- M. Miyazawa (2019) Markov modulated fluid network process: Tail asymptotics of the stationary distribution, submitted for publication (arXive).
- S. Foss and M. Miyazawa (2018) Tails in a fixed-point problem for a branching process with state-independent immigration, to appear in Markov Processes and Related Fields (arXive).
- D. J. Daley and M. Miyazawa (2019) A martingale view of Blackwell's renewal theorem and its extensions to a general counting process, Journal of Applied Probability 56, 602-623 (arXive).
- S. Foss and M. Miyazawa (2018) Customer sojourn time in GI/G/1 feedback queue in the presence of heavy tails, the Journal of Statistical Physics 173, Issue 3-4, 1195–1226 (open access) (arXive).
- M. Miyazawa (2017) Martingale approach for tail asymptotic problems in the generalized Jackson network, Probability and Mathematical Statistics 37, 395-430 (open access) (arXiv version).
- M. Boon, O. Boxma, O. Kella and M. Miyazawa (2017) Queue-length balance equations in multiclass multiserver queues and their generalizations, Queueing Systems 86, 277-299 (open access).
- A. Braverman, J.G. Dai and M. Miyazawa (2017) Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach, Stochastic Systems 7, 143-196 (open access).
- M. Miyazawa (2017) A unified approach for large queue asymptotics in a heterogeneous multiserver queue, supplemented version, Advances in Applied Probability 49, 182-220 (Supplementary version is available at arXiv).
- M. Miyazawa (2016) Martingale decomposition for large queue asymptotics, 2016 Queueing Symposium proceedings, 199-208, Tokyo.
- M. Miyazawa (2015) A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov modulated two dimensional reflecting process, Queueing Systems 81, 1-48 (arXiv).
- M. Miyazawa (2015) Diffusion approximation for stationary analysis of queues and their networks: A review, Journal of the Operations Research Society of Japan 58, 104-148 (open access).
- J.G. Dai, M. Miyazawa and J. Wu (2015) Decomposable stationary distribution of a multidimensional SRBM, Stochastic Processes and their Applications 125, 1799-1820 (arXiv)
- M. Kobayashi, M. Miyazawa and H. Shimizu (2015) Model reversibility of a two dimensional reflecting random walk and its application to queueing network, Probability in the Engineering and Informational Sciences 29, 1-25 (arXiv).
- S. Foss and M. Miyazawa (2014) Two-node fluid network with a heavy-tailed random input: the strong stability case, Journal of Applied Probability 51A, 249-265 (open access).
- J.G. Dai, M. Miyazawa and J. Wu (2014) A multi-dimensional SRBM: Geometric views of its product form stationary distribution, Queueing Systems 78, 313-335 (arXiv).
- M. Miyazawa (2014) Tail asymptotics of the stationary distribution for a two node generalized Jackson network, ACM SIGMETRICS Performance Evaluation Review archive
Volume 42 Issue 2, 70-72 [pdf].
- G. Latouche and M. Miyazawa (2014) Product-form characterization for a two-dimensional reflecting random walk, Queueing Systems 77, 373-391 [pdf].
- M. Kobayashi and M. Miyazawa (2014) Tail asymptotics of the stationary distribution of a two dimensional reflecting random walk with unbounded upward jumps, Advances in Applied Probability 46, 365-399 [latest pdf] (arXiv).
- M. Miyazawa (2013) Reversibility in Queueing Models, the Wiley Encyclopedia of Operations Research and Management Science [pdf] (arXiv).
- M. Kobayashi, Y. Sakuma and M. Miyazawa (2013) Join the shortest queue among k parallel queues: tail asymptotics of its stationary distribution, Queueing Systems 74, 303-332 [pdf] (arXiv), DOI: 10.1007/s11134-013-9353-y.
- J.G. Dai and M. Miyazawa (2013) Stationary distribution of a two-dimensional SRBM: Geometric views and boundary measures, Queueing Systems 74, 181-217 [pdf] (arXiv), DOI: 10.1007/s11134-012-9339-1.
