Edit Profile (opens in new tab) Miyazawa, Masakiyo Co-Author Distance Author ID: miyazawa.masakiyo Published as: Miyazawa, Masakiyo; Miyazawa, M. Homepage: http://www.rs.tus.ac.jp/miyazawa/ External Links: ResearchGate · dblp Documents Indexed: 111 Publications since 1976, including 1 Book and 4 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 45 Co-Authors with 72 Joint Publications 1,371 Co-Co-Authors all top 5 Co-Authors 41 single-authored 9 Yamazaki, Genji 7 Sakuma, Yutaka 6 Dai, J. G. (Jim) 6 Kobayashi, Masahiro 5 Chao, Xiuli 5 Zhao, Yiqiang Q. 4 Schmidt, Volker 4 Takada, Hiroyuki 3 Foss, Sergey G. 3 van Dijk, Nico M. 2 Braverman, Anton 2 Kella, Offer 2 König, Dieter 2 Latouche, Guy 2 Morozov, Evsey 2 Rolski, Tomasz 2 Sakasegawa, Hirotaka 2 Sigman, Karl 2 Takahashi, Yoshitaka 2 Wolff, Ronald W. 2 Wu, Jian 1 Aldous, David John 1 Baba, Yutaka 1 Boon, Marko A. A. 1 Boxma, Onno Johan 1 Daley, Daryl John 1 Hoshiko, Yukio 1 Inoie, Atsushi 1 Inoue, Takeshi 1 Kawanishi, Ken’ichi 1 Kawashima, Takeshi 1 Kengaku, Hironobu 1 Kimura, Shunichi 1 Kino, Issei 1 Kodera, Tomoyuki 1 Komoda, Yasuo 1 Li, Hui 1 Liu, Liming 1 Makino, Toji 1 Mizuno, Shinya 1 Mori, Masao 1 Nakanishi, Hikaru 1 Nguyend, Giang 1 Nieuwenhuis, Gert 1 Nogami, Shinya 1 Noguchi, Shoichi 1 Okada, Hiromi 1 Ono, Katsuhisa 1 Otsubo, Yoshio 1 Pinedo, Michael L. 1 Sanada, Hidehiko 1 Sato, Tsukasa 1 Schassberger, Rolf 1 Serfozo, Richard F. 1 Shanthikumar, Jeyaveerasingam George 1 Shimizu, Hiroshi 1 Shiratori, Norio 1 Takahashi, Hiroyuki 1 Takahashi, Yukio 1 Taylor, Peter Gerrard 1 Tezuka, Yoshikazu 1 Watanabe, Yu 1 Yakahashi, Yoshitaka 1 Yamaguchi, Shuhei 1 Yamasaki, Genji 1 Yamashita, Hideaki 1 Yoshioka, Yoshio 1 Zwart, Bert P. all top 5 Serials 22 Journal of Applied Probability 22 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 1 RIMS Kokyuroku all top 5 Fields 108 Probability theory and stochastic processes (60-XX) 73 Operations research, mathematical programming (90-XX) 4 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 732 times in 375 Documents Cited by ▼ Year ▼ Queueing networks. Customers, signals, and product form solutions. Zbl 0936.90010 Chao, Xiuli; Miyazawa, Masakiyo; Pinedo, Michael 61 1999 Tail decay rates in double QBD processes and related reflected random walks. Zbl 1213.60151 Miyazawa, Masakiyo 50 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. 40 2004 Light tail asymptotics in multidimensional reflecting processes for queueing networks. Zbl 1280.60051 Miyazawa, Masakiyo 37 2011 Reflecting Brownian motion in two dimensions: exact asymptotics for the stationary distribution. Zbl 1291.60168 Dai, Jim G.; Miyazawa, Masakiyo 35 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. 31 2007 Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures. Zbl 1276.60089 Dai, J. G.; Miyazawa, Masakiyo 21 2013 The derivation of invariance relations in complex queueing systems with stationary inputs. Zbl 0535.60086 Miyazawa, Masakiyo 18 1983 Tail asymptotics for a Lévy-driven tandem queue with an intermediate input. Zbl 1209.90117 Miyazawa, Masakiyo; Rolski, Tomasz 18 2009 A Markov renewal approach to \(M/G/1\) type queues with countably many background states. Zbl 1056.90035 Miyazawa, Masakiyo 18 2004 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 18 2002 Approximation of the queue-length distribution of an M/GI/s queue by the basic equations. Zbl 0599.60084 Miyazawa, Masakiyo 17 1986 A formal approach to queueing processes in the steady state and their applications. Zbl 