakiyo
1997
The basic equations for a supplemented GSMP and its applications to queues. Zbl 0662.60079
Miyazawa, Masakiyo; Yamazaki, Genji
1988
On truncation properties of finite-buffer queues and queueing networks. Zbl 0979.60091
Chao, Xiuli; Miyazawa, Masakiyo
2000
Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Zbl 0511.60044
Miyazawa, Masakiyo
1981
Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120
Foss, Sergey; Miyazawa, Masakiyo
2014
A note on bounds and error bounds for nonexponential batch arrival systems. Zbl 1096.90516
Miyazawa, Masakiyo; van Dijk, Nico M.
1997
Tail asymptotics for waiting time distribution of an $$M/M/s$$ queue with general impatient time. Zbl 1231.60103
Sakuma, Yutaka; Inoie, Atsushi; Kawanishi, Ken’ichi; Miyazawa, Masakiyo
2011
Queue-length balance equations in multiclass multiserver queues and their generalizations. Zbl 1382.60114
Boon, Marko A. A.; Boxma, Onno J.; Kella, Offer; Miyazawa, Masakiyo
2017
A unified approach for large queue asymptotics in a heterogeneous multiserver queue. Zbl 1425.60078
Miyazawa, Masakiyo
2017
Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM. Zbl 1275.60064
Miyazawa, Masakiyo; Kobayashi, Masahiro
2011
Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Zbl 0803.60095
Takahashi, Yoshitaka; Miyazawa, Masakiyo
1994
Symmetric queues with batch departures and their networks. Zbl 0845.60091
Miyazawa, Masakiyo; Wolff, Ronald W.
1996
Stability of discrete-time Jackson networks with batch movements. Zbl 0856.60095
Miyazawa, Masakiyo
1996
A regenerative cycle approach to an M/G/1 queue with exceptional service. Zbl 1001.60093
Kengaku, Hironobu; Miyazawa, Masakiyo
2000
An $$M/G/1$$ queue with Markov-dependent exceptional service times. Zbl 1049.90017
Kodera, Tomoyuki; Miyazawa, Masakiyo
2002
Error bounds for perturbing nonexponential queues. Zbl 1082.60091
van Dijk, Nico M.; Miyazawa, Masakiyo
2004
The characterization of the stationary distribution of the supplemented self-clocking jump process. Zbl 0742.60101
Miyazawa, Masakiyo
1991
Moments in infinite channel queues. Zbl 0782.60067
Yamazaki, Genji; Sigman, Karl; Miyazawa, Masakiyo
1992
Geometric product form queueing networks with concurrent batch movements. Zbl 0936.60084
Yamashita, Hideaki; Miyazawa, Masakiyo
1998
Simple derivations of the invariance relations and their applications. Zbl 0482.60090
Miyazawa, Masakiyo
1982
Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Zbl 1191.60105
Sakuma, Yutaka; Miyazawa, Masakiyo
2010
Decomposable stationary distribution of a multidimensional SRBM. Zbl 1325.60132
Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian
2015
Relationships and decomposition in the delayed Bernoulli feedback queueing system. Zbl 0642.60079
König, D.; Miyazawa, M.