- M. Kobayashi and M. Miyazawa (2013) Revisit to the tail asymptotics of the double QBD process: Refinement and complete solutions for the coordinate and diagonal directions, Chapter 8 in Matrix-Analytic Methods in Stochastic Models, 145-185, Springer [pdf] (arXiv).
- M. Miyazawa and B. Zwart (2012) Wiener-Hopf factorizations for a multidimensional Markov additive process and their applications to reflected processes, Stochastic Systems 2, 67-114 (open access).
- M. Miyazawa (2011) Light tail asymptotics in multidimensional reflecting processes for queueing networks, TOP 19, 233-299 [pdf].
- M. Miyazawa (2011) Rejoinder on: Light tail asymptotics in multidimensional reflecting processes for queueing networks, TOP 19, 313-316 [pdf].
- J.G. Dai and M. Miyazawa (2011) Reflecting Brownian motion in two dimensions: Exact asymptotics for the stationary distribution, Stochastic Systems 1, 146-208 (open access).
- Y. Sakuma, A. Inoie, K. Kawanishi and M. Miyazawa (2011) Tail asymptotics for waiting time distribution of an M/M/s queue with general impatient time, Journal of Industrial and Management Optimization 7, 593-606.
- M. Miyazawa and M. Kobayashi (2011) Conjectures on tail asymptotics of the stationary distribution for a multidimensional SRBM, Queueing Systems 68, 251-260 (open access).
- M. Kobayashi, M. Miyazawa and Y. Q. Zhao (2010) Tail asymptotics of the occupation measure for a Markov additive process with an M/G/1-type background process, Stochastic Models 26. 463-486 [pdf].
- Y. Sakama and M. Miyazawa (2010) Asymptotic behaviors of the loss rate for Markov modulated fluid queue with a finite buffer, Queueing Systems 65, 19-42 [pdf].
- M. Miyazawa and T. Rolski (2009) Exact asymptotics for a Levy-driven tandem queue with an intermediate input, Queueing Systems 63, 323-353 [pdf].
- M. Miyazawa (2009) Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks, Mathematics of Operations Research 34, 547-575 [pdf].
- M. Miyazawa (2009) Two Sided DQBD Process and Solutions to the Tail Decay Rate Problem and Their Applications to the Generalized Join Shortest Queue, in Advances in Queueing Theory and Network Applications, 3-33 [pdf].
- Y. Sakuma and M. Miyazawa (2009) Asymptotic behavior of the loss probability for a feedback finite fluid queue with downward jumps, in Advances in Queueing Theory and Network Applications, 195-211 [pdf].
- Liming Liu, M. Miyazawa and Yiqiang Q. Zhao (2008) Geometric Decay in Level-Expanding QBD Models, Annals of Operations Research 160, 83-98 [pdf].
- Hui Li, M. Miyazawa and Yiqiang Q. Zhao (2007) Geometric Decay in a QBD Process with Countable Background States with Applications to Shortest Queues, Stochastic Models 23, 413-438 [pdf].
- M. Miyazawa, Y. Sakuma, S. Yamaguchi (2007) Asymptotic behaviors of the loss probability for a finite buffer queue with QBD structure, Stochastic Models 23, Issue 1, 79 - 95 [pdf].
- S. Mizuno, Y. Sakuma and M. Miyazawa (2006) A queueing model for local traffics to join a main stream under a leading space condition, J. Operations Research Society of Japan 49, 319-331 [pdf].
- Y. Sakuma, M. Miyazawa and Y. Q. Zhao (2006) Decay rate for a PH/M/2 queue with shortest queue discipline, Queueing Systems 53, 189-201 [pdf].
- Y. Sakuma and M. Miyazawa (2005) On the effect of finite buffer truncation in a two node Jackson network. Journal of Applied Probability 42 (1), 199-222 [pdf].
- M. Miyazawa and Y. Q. Zhao (2004) The stationary tail asymptotics in the GI/G/1 type queue with countably many background states, Adv. in Appl. Probab. 36(4), 1231-1251 [pdf].
- N. M. van Dijk and M. Miyazawa (2004) Error Bounds for Perturbing Nonexponential Queues. Math. of OR 29, No. 3, 525-558 [pdf].
- M. Miyazawa (2004) The Markov renewal approach for the stationary distributions in the M/G/1 type queues with countably many background states, Queueing Systems 46, 177-196 [pdf].