0403.60089 Miyazawa, Masakiyo 14 1979 Rate conservation laws: A survey. Zbl 0803.60092 Miyazawa, Masakiyo 14 1994 Tail asymptotics of the stationary distribution of a two-dimensional reflecting random walk with unbounded upward jumps. Zbl 1316.60066 Kobayashi, Masahiro; Miyazawa, Masakiyo 14 2014 The intensity conservation law for queues with randomly changed service rate. Zbl 0564.60091 Miyazawa, Masakiyo 13 1985 Time and customer processes in queues with stationary inputs. Zbl 0365.60106 Miyazawa, Masakiyo 12 1977 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. 11 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 11 1990 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 11 2017 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 11 2013 Decay rate for a PH/M/2 queue with shortest queue discipline. Zbl 1099.60063 Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 10 2006 Insensitivity and product-form decomposability of reallocatable GSMP. Zbl 0772.60079 Miyazawa, Masakiyo 10 1993 Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure. Zbl 1115.60092 Miyazawa, Masakiyo; Sakuma, Yutaka; Yamaguchi, Shuhei 9 2007 On the effect of finite buffer truncation in a two-node Jackson network. Zbl 1077.60070 Sakuma, Yutaka; Miyazawa, Masakiyo 9 2005 Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Zbl 0793.60100 Miyazawa, Masakiyo 9 1994 A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queuing processes. Zbl 1005.60094 Miyazawa, Masakiyo 9 2002 Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes. Zbl 1296.60249 Miyazawa, Masakiyo; Zwart, Bert 8 2012 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 8 2015 Further results on ASTA for general stationary processes and related problems. Zbl 0726.60048 Miyazawa, Masakiyo; Wolff, Ronald W. 7 1990 Diffusion approximation for stationary analysis of queues and their networks: a review. Zbl 1367.90042 Miyazawa, Masakiyo 7 2015 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 6 1983 Evaluating the overflow probability using the infinite queue. Zbl 0792.60095 Sakasegawa, Hirotaka; Miyazawa, Masakiyo; Yamazaki, Genji 6 1993 Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050 Latouche, Guy; Miyazawa, Masakiyo 6 2014 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. 6 2010 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 5 1991 A generalized Pollaczek-Khinchine formula for the GI/GI/1/K queue and its application to approximation. Zbl 0619.60092 Miyazawa, M. 5 1987 Rate conservation principle for discrete-time queues. Zbl 0811.60078 Miyazawa, Masakiyo; Takahashi, Yoshitaka 5 1992 The stationary work in system of a \(G/G/1\) gradual input queue. Zbl 0768.60087 Kino, Issei; Miyazawa, Masakiyo 5 1993 Time-dependent rate conservation laws for a process defined with a stationary marked point process and their applications. Zbl 0795.60033 Miyazawa, Masakiyo 5 1994 Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks. Zbl 1107.90320 Miyazawa, Masakiyo 5 2003 Stability condition of a cascade system with a general number of stations. Zbl 1491.90054 Miyazawa, Masakiyo; Morozov, Evsey 5 2022 Parallel fluid queues with constant inflows and simultaneous random reductions. Zbl 0991.60091 Kella, Offer; Miyazawa, Masakiyo 4 2001 Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes. Zbl 1057.60073 Miyazawa, Masakiyo 4 2004 Stochastic order relations among GI/G/1 queues with a common traffic intensity. Zbl 0402.60095 Miyazawa, Masakiyo 4 1976 On ladder height distributions of general