Edit Profile (opens in new tab) Miyazawa, Masakiyo Compute Distance To: Compute 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 1 Contribution as Editor · 1 Further Contribution Co-Authors: 45 Co-Authors with 70 Joint Publications 1,288 Co-Co-Authors all top 5 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 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 Braverman, Anton 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 Morozov, Evsey 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 21 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 104 Probability theory and stochastic processes (60-XX) 72 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 93 Publications have been cited 690 times in 353 Documents Cited by ▼ Year ▼ Queueing networks. Customers, signals, and product form solutions. Zbl 0936.90010Chao, Xiuli; Miyazawa, Masakiyo; Pinedo, Michael 56 1999 Tail decay rates in double QBD processes and related reflected random walks. Zbl 1213.60151Miyazawa, Masakiyo 46 2009 The stationary tail asymptotics in the \(GI/G/1\)-type queue with countably many background states. Zbl 1136.60366Miyazawa, Masakiyo; Zhao, Yiqiang Q. 39 2004 Light tail asymptotics in multidimensional reflecting processes for queueing networks. Zbl 1280.60051Miyazawa, Masakiyo 35 2011 Reflecting Brownian motion in two dimensions: exact asymptotics for the stationary distribution. Zbl 1291.60168Dai, Jim G.; Miyazawa, Masakiyo 32 2011 Geometric decay in a QBD process with countable background states with applications to a join-the-shortest-queue model. Zbl 1124.60074Li, Hui; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 30 2007 Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures. Zbl 1276.60089Dai, J. G.; Miyazawa, Masakiyo 19 2013 A Markov renewal approach to \(M/G/1\) type queues with countably many background states. Zbl 1056.90035Miyazawa, Masakiyo 18 2004 Approximation of the queue-length distribution of an M/GI/s queue by the basic equations. Zbl 0599.60084Miyazawa, Masakiyo 17 1986 The derivation of invariance relations in complex queueing systems with stationary inputs. Zbl 0535.60086Miyazawa, Masakiyo 17 1983 A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps. Zbl 1037.60084Miyazawa, Masakiyo; Takada, Hiroyuki 16 2002 Tail asymptotics for a Lévy-driven tandem queue with an intermediate input. Zbl 1209.90117Miyazawa, Masakiyo; Rolski, Tomasz 16 2009 A formal approach to queueing processes in the steady state and their applications. Zbl 0403.60089Miyazawa, Masakiyo 14 1979 Rate conservation laws: A survey. Zbl 0803.60092Miyazawa, Masakiyo 13 1994 Tail asymptotics of the stationary distribution of a two-dimensional reflecting random walk with unbounded upward jumps. Zbl 1316.60066Kobayashi, Masahiro; Miyazawa, Masakiyo 13 2014 The intensity conservation law for queues with randomly changed service rate. Zbl 0564.60091Miyazawa, Masakiyo 13 1985 Time and customer processes in queues with stationary inputs. Zbl 0365.60106Miyazawa, Masakiyo 12 1977 A geometric product-form distribution for a queueing network with non-standard batch arrivals and batch transfers. Zbl 0890.60086Miyazawa, Masakiyo; Taylor, Peter G. 11 1997 Revisiting the tail asymptotics of the double QBD process: refinement and complete solutions for the coordinate and diagonal directions. Zbl 1280.60044Kobayashi, Masahiro; Miyazawa, Masakiyo 11 2013 Insensitivity and product-form decomposability of reallocatable GSMP. Zbl 0772.60079Miyazawa, Masakiyo 10 1993 Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach. Zbl 1370.60162Braverman, Anton; Dai, J. G.; Miyazawa, Masakiyo 10 2017 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 0718.60107Miyazawa, Masakiyo 10 1990 Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure. Zbl 1115.60092Miyazawa, Masakiyo; Sakuma, Yutaka; Yamaguchi, Shuhei 9 2007 On the effect of finite buffer truncation in a two-node Jackson network. Zbl 1077.60070Sakuma, Yutaka; Miyazawa, Masakiyo 