- M. Miyazawa (2004) Hitting probabilities in a Markov additive process with linear movements and upward jumps: their applications to risk and queueing processes. Annals of Applied Probability 14, 1029-1054 [pdf].
- M. Miyazawa (2003) Conjectures on decay rates of tail probabilities in generalized Jackson and batch movement networks, Journal of the Operations Research Society of Japan Vol. 46, No. 1, 74-98 [pdf].
- Richard J. Boucherie, Xiuli Chao and M. Miyazawa (2003) Arrival first queueing networks with applications in kanban production systems, Performance Evaluation 51, Issues 2-4, 83-102.
- H. Takada and M. Miyazawa (2002) A Markov modulated fluid queue with batch arrivals and preemption. Stochastic Models 18(4), 529-552 [pdf].
- M. Miyazawa and H. Takada (2002) A matrix exponential form for hitting probabilities and its application to a Markov modulated fluid queue with downward jumps. Journal of Applied Probability 39/3, 604 -618 [pdf].
- T. Kodera and M. Miyazawa (2002) An M/G/1 queue with Markov dependent exceptional service times. Operations Research Letters 30, 231-244 [pdf].
- M. Miyazawa (2002) A Markov renewal approach to the asymptotic decay of the tail probabilities in risk and queueing processes. Probability in the Engineering and Informational Sciences 16, 139-150 [pdf].
- O. Kella and M. Miyazawa (2001) Parallel fluid queues with constant inflows and simultaneous random reductions. JAP 38, No. 3, 609-620 [pdf].
- D. Aldous, M. Miyazawa and T. Rolski (2001) On the stability of a batch clearing system with Poisson arrivals and subadditive service times. JAP 38, No. 3, 621-634 [pdf].
- M. Miyazawa and H. Takada (2001) Traffic Flows and Product Form Solutions in Stochastic Transfer Networks. Queueing Systems 37, 199-232 .
- M. Miyazawa, G. Nieuwenhuis and K. Sigman (2001) Palm theory for random time changes. Journal of Applied Mathematics and Stochastic Analysis 14, 55-74.
- H. Kengaku and M. Miyazawa (2000) A Regenerative Cycle Approach to an M/G/1 Queue with Exceptional Service. Journal of the Operations Research Society of Japan 43, 486-504 (open access).
- X. Chao and M. Miyazawa (2000) On truncation properties of finite-buffer queues and queueing networks. Probability in the Engineering and Informational Science 14, 409-423.
- X. Chao and M. Miyazawa (2000) Queueing networks with instantaneous movements: A coupling approach by quasi-reversibility. Adv. Appl. Prob. 32, 284-313.
- M. Miyazawa (1999) Reallocatable GSMP with sequentially dependent lifetimes: Clockwise decomposability and its applications. In Applied Probability and Stochastic Processes, edited by J. G. Shanthikumar and U. Sumita, 149-172, Kluwer Academic Publishers, Boston [pdf].
- H. Yamashita and M. Miyazawa (1998) Product form queueing networks with concurrent movements. Adv. Appl. Prob. 30, 1111-1129.
- X. Chao and M. Miyazawa (1998) On quasi-reversibility and local balance: An alternative derivation of the product-form results. Opns. Res 46, 927-933.
- X. Chao, M. Miyazawa, R. Serfozo and H. Takada (1998) Markov Network Processes with Product Form Stationary Distributions. Queueing Systems 28, 377-403.
- N. M. van Dijk and M. Miyazawa (1997) Error bounds on a practical approximation for finite tandem queues. OR Letters 21(4), 201-208.
- M. Miyazawa and V. Schmidt (1997), On Level Crossings of Stochastic Processes with Stationary Bounded Variations and Continuous Decreasing Components. Probability and Mathematical Statistics 17, 79-93.
- M. Miyazawa and P. G. Taylor (1997), A geometric product-form distribution for a queueing network with nonstandard batch arrivals and batch transfers. Adv. Appl. Prob. 29, 523-544.
- M. Miyazawa (1997), Structure-reversibility and departure rules of queueing networks with batch movements and state dependent routing. Queueing Systems 25, 45-75.