risk processes. Zbl 0780.60099 Miyazawa, Masakiyo; Schmidt, Volker 4 1993 Palm calculus for a process with a stationary random measure and its applications to fluid queues. Zbl 0817.60053 Miyazawa, Masakiyo 4 1994 A multi-dimensional SRBM: geometric views of its product form stationary distribution. Zbl 1323.60111 Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 4 2014 Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120 Foss, Sergey; Miyazawa, Masakiyo 4 2014 Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Zbl 0959.60083 Chao, Xiuli; Miyazawa, Masakiyo 3 2000 Relationship between queue length and waiting time in a stationary discrete-time queue. Zbl 0832.60086 Yakahashi, Yoshitaka; Miyazawa, Masakiyo 3 1995 Markov network processes with product form stationary distributions. Zbl 0913.90104 Chao, X.; Miyazawa, M.; Serfozo, R. F.; Takada, H. 3 1998 Loss probability of a burst arrival finite queue with synchronized service. Zbl 1134.60403 Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 Comparison of the loss probability of the \(GI^ X/GI/1/k\) queues with a common traffic intensity. Zbl 0705.60087 Miyazawa, Masakiyo 3 1989 The equality of the workload and total attained waiting time in average. Zbl 0728.60087 Yamazaki, Genji; Miyazawa, Masakiyo 3 1991 On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. Zbl 0754.60115 Miyazawa, Masakiyo 3 1992 Relationships in stationary jump processes with countable state space and their applications to queues. Zbl 0757.60097 Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 Martingale approach for tail asymptotic problems in the generalized Jackson network. Zbl 1393.60109 Miyazawa, Masakiyo 3 2017 A unified approach for large queue asymptotics in a heterogeneous multiserver queue. Zbl 1425.60078 Miyazawa, Masakiyo 3 2017 Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM. Zbl 1275.60064 Miyazawa, Masakiyo; Kobayashi, Masahiro 3 2011 The basic equations for a supplemented GSMP and its applications to queues. Zbl 0662.60079 Miyazawa, Masakiyo; Yamazaki, Genji 2 1988 Geometric decay in level-expanding QBD models. Zbl 1152.60073 Liu, Liming; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 2 2008 Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Zbl 0511.60044 Miyazawa, Masakiyo 2 1981 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 2 1995 Note on generalizations of Mecke’s formula and extensions of \(H=\lambda G\). Zbl 0820.60033 Miyazawa, Masakiyo 2 1995 Decomposability in queues with background states. Zbl 0847.60079 Yamazaki, Genji; Miyazawa, Masakiyo 2 1995 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 2 2011 On truncation properties of finite-buffer queues and queueing networks. Zbl 0979.60091 Chao, Xiuli; Miyazawa, Masakiyo 2 2000 A paradigm of Markov additive processes for queues and their networks. Zbl 1162.90403 Miyazawa, Masakiyo 2 2002 A Markov modulated fluid queue with batch arrivals and preemptions. Zbl 1022.60085 Takada, Hiroyuki; Miyazawa, Masakiyo 2 2002 Error bounds for perturbing nonexponential queues. Zbl 1082.60091 van Dijk, Nico M.; Miyazawa, Masakiyo 2 2004 A note on bounds and error bounds for nonexponential batch arrival systems. Zbl 1096.90516 Miyazawa, Masakiyo; van Dijk, Nico M. 2 1997 Error bounds on a practical approximation for finite tandem queues. Zbl 0892.90084 van Dijk, Nico M.; Miyazawa, Masakiyo 2 1997 Structure-reversibility and departure functions of queueing networks with batch movements and state dependent routing. Zbl 0894.60083 