9 2005 Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Zbl 0793.60100Miyazawa, Masakiyo 9 1994 A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queuing processes. Zbl 1005.60094Miyazawa, Masakiyo 9 2002 Decay rate for a PH/M/2 queue with shortest queue discipline. Zbl 1099.60063Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 9 2006 A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process. Zbl 1334.60200Miyazawa, Masakiyo 8 2015 Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes. Zbl 1296.60249Miyazawa, Masakiyo; Zwart, Bert 7 2012 Further results on ASTA for general stationary processes and related problems. Zbl 0726.60048Miyazawa, Masakiyo; Wolff, Ronald W. 7 1990 Diffusion approximation for stationary analysis of queues and their networks: a review. Zbl 1367.90042Miyazawa, Masakiyo 7 2015 Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050Latouche, 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 1221.60132Kobayashi, Masahiro; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 6 2010 On the identification of Poisson arrivals in queues with coinciding time- stationary and customer-stationary state distributions. Zbl 0527.60082Koenig, Dieter; Miyazawa, Masakiyo; Schmidt, Volker 6 1983 Rate conservation principle for discrete-time queues. Zbl 0811.60078Miyazawa, Masakiyo; Takahashi, Yoshitaka 5 1992 Evaluating the overflow probability using the infinite queue. Zbl 0792.60095Sakasegawa, Hirotaka; Miyazawa, Masakiyo; Yamazaki, Genji 5 1993 Time-dependent rate conservation laws for a process defined with a stationary marked point process and their applications. Zbl 0795.60033Miyazawa, Masakiyo 5 1994 The stationary work in system of a \(G/G/1\) gradual input queue. Zbl 0768.60087Kino, Issei; Miyazawa, Masakiyo 5 1993 Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks. Zbl 1107.90320Miyazawa, Masakiyo 5 2003 A generalized Pollaczek-Khinchine formula for the GI/GI/1/K queue and its application to approximation. Zbl 0619.60092Miyazawa, M. 5 1987 Palm calculus for a process with a stationary random measure and its applications to fluid queues. Zbl 0817.60053Miyazawa, Masakiyo 4 1994 Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes. Zbl 1057.60073Miyazawa, Masakiyo 4 2004 On ladder height distributions of general risk processes. Zbl 0780.60099Miyazawa, Masakiyo; Schmidt, Volker 4 1993 A multi-dimensional SRBM: geometric views of its product form stationary distribution. Zbl 1323.60111Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 4 2014 Stochastic order relations among GI/G/1 queues with a common traffic intensity. Zbl 0402.60095Miyazawa, Masakiyo 4 1976 Monotonicity of the loss probabilities of single server finite queues with respect to convex order of arrival or service processes. Zbl 1134.60402Miyazawa, Masakiyo; Shanthikumar, J. George 4 1991 Parallel fluid queues with constant inflows and simultaneous random reductions. Zbl 0991.60091Kella, Offer; Miyazawa, Masakiyo 4 2001 Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Zbl 0959.60083Chao, Xiuli; Miyazawa, Masakiyo 3 2000 On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. Zbl 0754.60115Miyazawa, Masakiyo 3 1992 Relationships in stationary jump processes with countable state space and their applications to queues. Zbl 0757.60097Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 Martingale approach for tail asymptotic problems in the generalized Jackson network. Zbl 1393.60109Miyazawa, Masakiyo 3 2017 Loss probability of a burst arrival finite queue with synchronized service. Zbl 1134.60403Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 The equality of the workload and total attained waiting time in average. Zbl 0728.60087Yamazaki, Genji; Miyazawa, Masakiyo 3 1991 Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120Foss, Sergey; Miyazawa, Masakiyo 3 2014 Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM. Zbl 1275.60064Miyazawa, Masakiyo; Kobayashi, Masahiro 