- M. Miyazawa and N. M. van Dijk (1997), A note on bounds and error bounds for non-exponential batch arrival systems. Probability in the Engineering and Informational Sciences 11, 189-201.
- M. Miyazawa (1996), Stability of discrete-time Jackson networks with batch movements, ``Stochastic Networks: Stability and Rare Events" ed. P. Glasserman, K. Sigman and D. D. Yao, Lecture Notes in Statistics 117 (Springer), 75-94.
- M. Miyazawa and R. W. Wolff (1996) Symmetric queues with batch departures and their network. Adv. Appl. Prob. 28, 308-326.
- G. Yamazaki and M. Miyazawa (1995) Decomposability in queues with background states. Queueing Systems 20, 453-469.
- M. Miyazawa (1995) Note on my paper: On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Queueing Systems 19, 445-448.
- Y. Takahashi and M. Miyazawa (1995) Relationship between queue-length and waiting time distributions in a stationary discrete-time queue. Stochastic Models 11 (2), 249-271.
- M. Miyazawa, R. Schassberger and V. Schmidt (1995) On the structure of an insensitive generalized semi-Markov process with reallocation and with point-process input. Adv. Appl. Prob. 27, 203-225.
- M. Miyazawa (1995) Note on generalizations of Mecke's formulas and extensions of H=lG. J. Appl. Prob. 32, 105-122.
- M. Miyazawa (1994) On the characterization of departure rules for discrete-time queueing networks with batch movements and its applications. Queueing Systems 18, 149-166.
- M. Miyazawa (1994) Palm calculus for a process with a stationary random measure and its applications to fluid queues. Queueing Systems 17, 183-211 [pdf].
- Y. Takahashi and M. Miyazawa (1994) Relationship between queue-length and waiting time distributions in a priority queue with batch arrivals. Journal of the Operations Research Society of Japan 37, 48-63 (open access).
- M. Miyazawa (1994) Decomposition formulas for single server queues with server vacations - A unified approach by the rate conservation law. Stochastic Models 10, 389-413 [pdf].
- M. Miyazawa (1994) Time-dependent rate conservation law for a process defined with a stationary marked point process and its applications. J. Appl. Prob. 31, 114-129.
- M. Miyazawa (1994) Rate conservation laws: a survey. Queueing Systems 15, 1-58 [pdf].
- M. Miyazawa and G. Yamazaki (1993), Note on batch arrival LCFS and related symmetric queues. OR letters 43, 177-189.
- M. Miyazawa and V. Schmidt (1993) On ladder height distributions of general risk processes. Annals of Applied Probability 3, 763-776.
- M. Miyazawa (1993) Insensitivity and product-form decomposability of Reallocatable GSMP. Adv. Appl. Prob. 25, 415-437.
- H. Sakasegawa, M. Miyazawa and G. Yamazaki (1993) Evaluating the overflow probability using the infinite queue. Management Science39, 1238-1245.
- I. Kino and M. Miyazawa (1993) The stationary work in system of a G/G/1 gradual input queue. J. Appl. Prob. 30, 207-222.
- M. Miyazawa and H. Tijms (1993) Comparison of two approximations for the loss probability in finite buffer queues. Probability in the Engineering and Informational Science Vol. 7, 19-27.
- M. Miyazawa and Y. Takahashi (1992) Rate conservation principle for discrete time queues. Queueing Systems 12, 215-229.
- M. Miyazawa and G. Yamazaki (1992) Relationships in stationary jump processes with countable state space and their applications to queues. Stochastic Processes and their Applications 43, No. 2, 177-189.
- M. Miyazawa and G. Yamazaki (1992) Loss probability of a burst arrival finite queue with synchronized service. Probability in the Engineering and Informational Science Vol. 5, 201-216 .
- M. Miyazawa (1992) On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies. J. Appl. Prob. 29, 430-440.
- G. Yamazaki, K. Sigman and M. Miyazawa (1992) Moments in infinite channel queues. Computer and Mathematics with Applications Vol. 24, 1-6.
- M. Miyazawa (1991) The characterization of the steady state distributions of the supplemented self-clocking jump processes. Math. of OR, Vol. 16,, 547-565.