Miyazawa, Masakiyo 2 1997 Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Zbl 0803.60095 Takahashi, Yoshitaka; Miyazawa, Masakiyo 2 1994 On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Zbl 0822.60081 Miyazawa, Masakiyo 2 1994 Relationships and decomposition in the delayed Bernoulli feedback queueing system. Zbl 0642.60079 König, D.; Miyazawa, M. 1 1988 Simple derivations of the invariance relations and their applications. Zbl 0482.60090 Miyazawa, Masakiyo 1 1982 Palm calculus, reallocatable GSMP and insensitivity structure. Zbl 1231.60043 Miyazawa, Masakiyo 1 2011 Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Zbl 1191.60105 Sakuma, Yutaka; Miyazawa, Masakiyo 1 2010 Symmetric queues with batch departures and their networks. Zbl 0845.60091 Miyazawa, Masakiyo; Wolff, Ronald W. 1 1996 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 1 2017 Palm theory for random time changes. Zbl 0984.60063 Miyazawa, Masakiyo; Nieuwenhuis, Gert; Sigman, Karl 1 2001 A regenerative cycle approach to an M/G/1 queue with exceptional service. Zbl 1001.60093 Kengaku, Hironobu; Miyazawa, Masakiyo 1 2000 Geometric product form queueing networks with concurrent batch movements. Zbl 0936.60084 Yamashita, Hideaki; Miyazawa, Masakiyo 1 1998 On quasi-reversibility and local balance: An alternative derivation of the product-form results. Zbl 0987.90021 Chao, Xiuli; Miyazawa, Masakiyo 1 1998 An \(M/G/1\) queue with Markov-dependent exceptional service times. Zbl 1049.90017 Kodera, Tomoyuki; Miyazawa, Masakiyo 1 2002 The characterization of the stationary distribution of the supplemented self-clocking jump process. Zbl 0742.60101 Miyazawa, Masakiyo 1 1991 Moments in infinite channel queues. Zbl 0782.60067 Yamazaki, Genji; Sigman, Karl; Miyazawa, Masakiyo 1 1992 Stability of discrete-time Jackson networks with batch movements. Zbl 0856.60095 Miyazawa, Masakiyo 1 1996 Decomposable stationary distribution of a multidimensional SRBM. Zbl 1325.60132 Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 1 2015 Join the shortest queue among \(k\) parallel queues: tail asymptotics of its stationary distribution. Zbl 1277.60158 Kobayashi, Masahiro; Sakuma, Yutaka; Miyazawa, Masakiyo 1 2013 Tails in a fixed-point problem for a branching process with state-independent immigration. Zbl 1465.60078 Foss, Sergey; Miyazawa, Masakiyo 1 2020 Markov modulated fluid network process: tail asymptotics of the stationary distribution. Zbl 1469.60296 Miyazawa, Masakiyo 1 2021 Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails. Zbl 1403.60076 Foss, Sergey; Miyazawa, Masakiyo 1 2018 Stability condition of a cascade system with a general number of stations. Zbl 1491.90054 Miyazawa, Masakiyo; Morozov, Evsey 5 2022 Markov modulated fluid network process: tail asymptotics of the stationary distribution. Zbl 1469.60296 Miyazawa, Masakiyo 1 2021 Tails in a fixed-point problem for a branching process with state-independent immigration. Zbl 1465.60078 Foss, Sergey; Miyazawa, Masakiyo 1 2020 Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails. Zbl 1403.60076 Foss, Sergey; Miyazawa, Masakiyo 1 2018 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 11 2017 Martingale approach for tail asymptotic problems in the generalized Jackson network. Zbl 1393.60109 Miyazawa, Masakiyo 3 2017 A unified approach for large queue asymptotics in a heterogeneous multiserver queue. Zbl 1425.60078 Miyazawa, Masakiyo 3 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 1 2017 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 