1988
Geometric decay in level-expanding QBD models. Zbl 1152.60073
Liu, Liming; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2008
Palm calculus, reallocatable GSMP and insensitivity structure. Zbl 1231.60043
Miyazawa, Masakiyo
2011
Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach. Zbl 1370.60162
Braverman, Anton; Dai, J. G.; Miyazawa, Masakiyo
2017
Martingale approach for tail asymptotic problems in the generalized Jackson network. Zbl 1393.60109
Miyazawa, Masakiyo
2017
Queue-length balance equations in multiclass multiserver queues and their generalizations. Zbl 1382.60114
Boon, Marko A. A.; Boxma, Onno J.; Kella, Offer; Miyazawa, Masakiyo
2017
A unified approach for large queue asymptotics in a heterogeneous multiserver queue. Zbl 1425.60078
Miyazawa, Masakiyo
2017
Diffusion approximation for stationary analysis of queues and their networks: a review. Zbl 1367.90042
Miyazawa, Masakiyo
2015
A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process. Zbl 1334.60200
Miyazawa, Masakiyo
2015
Decomposable stationary distribution of a multidimensional SRBM. Zbl 1325.60132
Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian
2015
Tail asymptotics of the stationary distribution of a two-dimensional reflecting random walk with unbounded upward jumps. Zbl 1316.60066
Kobayashi, Masahiro; Miyazawa, Masakiyo
2014
Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050
Latouche, Guy; Miyazawa, Masakiyo
2014
A multi-dimensional SRBM: geometric views of its product form stationary distribution. Zbl 1323.60111
Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian
2014
Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120
Foss, Sergey; Miyazawa, Masakiyo
2014
Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures. Zbl 1276.60089
Dai, J. G.; Miyazawa, Masakiyo
2013
Revisiting the tail asymptotics of the double QBD process: refinement and complete solutions for the coordinate and diagonal directions. Zbl 1280.60044
Kobayashi, Masahiro; Miyazawa, Masakiyo
2013
Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes. Zbl 1296.60249
Miyazawa, Masakiyo; Zwart, Bert
2012
Light tail asymptotics in multidimensional reflecting processes for queueing networks. Zbl 1280.60051
Miyazawa, Masakiyo
2011
Reflecting Brownian motion in two dimensions: exact asymptotics for the stationary distribution. Zbl 1291.60168
Dai, Jim G.; Miyazawa, Masakiyo
2011
Tail asymptotics for waiting time distribution of an $$M/M/s$$ queue with general impatient time. Zbl 1231.60103
Sakuma, Yutaka; Inoie, Atsushi; Kawanishi, Ken&rsquo;ichi; Miyazawa, Masakiyo
2011
Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM. Zbl 1275.60064
Miyazawa, Masakiyo; Kobayashi, Masahiro
2011
Palm calculus, reallocatable GSMP and insensitivity structure. Zbl 1231.60043
Miyazawa, Masakiyo
2011
Tail asymptotics of the occupation measure for a Markov additive process with an $$M/G/1$$-type background process. Zbl 1221.60132
Kobayashi, Masahiro; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2010
Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Zbl 1191.60105
Sakuma, Yutaka; Miyazawa, Masakiyo
2010
Tail decay rates in double QBD processes and related reflected random walks. Zbl 1213.60151
Miyazawa, Masakiyo
2009
Tail asymptotics for a Lévy-driven tandem queue with an intermediate input. Zbl 1209.90117
Miyazawa, Masakiyo; Rolski, Tomasz
2009
Geometric decay in level-expanding QBD models. Zbl 1152.60073
Liu, Liming; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2008
Geometric decay in a QBD process with countable background states with applications to a join-the-shortest-queue model. Zbl 1124.60074
Li, Hui; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2007
Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure. Zbl 1115.60092
Miyazawa, Masakiyo; Sakuma, Yutaka; Yamaguchi, Shuhei
2007
Decay rate for a PH/M/2 queue with shortest queue discipline. Zbl 1099.60063
Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2006
On the effect of finite buffer truncation in a two-node Jackson network. Zbl 1077.60070
Sakuma, Yutaka; Miyazawa, Masakiyo
2005
The stationary tail asymptotics in the $$GI/G/1$$-type queue with countably many background states. Zbl 1136.60366
Miyazawa, Masakiyo; Zhao, Yiqiang Q.
2004
A Markov renewal approach to $$M/G/1$$ type queues with countably many background states. Zbl 1056.90035
Miyazawa, Masakiyo
2004
Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes. Zbl 1057.60073
Miyazawa, Masakiyo
2004
Error bounds for perturbing nonexponential queues. Zbl 1082.60091
van Dijk, Nico M.; Miyazawa, Masakiyo
2004
Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks. Zbl 1107.90320
Miyazawa, Masakiyo
2003
A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps. Zbl 1037.60084
Miyazawa, Masakiyo; Takada, Hiroyuki
2002
A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queuing processes. Zbl 1005.60094
Miyazawa, Masakiyo
2002
A paradigm of Markov additive processes for queues and their networks. Zbl 1162.90403
Miyazawa, Masakiyo
2002
A Markov modulated fluid queue with batch arrivals and preemptions. Zbl 1022.60085
Takada, Hiroyuki; Miyazawa, Masakiyo
2002
An $$M/G/1$$ queue with Markov-dependent exceptional service times. Zbl 1049.90017
Kodera, Tomoyuki; Miyazawa, Masakiyo
2002
Parallel fluid queues with constant inflows and simultaneous random reductions. Zbl 0991.60091
Kella, Offer; Miyazawa, Masakiyo
2001
Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Zbl 0959.60083
Chao, Xiuli; Miyazawa, Masakiyo
2000
On truncation properties of finite-buffer queues and queueing networks. Zbl 0979.60091
Chao, Xiuli; Miyazawa, Masakiyo
2000
A regenerative cycle approach to an M/G/1 queue with exceptional service. Zbl 1001.60093
Kengaku, Hironobu; Miyazawa, Masakiyo
2000
Queueing networks. Customers, signals, and product form solutions. Zbl 0936.90010
Chao, Xiuli; Miyazawa, Masakiyo; Pinedo, Michael
1999
Markov network processes with product form stationary distributions. Zbl 0913.90104
Chao, X.; Miyazawa, M.; Serfozo, R. F.; Takada, H.