3 2011 Markov network processes with product form stationary distributions. Zbl 0913.90104Chao, X.; Miyazawa, M.; Serfozo, R. F.; Takada, H. 3 1998 Comparison of the loss probability of the \(GI^ X/GI/1/k\) queues with a common traffic intensity. Zbl 0705.60087Miyazawa, Masakiyo 3 1989 Geometric decay in level-expanding QBD models. Zbl 1152.60073Liu, Liming; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 2 2008 Error bounds on a practical approximation for finite tandem queues. Zbl 0892.90084van Dijk, Nico M.; Miyazawa, Masakiyo 2 1997 On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Zbl 0822.60081Miyazawa, Masakiyo 2 1994 A Markov modulated fluid queue with batch arrivals and preemptions. Zbl 1022.60085Takada, Hiroyuki; Miyazawa, Masakiyo 2 2002 Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Zbl 0511.60044Miyazawa, Masakiyo 2 1981 Tail asymptotics for waiting time distribution of an \(M/M/s\) queue with general impatient time. Zbl 1231.60103Sakuma, Yutaka; Inoie, Atsushi; Kawanishi, Ken’ichi; Miyazawa, Masakiyo 2 2011 On the structure of an insensitive generalized semi-Markov process with reallocation and point-process input. Zbl 0823.60089Miyazawa, Masakiyo; Schassberger, Rolf; Schmidt, Volker 2 1995 Note on generalizations of Mecke’s formula and extensions of \(H=\lambda G\). Zbl 0820.60033Miyazawa, Masakiyo 2 1995 Relationship between queue length and waiting time in a stationary discrete-time queue. Zbl 0832.60086Yakahashi, Yoshitaka; Miyazawa, Masakiyo 2 1995 Decomposability in queues with background states. Zbl 0847.60079Yamazaki, Genji; Miyazawa, Masakiyo 2 1995 Error bounds for perturbing nonexponential queues. Zbl 1082.60091van Dijk, Nico M.; Miyazawa, Masakiyo 2 2004 On truncation properties of finite-buffer queues and queueing networks. Zbl 0979.60091Chao, Xiuli; Miyazawa, Masakiyo 2 2000 A paradigm of Markov additive processes for queues and their networks. Zbl 1162.90403Miyazawa, Masakiyo 2 2002 A note on bounds and error bounds for nonexponential batch arrival systems. Zbl 1096.90516Miyazawa, Masakiyo; van Dijk, Nico M. 2 1997 Structure-reversibility and departure functions of queueing networks with batch movements and state dependent routing. Zbl 0894.60083Miyazawa, Masakiyo 2 1997 The basic equations for a supplemented GSMP and its applications to queues. Zbl 0662.60079Miyazawa, Masakiyo; Yamazaki, Genji 2 1988 Tails in a fixed-point problem for a branching process with state-independent immigration. Zbl 1465.60078Foss, Sergey; Miyazawa, Masakiyo 1 2020 Simple derivations of the invariance relations and their applications. Zbl 0482.60090Miyazawa, Masakiyo 1 1982 A regenerative cycle approach to an M/G/1 queue with exceptional service. Zbl 1001.60093Kengaku, Hironobu; Miyazawa, Masakiyo 1 2000 Moments in infinite channel queues. Zbl 0782.60067Yamazaki, Genji; Sigman, Karl; Miyazawa, Masakiyo 1 1992 Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Zbl 1191.60105Sakuma, Yutaka; Miyazawa, Masakiyo 1 2010 Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Zbl 0803.60095Takahashi, Yoshitaka; Miyazawa, Masakiyo 1 1994 Relationships and decomposition in the delayed Bernoulli feedback queueing system. Zbl 0642.60079König, D.; Miyazawa, M. 1 1988 A unified approach for large queue asymptotics in a heterogeneous multiserver queue. Zbl 1425.60078Miyazawa, Masakiyo 1 2017 The characterization of the stationary distribution of the supplemented self-clocking jump process. Zbl 0742.60101Miyazawa, Masakiyo 1 1991 Palm theory for random time changes. Zbl 0984.60063Miyazawa, Masakiyo; Nieuwenhuis, Gert; Sigman, Karl 1 2001 An \(M/G/1\) queue with Markov-dependent exceptional service times. Zbl 1049.90017Kodera, Tomoyuki; Miyazawa, Masakiyo 1 2002 Queue-length balance equations in multiclass multiserver queues and their generalizations. Zbl 1382.60114Boon, Marko A. A.; Boxma, Onno J.; Kella, Offer; Miyazawa, Masakiyo 1 2017 Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails. Zbl 