8 2015 Diffusion approximation for stationary analysis of queues and their networks: a review. Zbl 1367.90042 Miyazawa, Masakiyo 7 2015 Decomposable stationary distribution of a multidimensional SRBM. Zbl 1325.60132 Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 1 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 14 2014 Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050 Latouche, Guy; Miyazawa, Masakiyo 6 2014 A multi-dimensional SRBM: geometric views of its product form stationary distribution. Zbl 1323.60111 Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 4 2014 Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120 Foss, Sergey; Miyazawa, Masakiyo 4 2014 Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures. Zbl 1276.60089 Dai, J. G.; Miyazawa, Masakiyo 21 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 11 2013 Join the shortest queue among \(k\) parallel queues: tail asymptotics of its stationary distribution. Zbl 1277.60158 Kobayashi, Masahiro; Sakuma, Yutaka; Miyazawa, Masakiyo 1 2013 Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes. Zbl 1296.60249 Miyazawa, Masakiyo; Zwart, Bert 8 2012 Light tail asymptotics in multidimensional reflecting processes for queueing networks. Zbl 1280.60051 Miyazawa, Masakiyo 37 2011 Reflecting Brownian motion in two dimensions: exact asymptotics for the stationary distribution. Zbl 1291.60168 Dai, Jim G.; Miyazawa, Masakiyo 35 2011 Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM. Zbl 1275.60064 Miyazawa, Masakiyo; Kobayashi, Masahiro 3 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’ichi; Miyazawa, Masakiyo 2 2011 Palm calculus, reallocatable GSMP and insensitivity structure. Zbl 1231.60043 Miyazawa, Masakiyo 1 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. 6 2010 Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Zbl 1191.60105 Sakuma, Yutaka; Miyazawa, Masakiyo 1 2010 Tail decay rates in double QBD processes and related reflected random walks. Zbl 1213.60151 Miyazawa, Masakiyo 50 2009 Tail asymptotics for a Lévy-driven tandem queue with an intermediate input. Zbl 1209.90117 Miyazawa, Masakiyo; Rolski, Tomasz 18 2009 Geometric decay in level-expanding QBD models. Zbl 1152.60073 Liu, Liming; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 2 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. 31 2007 Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure. Zbl 1115.60092 Miyazawa, Masakiyo; Sakuma, Yutaka; Yamaguchi, Shuhei 9 2007 Decay rate for a PH/M/2 queue with shortest queue discipline. Zbl 1099.60063 Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 10 2006 On the effect of finite buffer truncation in a two-node Jackson network. Zbl 1077.60070 Sakuma, Yutaka; Miyazawa, Masakiyo 9 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. 40 2004 A Markov renewal approach to \(M/G/1\) type queues with countably many background states. Zbl 1056.90035 Miyazawa, Masakiyo 18 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 4 2004 Error bounds for perturbing nonexponential queues. Zbl 1082.60091 van Dijk, Nico M.; Miyazawa, Masakiyo 2 2004 Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks. Zbl 1107.90320 Miyazawa, Masakiyo 5 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 18 2002 A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queuing processes. Zbl 1005.60094 Miyazawa, Masakiyo 9 2002 A paradigm of Markov additive processes for queues and their networks. Zbl 1162.90403 Miyazawa, Masakiyo 2 2002 A Markov