1998
Geometric product form queueing networks with concurrent batch movements. Zbl 0936.60084
Yamashita, Hideaki; Miyazawa, Masakiyo
1998
A geometric product-form distribution for a queueing network with non-standard batch arrivals and batch transfers. Zbl 0890.60086
Miyazawa, Masakiyo; Taylor, Peter G.
1997
Structure-reversibility and departure functions of queueing networks with batch movements and state dependent routing. Zbl 0894.60083
Miyazawa, Masakiyo
1997
Error bounds on a practical approximation for finite tandem queues. Zbl 0892.90084
van Dijk, Nico M.; Miyazawa, Masakiyo
1997
A note on bounds and error bounds for nonexponential batch arrival systems. Zbl 1096.90516
Miyazawa, Masakiyo; van Dijk, Nico M.
1997
Symmetric queues with batch departures and their networks. Zbl 0845.60091
Miyazawa, Masakiyo; Wolff, Ronald W.
1996
Stability of discrete-time Jackson networks with batch movements. Zbl 0856.60095
Miyazawa, Masakiyo
1996
Note on generalizations of Mecke’s formula and extensions of $$H=\lambda G$$. Zbl 0820.60033
Miyazawa, Masakiyo
1995
On the structure of an insensitive generalized semi-Markov process with reallocation and point-process input. Zbl 0823.60089
Miyazawa, Masakiyo; Schassberger, Rolf; Schmidt, Volker
1995
Relationship between queue length and waiting time in a stationary discrete-time queue. Zbl 0832.60086
Yakahashi, Yoshitaka; Miyazawa, Masakiyo
1995
Decomposability in queues with background states. Zbl 0847.60079
Yamazaki, Genji; Miyazawa, Masakiyo
1995
Rate conservation laws: A survey. Zbl 0803.60092
Miyazawa, Masakiyo
1994
Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Zbl 0793.60100
Miyazawa, Masakiyo
1994
Time-dependent rate conservation laws for a process defined with a stationary marked point process and their applications. Zbl 0795.60033
Miyazawa, Masakiyo
1994
Palm calculus for a process with a stationary random measure and its applications to fluid queues. Zbl 0817.60053
Miyazawa, Masakiyo
1994
On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Zbl 0822.60081
Miyazawa, Masakiyo
1994
Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Zbl 0803.60095
Takahashi, Yoshitaka; Miyazawa, Masakiyo
1994
Insensitivity and product-form decomposability of reallocatable GSMP. Zbl 0772.60079
Miyazawa, Masakiyo
1993
The stationary work in system of a $$G/G/1$$ gradual input queue. Zbl 0768.60087
Kino, Issei; Miyazawa, Masakiyo
1993
Evaluating the overflow probability using the infinite queue. Zbl 0792.60095
Sakasegawa, Hirotaka; Miyazawa, Masakiyo; Yamazaki, Genji
1993
On ladder height distributions of general risk processes. Zbl 0780.60099
Miyazawa, Masakiyo; Schmidt, Volker
1993
Rate conservation principle for discrete-time queues. Zbl 0811.60078
Miyazawa, Masakiyo; Takahashi, Yoshitaka
1992
On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. Zbl 0754.60115
Miyazawa, Masakiyo
1992
Relationships in stationary jump processes with countable state space and their applications to queues. Zbl 0757.60097
Miyazawa, Masakiyo; Yamazaki, Genji
1992
Loss probability of a burst arrival finite queue with synchronized service. Zbl 1134.60403
Miyazawa, Masakiyo; Yamazaki, Genji
1992
Moments in infinite channel queues. Zbl 0782.60067
Yamazaki, Genji; Sigman, Karl; Miyazawa, Masakiyo
1992
Monotonicity of the loss probabilities of single server finite queues with respect to convex order of arrival or service processes. Zbl 1134.60402
Miyazawa, Masakiyo; Shanthikumar, J. George
1991
The equality of the workload and total attained waiting time in average. Zbl 0728.60087
Yamazaki, Genji; Miyazawa, Masakiyo
1991
The characterization of the stationary distribution of the supplemented self-clocking jump process. Zbl 0742.60101
Miyazawa, Masakiyo
1991
Complementary generating functions for the $$M^ X/GI/1/k$$ and $$GI/M^ Y/1/k$$ queues and their application to the comparison of loss probabilities. Zbl 0718.60107
Miyazawa, Masakiyo
1990
Further results on ASTA for general stationary processes and related problems. Zbl 0726.60048
Miyazawa, Masakiyo; Wolff, Ronald W.