1403.60076Foss, Sergey; Miyazawa, Masakiyo 1 2018 On quasi-reversibility and local balance: An alternative derivation of the product-form results. Zbl 0987.90021Chao, Xiuli; Miyazawa, Masakiyo 1 1998 Stability of discrete-time Jackson networks with batch movements. Zbl 0856.60095Miyazawa, Masakiyo 1 1996 Symmetric queues with batch departures and their networks. Zbl 0845.60091Miyazawa, Masakiyo; Wolff, Ronald W. 1 1996 Palm calculus, reallocatable GSMP and insensitivity structure. Zbl 1231.60043Miyazawa, Masakiyo 1 2011 Decomposable stationary distribution of a multidimensional SRBM. Zbl 1325.60132Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 1 2015 Markov modulated fluid network process: tail asymptotics of the stationary distribution. Zbl 1469.60296Miyazawa, Masakiyo 1 2021 Geometric product form queueing networks with concurrent batch movements. Zbl 0936.60084Yamashita, Hideaki; Miyazawa, Masakiyo 1 1998 Markov modulated fluid network process: tail asymptotics of the stationary distribution. Zbl 1469.60296Miyazawa, Masakiyo 1 2021 Tails in a fixed-point problem for a branching process with state-independent immigration. Zbl 1465.60078Foss, Sergey; Miyazawa, Masakiyo 1 2020 Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails. Zbl 1403.60076Foss, Sergey; Miyazawa, Masakiyo 1 2018 Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach. Zbl 1370.60162Braverman, Anton; Dai, J. G.; Miyazawa, Masakiyo 10 2017 Martingale approach for tail asymptotic problems in the generalized Jackson network. Zbl 1393.60109Miyazawa, Masakiyo 3 2017 A unified approach for large queue asymptotics in a heterogeneous multiserver queue. Zbl 1425.60078Miyazawa, Masakiyo 1 2017 Queue-length balance equations in multiclass multiserver queues and their generalizations. Zbl 1382.60114Boon, 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 1334.60200Miyazawa, Masakiyo 8 2015 Diffusion approximation for stationary analysis of queues and their networks: a review. Zbl 1367.90042Miyazawa, Masakiyo 7 2015 Decomposable stationary distribution of a multidimensional SRBM. Zbl 1325.60132Dai, 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 1316.60066Kobayashi, Masahiro; Miyazawa, Masakiyo 13 2014 Product-form characterization for a two-dimensional reflecting random walk. Zbl 1310.60050Latouche, Guy; Miyazawa, Masakiyo 6 2014 A multi-dimensional SRBM: geometric views of its product form stationary distribution. Zbl 1323.60111Dai, J. G.; Miyazawa, Masakiyo; Wu, Jian 4 2014 Two-node fluid network with a heavy-tailed random input: the strong stability case. Zbl 1317.60120Foss, Sergey; Miyazawa, Masakiyo 3 2014 Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures. Zbl 1276.60089Dai, J. G.; Miyazawa, Masakiyo 19 2013 Revisiting the tail asymptotics of the double QBD process: refinement and complete solutions for the coordinate and diagonal directions. Zbl 1280.60044Kobayashi, Masahiro; Miyazawa, Masakiyo 11 2013 Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes. Zbl 1296.60249Miyazawa, Masakiyo; Zwart, Bert 7 2012 Light tail asymptotics in multidimensional reflecting processes for queueing networks. Zbl 1280.60051Miyazawa, Masakiyo 35 2011 Reflecting Brownian motion in two dimensions: exact asymptotics for the stationary distribution. Zbl 1291.60168Dai, Jim G.; Miyazawa, Masakiyo 32 2011 Conjectures on tail asymptotics of the marginal stationary distribution for a multidimensional SRBM. Zbl 1275.60064Miyazawa, Masakiyo; Kobayashi, Masahiro 3 2011 Tail asymptotics for waiting time distribution of an \(M/M/s\) queue with general impatient time. Zbl 1231.60103Sakuma, Yutaka; Inoie, Atsushi; Kawanishi, Ken’ichi; Miyazawa, Masakiyo 2 2011 Palm calculus, reallocatable GSMP and insensitivity structure. Zbl 1231.60043Miyazawa, Masakiyo 1 2011 Tail asymptotics of the occupation measure for a Markov additive process with an \(M/G/1\)-type background process. Zbl 