modulated fluid queue with batch arrivals and preemptions. Zbl 1022.60085 Takada, Hiroyuki; Miyazawa, Masakiyo 2 2002 An \(M/G/1\) queue with Markov-dependent exceptional service times. Zbl 1049.90017 Kodera, Tomoyuki; Miyazawa, Masakiyo 1 2002 Parallel fluid queues with constant inflows and simultaneous random reductions. Zbl 0991.60091 Kella, Offer; Miyazawa, Masakiyo 4 2001 Palm theory for random time changes. Zbl 0984.60063 Miyazawa, Masakiyo; Nieuwenhuis, Gert; Sigman, Karl 1 2001 Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Zbl 0959.60083 Chao, Xiuli; Miyazawa, Masakiyo 3 2000 On truncation properties of finite-buffer queues and queueing networks. Zbl 0979.60091 Chao, Xiuli; Miyazawa, Masakiyo 2 2000 A regenerative cycle approach to an M/G/1 queue with exceptional service. Zbl 1001.60093 Kengaku, Hironobu; Miyazawa, Masakiyo 1 2000 Queueing networks. Customers, signals, and product form solutions. Zbl 0936.90010 Chao, Xiuli; Miyazawa, Masakiyo; Pinedo, Michael 61 1999 Markov network processes with product form stationary distributions. Zbl 0913.90104 Chao, X.; Miyazawa, M.; Serfozo, R. F.; Takada, H. 3 1998 Geometric product form queueing networks with concurrent batch movements. Zbl 0936.60084 Yamashita, Hideaki; Miyazawa, Masakiyo 1 1998 On quasi-reversibility and local balance: An alternative derivation of the product-form results. Zbl 0987.90021 Chao, Xiuli; Miyazawa, Masakiyo 1 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. 11 1997 A note on bounds and error bounds for nonexponential batch arrival systems. Zbl 1096.90516 Miyazawa, Masakiyo; van Dijk, Nico M. 2 1997 Error bounds on a practical approximation for finite tandem queues. Zbl 0892.90084 van Dijk, Nico M.; Miyazawa, Masakiyo 2 1997 Structure-reversibility and departure functions of queueing networks with batch movements and state dependent routing. Zbl 0894.60083 Miyazawa, Masakiyo 2 1997 Symmetric queues with batch departures and their networks. Zbl 0845.60091 Miyazawa, Masakiyo; Wolff, Ronald W. 1 1996 Stability of discrete-time Jackson networks with batch movements. Zbl 0856.60095 Miyazawa, Masakiyo 1 1996 Relationship between queue length and waiting time in a stationary discrete-time queue. Zbl 0832.60086 Yakahashi, Yoshitaka; Miyazawa, Masakiyo 3 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 2 1995 Note on generalizations of Mecke’s formula and extensions of \(H=\lambda G\). Zbl 0820.60033 Miyazawa, Masakiyo 2 1995 Decomposability in queues with background states. Zbl 0847.60079 Yamazaki, Genji; Miyazawa, Masakiyo 2 1995 Rate conservation laws: A survey. Zbl 0803.60092 Miyazawa, Masakiyo 14 1994 Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Zbl 0793.60100 Miyazawa, Masakiyo 9 1994 Time-dependent rate conservation laws for a process defined with a stationary marked point process and their applications. Zbl 0795.60033 Miyazawa, Masakiyo 5 1994 Palm calculus for a process with a stationary random measure and its applications to fluid queues. Zbl 0817.60053 Miyazawa, Masakiyo 4 1994 Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Zbl 0803.60095 Takahashi, Yoshitaka; Miyazawa, Masakiyo 2 1994 On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Zbl 0822.60081 Miyazawa, Masakiyo 2 1994 Insensitivity and product-form decomposability of reallocatable GSMP. Zbl 0772.60079 Miyazawa, Masakiyo 10 1993 Evaluating the overflow probability using the infinite queue. Zbl 0792.60095 Sakasegawa, Hirotaka; Miyazawa, Masakiyo; Yamazaki, Genji 6 1993 The stationary