1990
Comparison of the loss probability of the $$GI^ X/GI/1/k$$ queues with a common traffic intensity. Zbl 0705.60087
Miyazawa, Masakiyo
1989
The basic equations for a supplemented GSMP and its applications to queues. Zbl 0662.60079
Miyazawa, Masakiyo; Yamazaki, Genji
1988
Relationships and decomposition in the delayed Bernoulli feedback queueing system. Zbl 0642.60079
König, D.; Miyazawa, M.
1988
A generalized Pollaczek-Khinchine formula for the GI/GI/1/K queue and its application to approximation. Zbl 0619.60092
Miyazawa, M.
1987
Approximation of the queue-length distribution of an M/GI/s queue by the basic equations. Zbl 0599.60084
Miyazawa, Masakiyo
1986
The intensity conservation law for queues with randomly changed service rate. Zbl 0564.60091
Miyazawa, Masakiyo
1985
The derivation of invariance relations in complex queueing systems with stationary inputs. Zbl 0535.60086
Miyazawa, Masakiyo
1983
On the identification of Poisson arrivals in queues with coinciding time- stationary and customer-stationary state distributions. Zbl 0527.60082
Koenig, Dieter; Miyazawa, Masakiyo; Schmidt, Volker
1983
Simple derivations of the invariance relations and their applications. Zbl 0482.60090
Miyazawa, Masakiyo
1982
Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Zbl 0511.60044
Miyazawa, Masakiyo
1981
A formal approach to queueing processes in the steady state and their applications. Zbl 0403.60089
Miyazawa, Masakiyo
1979
Time and customer processes in queues with stationary inputs. Zbl 0365.60106
Miyazawa, Masakiyo
1977
Stochastic order relations among GI/G/1 queues with a common traffic intensity. Zbl 0402.60095
Miyazawa, Masakiyo
1976
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#### Cited by 366 Authors

 40 Miyazawa, Masakiyo 17 Zhao, Yiqiang Q. 10 Yamazaki, Genji 9 Schmidt, Volker 8 Bini, Dario Andrea 8 Li, Hui 7 Sakuma, Yutaka 6 Adan, Ivo J. B. F. 6 Kobayashi, Masahiro 6 Massei, Stefano 6 Rolski, Tomasz 6 Sigman, Karl 5 Boxma, Onno Johan 5 Daduna, Hans 5 Economou, Antonis 5 Guillemin, Fabrice M. 5 Whitt, Ward 5 Zazanis, Michael A. 5 Zwart, Bert P. 4 Abramov, Vyacheslav M. 4 Boucherie, Richard J. 4 Dai, J. G. (Jim) 4 El-Taha, Muhammad 4 Kapodistria, Stella 4 Kulkarni, Vidyadhar G. 4 Lian, Zhaotong 4 Masuyama, Hiroyuki 4 Meini, Beatrice 4 Palmowski, Zbigniew 4 Robol, Leonardo 4 Stidham, Shaler jun. 4 Taylor, Peter Gerrard 4 van Dijk, Nico M. 4 van Leeuwaarden, Johan S. H. 3 Artalejo, Jesus R. 3 Asmussen, Søren 3 Atencia, Ivan 3 Chen, Yanting 3 Cheung, Eric C. K. 3 Daley, Daryl John 3 Foley, Robert D. 3 Fourneau, Jean-Michel 3 Glynn, Peter W. 3 Goseling, Jasper 3 He, Qi-Ming 3 Hu, Lu 3 Ivanovs, Jevgeņijs 3 Jiang, Yangsheng 3 Kella, Offer 3 Khanchi, Aziz 3 Kim, Bara 3 Kim, Jeongsim 3 Kim, Nam-Ki 3 König, Dieter 3 Kumar, B. Krishna 3 Latouche, Guy 3 Liu, Liming 3 Mandjes, Michel Robertus Hendrikus 3 Marin, Andrea 3 Mazumdar, Ravi R. 3 Ozawa, Toshihisa 3 Takine, Tetsuya 3 Wang, Jinting 3 Xie, Jingui 3 Zhu, Juanxiu 2 Ahn, Soohan 2 Bruneel, Herwig 2 Chae, Kyung Chul 2 Chao, Xiuli 2 Chen, Yanru 2 Dao-Thi, Thu-Ha 2 de la Cruz, Nha-Nghi 2 Fakinos, Demetrios 2 Foss, Sergey G. 2 Franceschi, Sandro 2 Frey, Andreas 2 Gelenbe, Sami Erol 2 Gupta, Varun 2 Hou, Zhenting 2 Ishizaki, Fumio 2 Jiang, Tao 2 Katayama, Tsuyoshi 2 Kimura, Tatsuaki 2 Kimura, Toshikazu 2 Knessl, Charles 2 Kovalenko, Igor Mykolaĭovych 2 Li, Quanlin 2 Macgregor Smith, J. 2 Madheswari, S. Pavai 2 Mairesse, Jean 2 McDonald, David R. 2 Miao, Daniel Wei-Chung 2 Perry, David 2 Pinedo, Michael L. 2 Raschel, Kilian 2 Serfozo, Richard F. 2 Sezer, Ali Devin 2 Shi, Dinghua 2 Song, Yang 2 Takahashi, Yoshitaka ...and 266 more Authors