1221.60132Kobayashi, Masahiro; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 6 2010 Asymptotic behavior of the loss rate for Markov-modulated fluid queue with a finite buffer. Zbl 1191.60105Sakuma, Yutaka; Miyazawa, Masakiyo 1 2010 Tail decay rates in double QBD processes and related reflected random walks. Zbl 1213.60151Miyazawa, Masakiyo 46 2009 Tail asymptotics for a Lévy-driven tandem queue with an intermediate input. Zbl 1209.90117Miyazawa, Masakiyo; Rolski, Tomasz 16 2009 Geometric decay in level-expanding QBD models. Zbl 1152.60073Liu, 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 1124.60074Li, Hui; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 30 2007 Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure. Zbl 1115.60092Miyazawa, Masakiyo; Sakuma, Yutaka; Yamaguchi, Shuhei 9 2007 Decay rate for a PH/M/2 queue with shortest queue discipline. Zbl 1099.60063Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q. 9 2006 On the effect of finite buffer truncation in a two-node Jackson network. Zbl 1077.60070Sakuma, Yutaka; Miyazawa, Masakiyo 9 2005 The stationary tail asymptotics in the \(GI/G/1\)-type queue with countably many background states. Zbl 1136.60366Miyazawa, Masakiyo; Zhao, Yiqiang Q. 39 2004 A Markov renewal approach to \(M/G/1\) type queues with countably many background states. Zbl 1056.90035Miyazawa, Masakiyo 18 2004 Hitting probabilities in a Markov additive process with linear movements and upward jumps: applications to risk and queueing processes. Zbl 1057.60073Miyazawa, Masakiyo 4 2004 Error bounds for perturbing nonexponential queues. Zbl 1082.60091van Dijk, Nico M.; Miyazawa, Masakiyo 2 2004 Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks. Zbl 1107.90320Miyazawa, Masakiyo 5 2003 A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps. Zbl 1037.60084Miyazawa, Masakiyo; Takada, Hiroyuki 16 2002 A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queuing processes. Zbl 1005.60094Miyazawa, Masakiyo 9 2002 A Markov modulated fluid queue with batch arrivals and preemptions. Zbl 1022.60085Takada, Hiroyuki; Miyazawa, Masakiyo 2 2002 A paradigm of Markov additive processes for queues and their networks. Zbl 1162.90403Miyazawa, Masakiyo 2 2002 An \(M/G/1\) queue with Markov-dependent exceptional service times. Zbl 1049.90017Kodera, Tomoyuki; Miyazawa, Masakiyo 1 2002 Parallel fluid queues with constant inflows and simultaneous random reductions. Zbl 0991.60091Kella, Offer; Miyazawa, Masakiyo 4 2001 Palm theory for random time changes. Zbl 0984.60063Miyazawa, Masakiyo; Nieuwenhuis, Gert; Sigman, Karl 1 2001 Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Zbl 0959.60083Chao, Xiuli; Miyazawa, Masakiyo 3 2000 On truncation properties of finite-buffer queues and queueing networks. Zbl 0979.60091Chao, Xiuli; Miyazawa, Masakiyo 2 2000 A regenerative cycle approach to an M/G/1 queue with exceptional service. Zbl 1001.60093Kengaku, Hironobu; Miyazawa, Masakiyo 1 2000 Queueing networks. Customers, signals, and product form solutions. Zbl 0936.90010Chao, Xiuli; Miyazawa, Masakiyo; Pinedo, Michael 56 1999 Markov network processes with product form stationary distributions. Zbl 0913.90104Chao, X.; Miyazawa, M.; Serfozo, R. F.; Takada, H. 3 1998 On quasi-reversibility and local balance: An alternative derivation of the product-form results. Zbl 0987.90021Chao, Xiuli; Miyazawa, Masakiyo 1 1998 Geometric product form queueing networks with concurrent batch movements. Zbl 0936.60084Yamashita, Hideaki; Miyazawa, Masakiyo 1 1998 A geometric product-form distribution for a queueing network with non-standard batch arrivals and batch transfers. Zbl 0890.60086Miyazawa, Masakiyo; Taylor, Peter G. 11 1997 Error bounds on a practical approximation for finite tandem queues. Zbl 0892.90084van Dijk, Nico M.; Miyazawa, Masakiyo 2 1997 A note on bounds and error bounds for nonexponential batch arrival systems. Zbl 1096.90516Miyazawa, Masakiyo; van Dijk, Nico M. 2 1997 Structure-reversibility and