work in system of a \(G/G/1\) gradual input queue. Zbl 0768.60087 Kino, Issei; Miyazawa, Masakiyo 5 1993 On ladder height distributions of general risk processes. Zbl 0780.60099 Miyazawa, Masakiyo; Schmidt, Volker 4 1993 Rate conservation principle for discrete-time queues. Zbl 0811.60078 Miyazawa, Masakiyo; Takahashi, Yoshitaka 5 1992 Loss probability of a burst arrival finite queue with synchronized service. Zbl 1134.60403 Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. Zbl 0754.60115 Miyazawa, Masakiyo 3 1992 Relationships in stationary jump processes with countable state space and their applications to queues. Zbl 0757.60097 Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 Moments in infinite channel queues. Zbl 0782.60067 Yamazaki, Genji; Sigman, Karl; Miyazawa, Masakiyo 1 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 5 1991 The equality of the workload and total attained waiting time in average. Zbl 0728.60087 Yamazaki, Genji; Miyazawa, Masakiyo 3 1991 The characterization of the stationary distribution of the supplemented self-clocking jump process. Zbl 0742.60101 Miyazawa, Masakiyo 1 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 11 1990 Further results on ASTA for general stationary processes and related problems. Zbl 0726.60048 Miyazawa, Masakiyo; Wolff, Ronald W. 7 1990 Comparison of the loss probability of the \(GI^ X/GI/1/k\) queues with a common traffic intensity. Zbl 0705.60087 Miyazawa, Masakiyo 3 1989 The basic equations for a supplemented GSMP and its applications to queues. Zbl 0662.60079 Miyazawa, Masakiyo; Yamazaki, Genji 2 1988 Relationships and decomposition in the delayed Bernoulli feedback queueing system. Zbl 0642.60079 König, D.; Miyazawa, M. 1 1988 A generalized Pollaczek-Khinchine formula for the GI/GI/1/K queue and its application to approximation. Zbl 0619.60092 Miyazawa, M. 5 1987 Approximation of the queue-length distribution of an M/GI/s queue by the basic equations. Zbl 0599.60084 Miyazawa, Masakiyo 17 1986 The intensity conservation law for queues with randomly changed service rate. Zbl 0564.60091 Miyazawa, Masakiyo 13 1985 The derivation of invariance relations in complex queueing systems with stationary inputs. Zbl 0535.60086 Miyazawa, Masakiyo 18 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 6 1983 Simple derivations of the invariance relations and their applications. Zbl 0482.60090 Miyazawa, Masakiyo 1 1982 Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Zbl 0511.60044 Miyazawa, Masakiyo 2 1981 A formal approach to queueing processes in the steady state and their applications. Zbl 0403.60089 Miyazawa, Masakiyo 14 1979 Time and customer processes in queues with stationary inputs. Zbl 0365.60106 Miyazawa, Masakiyo 12 1977 Stochastic order relations among GI/G/1 queues with a common traffic intensity. Zbl 0402.60095 Miyazawa, Masakiyo 4 1976 all cited Publications top 5 cited Publications all top 5 Cited by 418 Authors 43 Miyazawa, Masakiyo 21 Zhao, Yiqiang Q. 10 Yamazaki, Genji 9 Schmidt, Volker 8 Bini, Dario Andrea 8 Li, Hui 7 Kobayashi, Masahiro 7 Sakuma, Yutaka 6 Adan, Ivo J. B. F. 6 Boxma, Onno Johan 6 Franceschi, Sandro 6 Massei, Stefano 6 Palmowski, Zbigniew 6 Rolski, Tomasz 6 Sigman, Karl 6 Zwart, Bert P. 5 Abramov, Vyacheslav M. 5 Boucherie, Richard J. 5 Daduna, Hans 5 Dai, Hongshuai 5 Economou, Antonis 5 Fourneau, Jean-Michel 5 Guillemin, Fabrice M. 5 Ozawa, Toshihisa 5 Whitt, Ward 5 Zazanis, Michael A. 4 Chen, Yanting 4 Dai, J. G. (Jim) 4 Dimitriou, Ioannis 4 