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#### Cited in 73 Serials

 77 Queueing Systems 20 Stochastic Models 17 Operations Research Letters 14 Stochastic Processes and their Applications 13 Journal of Applied Probability 13 Annals of Operations Research 13 European Journal of Operational Research 11 Probability in the Engineering and Informational Sciences 8 Advances in Applied Probability 7 Mathematical and Computer Modelling 7 Top 5 Applied Mathematical Modelling 5 Stochastic Systems 4 Computers & Mathematics with Applications 4 Annals of the Institute of Statistical Mathematics 4 Stochastic Analysis and Applications 4 Methodology and Computing in Applied Probability 3 Applied Mathematics and Computation 3 Insurance Mathematics & Economics 3 Computers & Operations Research 3 Discrete Event Dynamic Systems 3 Mathematical Methods of Operations Research 3 Journal of Industrial and Management Optimization 3 Journal of the Korean Statistical Society 2 Journal of Soviet Mathematics 2 Operations Research 2 Opsearch 2 Theoretical Computer Science 2 Statistics & Probability Letters 2 Acta Applicandae Mathematicae 2 Optimization 2 Asia-Pacific Journal of Operational Research 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Numerical Algorithms 2 Automation and Remote Control 2 Linear Algebra and its Applications 2 International Journal of Applied Mathematics and Computer Science 2 RAIRO. Operations Research 2 Frontiers of Mathematics in China 2 Operational Research. An International Journal 2 Journal of the Operations Research Society of China 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Problems of Information Transmission 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Journal of Statistical Planning and Inference 1 Mathematics of Operations Research 1 Numerische Mathematik 1 Statistica Neerlandica 1 Probability and Mathematical Statistics 1 Applied Numerical Mathematics 1 Statistical Science 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Applied Mathematics and Stochastic Analysis 1 Multidimensional Systems and Signal Processing 1 International Journal of Computer Mathematics 1 SIAM Review 1 Cybernetics and Systems Analysis 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Bernoulli 1 ACM Transactions on Modeling and Computer Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Applied Mathematics and Decision Sciences 1 North American Actuarial Journal 1 Networks and Spatial Economics 1 Applications and Applied Mathematics 1 East Asian Mathematical Journal 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 International Journal of Applied and Computational Mathematics
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#### Cited in 21 Fields

 258 Probability theory and stochastic processes (60-XX) 215 Operations research, mathematical programming (90-XX) 24 Computer science (68-XX) 14 Numerical analysis (65-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistics (62-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)