departure functions of queueing networks with batch movements and state dependent routing. Zbl 0894.60083Miyazawa, Masakiyo 2 1997 Stability of discrete-time Jackson networks with batch movements. Zbl 0856.60095Miyazawa, Masakiyo 1 1996 Symmetric queues with batch departures and their networks. Zbl 0845.60091Miyazawa, Masakiyo; Wolff, Ronald W. 1 1996 On the structure of an insensitive generalized semi-Markov process with reallocation and point-process input. Zbl 0823.60089Miyazawa, Masakiyo; Schassberger, Rolf; Schmidt, Volker 2 1995 Note on generalizations of Mecke’s formula and extensions of \(H=\lambda G\). Zbl 0820.60033Miyazawa, Masakiyo 2 1995 Relationship between queue length and waiting time in a stationary discrete-time queue. Zbl 0832.60086Yakahashi, Yoshitaka; Miyazawa, Masakiyo 2 1995 Decomposability in queues with background states. Zbl 0847.60079Yamazaki, Genji; Miyazawa, Masakiyo 2 1995 Rate conservation laws: A survey. Zbl 0803.60092Miyazawa, Masakiyo 13 1994 Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Zbl 0793.60100Miyazawa, Masakiyo 9 1994 Time-dependent rate conservation laws for a process defined with a stationary marked point process and their applications. Zbl 0795.60033Miyazawa, Masakiyo 5 1994 Palm calculus for a process with a stationary random measure and its applications to fluid queues. Zbl 0817.60053Miyazawa, Masakiyo 4 1994 On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Zbl 0822.60081Miyazawa, Masakiyo 2 1994 Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Zbl 0803.60095Takahashi, Yoshitaka; Miyazawa, Masakiyo 1 1994 Insensitivity and product-form decomposability of reallocatable GSMP. Zbl 0772.60079Miyazawa, Masakiyo 10 1993 Evaluating the overflow probability using the infinite queue. Zbl 0792.60095Sakasegawa, Hirotaka; Miyazawa, Masakiyo; Yamazaki, Genji 5 1993 The stationary work in system of a \(G/G/1\) gradual input queue. Zbl 0768.60087Kino, Issei; Miyazawa, Masakiyo 5 1993 On ladder height distributions of general risk processes. Zbl 0780.60099Miyazawa, Masakiyo; Schmidt, Volker 4 1993 Rate conservation principle for discrete-time queues. Zbl 0811.60078Miyazawa, Masakiyo; Takahashi, Yoshitaka 5 1992 On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. Zbl 0754.60115Miyazawa, Masakiyo 3 1992 Relationships in stationary jump processes with countable state space and their applications to queues. Zbl 0757.60097Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 Loss probability of a burst arrival finite queue with synchronized service. Zbl 1134.60403Miyazawa, Masakiyo; Yamazaki, Genji 3 1992 Moments in infinite channel queues. Zbl 0782.60067Yamazaki, 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 1134.60402Miyazawa, Masakiyo; Shanthikumar, J. George 4 1991 The equality of the workload and total attained waiting time in average. Zbl 0728.60087Yamazaki, Genji; Miyazawa, Masakiyo 3 1991 The characterization of the stationary distribution of the supplemented self-clocking jump process. Zbl 0742.60101Miyazawa, 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 0718.60107Miyazawa, Masakiyo 10 1990 Further results on ASTA for general stationary processes and related problems. Zbl 0726.60048Miyazawa, 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 0705.60087Miyazawa, Masakiyo 3 1989 The basic equations for a supplemented GSMP and its applications to queues. Zbl 0662.60079Miyazawa, Masakiyo; Yamazaki, Genji 2 1988 Relationships and decomposition in the delayed Bernoulli feedback queueing system. Zbl 0642.60079König, D.; Miyazawa, M. 1 1988 A generalized Pollaczek-Khinchine formula for the GI/GI/1/K queue and its application to approximation. Zbl 0619.60092Miyazawa, M. 5 1987 Approximation of the queue-length distribution of an M/GI/s queue by the basic equations. Zbl 0599.60084Miyazawa, Masakiyo 17 1986 The intensity conservation law for queues with randomly changed service rate. Zbl 0564.60091Miyazawa, Masakiyo 13 1985 The