El-Taha, Muhammad 4 Goseling, Jasper 4 He, Qi-Ming 4 Kapodistria, Stella 4 Kim, Bara 4 Kim, Jeongsim 4 Kulkarni, Vidyadhar G. 4 Lian, Zhaotong 4 Mandjes, Michel Robertus Hendrikus 4 Masuyama, Hiroyuki 4 Meini, Beatrice 4 Raschel, Kilian 4 Robol, Leonardo 4 Smith, James MacGregor 4 Stidham, Shaler jun. 4 Takahashi, Yoshitaka 4 Taylor, Peter Gerrard 4 van Dijk, Nico M. 4 van Leeuwaarden, Johan S. H. 4 Wang, Jinting 3 Ahn, Soohan 3 Artalejo, Jesus R. 3 Asmussen, Søren 3 Atencia, Ivan 3 Daley, Daryl John 3 Dao-Thi, Thu-Ha 3 Foley, Robert D. 3 Foss, Sergey G. 3 Frey, Andreas 3 Glynn, Peter W. 3 Hu, Lu 3 Ivanovs, Jevgeņijs 3 Jiang, Yangsheng 3 Kella, Offer 3 Khanchi, Aziz 3 Kim, Nam-Ki 3 König, Dieter 3 Krishna Kumar, Balasubramanian 3 Latouche, Guy 3 Liu, Liming 3 Marin, Andrea 3 Mazumdar, Ravi R. 3 Pang, Guodong 3 Sarantsev, Andrey 3 Takine, Tetsuya 3 Xie, Jingui 3 Zhu, Juanxiu 2 Arapostathis, Aristotle 2 Arivarignan, G. 2 Baek, Jung Woo 2 Bean, Nigel G. 2 Borst, Sem C. 2 Bruneel, Herwig 2 Chae, Kyung Chul 2 Chao, Xiuli 2 Chen, Yanru 2 Dawson, Donald Andrew 2 de la Cruz, Nha-Nghi 2 Dohi, Tadashi 2 Ernst, Philip A. 2 Fakinos, Demetrios 2 Gelenbe, Sami Erol 2 Gupta, Varun 2 Harchol-Balter, Mor 2 Harrison, Peter G. 2 Hmedi, Hassan 2 Hou, Zhenting 2 Ishizaki, Fumio 2 Jiang, Tao 2 Katayama, Tsuyoshi 2 Kimura, Tatsuaki ...and 318 more Authors all top 5 Cited in 79 Serials 94 Queueing Systems 20 Stochastic Models 17 Operations Research Letters 15 Annals of Operations Research 15 Stochastic Processes and their Applications 15 Probability in the Engineering and Informational Sciences 14 Journal of Applied Probability 13 European Journal of Operational Research 9 Advances in Applied Probability 7 Mathematical and Computer Modelling 7 Top 7 Methodology and Computing in Applied Probability 6 Stochastic Systems 5 Computers & Mathematics with Applications 5 Applied Mathematical Modelling 4 Annals of the Institute of Statistical Mathematics 4 Statistics & Probability Letters 4 Stochastic Analysis and Applications 4 Journal of Theoretical Probability 4 Journal of the Korean Statistical Society 3 Applied Mathematics and Computation 3 Operations Research 3 Opsearch 3 Insurance Mathematics & Economics 3 Computers & Operations Research 3 The Annals of Applied Probability 3 Discrete Event Dynamic Systems 3 Mathematical Methods of Operations Research 3 Journal of Industrial and Management Optimization 2 INFOR 2 Journal of Soviet Mathematics 2 Theoretical Computer Science 2 Acta Applicandae Mathematicae 2 Optimization 2 Asia-Pacific Journal of Operational Research 2 Numerical Algorithms 2 Automation and Remote Control 2 International Journal of Computer Mathematics 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. 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Simulation and Computation 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 Journal of Applied Mathematics and Decision Sciences 1 Extremes 1 North American Actuarial Journal 1 Networks and Spatial Economics 1 Stochastics 1 Applications and Applied Mathematics 1 East Asian Mathematical Journal 1 Science China. Mathematics 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 24 Fields 307 Probability theory and stochastic processes (60-XX) 243 Operations research, mathematical programming (90-XX) 36 Computer science (68-XX) 15 Numerical analysis (65-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistics (62-XX) 7 Functions of a complex variable (30-XX) 7 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year