- M. Miyazawa and G. Yamazaki (1991) Convex ordering of the attained waiting times in single server queues and related problems. J. Appl. Prob. Vol. 27, 433-445.
- G. Yamazaki and M. Miyazawa (1991) The equality of the work load and total attained waiting time in average. J. Appl. Prob., Vol. 27, 198-209.
- M. Miyazawa and J. George Shanthikumar (1991) Monotonicity of the loss probability of single server finite queue with respect to convex order of arrival or service processes. Probability in the Engineering and Informational Sciences, Vol. 5, 43-53.
- M. Miyazawa and Ronald W. Wolff (1990) Further results on ASTA for stationary processes. J. Appl. Prob., Vol. 26, 792-804.
- M. Miyazawa (1990) Complementary generating functions for the MX/GI/1/k and GI/MY/1/k queues and their application to the comparison of loss probabilities. J. Appl. Prob., Vol. 27, 684-692.
- M. Miyazawa (1989) Comparison of the loss probability of GIX/GI/1/k queues with a common traffic intensity. Journal of the Operations Research Society of Japan Vol. 32, 505-516 (open access).
- M. Miyazawa and G. Yamazaki (1988) The basic equations for a supplemented GSMP and its applications to queues. J. Appl. Prob., Vol. 25, 565-578.
- D. König and M. Miyazawa (1988) Relationships and decomposition in the Delayed Bernoulli Feedback queueing system. J. Appl. Prob., Vol. 25, 169-183.
- M. Miyazawa (1987) A generalized Pollaczek-Khinchine formula for the GI/GI/1/k queue and its application to approximation. Stochastic Models, Vol. 3, 53-65 [pdf].
- M. Miyazawa (1986) Approximation of the queue-length distribution of an M/GI/c queue by the basic equations. J. Appl. Prob. Vol. 23, 443-458 [pdf].
- M. Miyazawa (1985) The intensity conservation law for queues with randomly changed service rate. J. Appl. Prob. Vol. 22, 408-418.
- M. Miyazawa (1983) The derivation of invariance relations in complex queueing systems with stationary inputs. Adv. Appl. Prob., Vol. 15, 874-885.
- D. König, M. Miyazawa and V. Schmidt (1983) On the identification of Poisson arrivals in queues with coinciding time-stationary and customer-stationary state distributions. J. Appl. Prob., Vol. 20, 860-871.
- M. Miyazawa (1982) Simple derivation of the invariance relations and their applications. J. Appl. Prob., Vol. 19, 183-194.
- M. Miyazawa (1981) Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Math. Operationsforsch. Statist. Ser. Optimization., Vol. 12, 281-293.
- M. Miyazawa (1979) A formal approach to queueing processes in the steady state and their applications. J. Appl. Prob., Vol. 16, 332-346.
- M. Miyazawa (1977) Time and customer processes in queues with stationary inputs. J. Appl. Prob., Vol. 14, 349-357.
- M. Miyazawa (1976) Stochastic order relations among GI/GI/1 queues with a common traffic intensity. Journal of the Operations Research Society of Japan Vol. 19, 193-208 (open access).
- M. Miyazawa (2002), A paradigm of Markov additive processes for queues and their networks. The Proceedings of Fourth International Conference on Matrix Analytic Methods in Stochastic Models in Adelaide, 265-289, Australia, July, 2002.
- R. J. Boucherie, X. Chao and M. Miyazawa (2000), Arrival first networks of queues with product form solution. In: Proceedings QNETs 2000: Fourth International Workshop on Queueing Networks with Finite Capacity, Craiglands Hotel, Ilkley, West Yorkshire, UK, 20-21 July 2000, D. Kouvatsos (ed.), pp. 8/1-8/15.
- M. Miyazawa (1997) Response times in a queueing network with negative customers and RGSMP with interruptions. Proceeding of PMCCN 97 Workshop 3, Tukuba, Japan.
- M. Miyazawa (1985) Approximations for a single server queue with a branching Poisson arrival process. Teletraffic Issues in an Advanced Information Society, ITC11, Vol. 1, 3.1-A-1, 1-4, North-Holland.