derivation of invariance relations in complex queueing systems with stationary inputs. Zbl 0535.60086Miyazawa, Masakiyo 17 1983 On the identification of Poisson arrivals in queues with coinciding time- stationary and customer-stationary state distributions. Zbl 0527.60082Koenig, Dieter; Miyazawa, Masakiyo; Schmidt, Volker 6 1983 Simple derivations of the invariance relations and their applications. Zbl 0482.60090Miyazawa, Masakiyo 1 1982 Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Zbl 0511.60044Miyazawa, Masakiyo 2 1981 A formal approach to queueing processes in the steady state and their applications. Zbl 0403.60089Miyazawa, Masakiyo 14 1979 Time and customer processes in queues with stationary inputs. Zbl 0365.60106Miyazawa, Masakiyo 12 1977 Stochastic order relations among GI/G/1 queues with a common traffic intensity. Zbl 0402.60095Miyazawa, Masakiyo 4 1976 all cited Publications top 5 cited Publications all top 5 Cited by 398 Authors 40 Miyazawa, Masakiyo 20 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 Boxma, Onno Johan 6 Kobayashi, Masahiro 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 Economou, Antonis 5 Franceschi, Sandro 5 Guillemin, Fabrice M. 5 Ozawa, Toshihisa 5 Whitt, Ward 5 Zazanis, Michael A. 4 Chen, Yanting 4 Dai, Hongshuai 4 Dai, J. G. (Jim) 4 El-Taha, Muhammad 4 Fourneau, Jean-Michel 4 Goseling, Jasper 4 Kapodistria, Stella 4 Kulkarni, Vidyadhar G. 4 Lian, Zhaotong 4 Mandjes, Michel Robertus Hendrikus 4 Masuyama, Hiroyuki 4 Meini, Beatrice 4 Robol, Leonardo 4 Stidham, Shaler jun. 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 Cheung, Eric C. K. 3 Daley, Daryl John 3 Dimitriou, Ioannis 3 Foley, Robert D. 3 Foss, Sergey G. 3 Glynn, Peter W. 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 Krishna Kumar, Balasubramanian 3 Latouche, Guy 3 Liu, Liming 3 Marin, Andrea 3 Mazumdar, Ravi R. 3 Raschel, Kilian 3 Sarantsev, Andrey 3 Smith, James MacGregor 3 Takine, Tetsuya 3 Xie, Jingui 3 Zhu, Juanxiu 2 Arivarignan, G. 2 Baek, Jung Woo 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 Ernst, Philip A. 2 Fakinos, Demetrios 2 Frey, Andreas 2 Gelenbe, Sami Erol 2 Gupta, Varun 2 Harchol-Balter, Mor 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 Madheswari, S. Pavai 2 Mairesse, Jean 2 McDonald, David R. 2 Miao, Daniel Wei-Chung ...and 298 more Authors all top 5 Cited in 77 Serials 90 Queueing Systems 20 Stochastic Models 17 Operations Research Letters 15 Stochastic Processes and their Applications 14 Annals of Operations Research 14 Probability in the Engineering and Informational Sciences 13 Journal of Applied Probability 13 European Journal of Operational Research 9 Advances in Applied Probability 7 Mathematical and Computer Modelling 7 Top 6 Stochastic Systems 5 Applied Mathematical Modelling 5 Methodology and Computing in Applied Probability 4 Computers & Mathematics with Applications 4 Annals of the Institute of Statistical Mathematics 4 Stochastic Analysis and Applications 4 Journal of Theoretical Probability 4 Journal of the Korean Statistical Society 3 Applied Mathematics and Computation 3 Opsearch 3 Insurance Mathematics & Economics 3 Statistics & Probability Letters 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 Journal of Soviet Mathematics 2 Operations Research 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 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 International Journal of Applied Mathematics and Computer Science 2 RAIRO. 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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 21 Fields 290 Probability theory and stochastic processes (60-XX) 231 Operations research, mathematical programming (90-XX) 31 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 Functions of a complex variable (30-XX) 7 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-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 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year