- M. Miyazawa (1984) Approximations of the steady state distributions in queues. Fundamentals of the teletraffic theory, Proceedings of the Third International Seminar on Teletraffic Theory, 310-321.
- M. Miyazawa, Y. Sakuma, S. Yamaguchi (2005) Technical report for a finite buffer queue with QBD structure [pdf].
- G. Yamazaki, M. Miyazawa and K. Sigman (1993), Queues wuth continuous burst arrivals: moments of workload. Preprint.
- M. Miyazawa (1991) The rate conservation law with multiplicity and its applications to queues. Res. Rep. Science University of Tokyo.
- M. Miyazawa, G. Yamazaki and K. Sigmann (1991) On active bursts in a queue with continuous burst arrivals. Procedings of the seminar on information networks and their perfomance evaluation, 192-100, Hamanako, Japan.
- M. Miyazawa and J. George Shanthikumar (1990) Poisson Process is Better than Geometric Branching Poisson Process.
- A. Ichikawa and M. Miyazawa (1989) On the effect of queue length dependent priority disciplines for single server queues with two types of customers. Res. Rep. Science University of Tokyo.
- M. Miyazawa (1975) On the existence of some limit distributions in queues with stationary loads. Res. Rep. B-24, Dept. of Information Sciences, Tokyo Institute of Technology.
- M. Miyazawa (1974) On the rate of convergence of waiting time distribution. Res. Rep. B-1, Dept. of Information Science, Tokyo Institute of Technology.
- M. Miyazawa (2015) Queues and my research--Possibility of theoretical study--. Operations Research Journal, Vol. 60, No. 1, 34-40 [pdf] (in Japanese).
- M. Miyazawa (1999) Queueing theory as the theory of Stochastic processes, Applied Mathematics Vol. 9, No. 2, 4-13 (in Japanese).
- M. Miyazawa (1999) Queueing networks and bottlenecks, SUT Bulletin 1999-2, 15-21 (in Japanese).
- M. Miyazawa (1998) Queueing networks and product form solutions, Operations Research Journal, Vol. 43, No. 8, 442-448 (in Japanese).
- M. Miyazawa (1991) Point processes in queueing models and the rate conservation laws, Operations Research Journal, Vol. 36, No. 4, 164-168 (in Japanese).
- M. Miyazawa (1988) Queueing theory in United States, Operations Research Journal, Vol. 33, No. 5, 235-237 (in Japanese).
- M. Miyazawa (1981) a la carte of queueing models - centralization and decentralization (part 2), Operations Research Journal, Vol. 26, No. 4, 221-222 (in Japanese).
- M. Miyazawa (1980) Studies of queueing theory in East Germany and Poland, Operations Research Journal, Vol. 25, No. 7, 478-479 (in Japanese).
- M. Mori and M. Miyazawa (1976) Semi-ordering in queueing theory, Operations Research Journal, Vol. 21, No.6, 338-343 (in Japanese).
- M. Miyazawa (2019) "Dialogue: Introduction to Stochastic Process" Gendai Sugakusha, Kyoto, Japan (in Japanese).
- M. Miyazawa (2013) Mathematical modeling for queues and its applications, revised, Makino-shoten, Tokyo, Japan (in Japanese).
- M. Miyazawa (2010) "Palm Calculus, Reallocatable GSMP and Insensitivity Structure" in Queueing Networks: A Fundamental Approach (International Series in Operations Research & Management Science), edited by R.J. Boucherie, N.M. van Dijk, Chapter 4, 141-215, Springer, Singapore [pdf].
- M. Miyazawa (2006) Mathematical modeling for queues and its applications, Makino-shoten, Tokyo, Japan (in Japanese).
- X. Chao, M. Miyazawa and M. Pinedo (1999) Queueing Networks, Customers, Signals and Product Form Solutions, Wiley, Chichester.
- M. Miyazawa (1993) Probability and Stochastic processes, Kindai Kagaku-sha, Tokyo, Japan (in Japanese).
- M. Mori, M. Miyazawa, S. Ikuta, S. Morito and Y. Yamada (1989) Operations Research II, Asakura-shoten, Tokyo, Japan (in Japanese).