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Mathematische Operationsforschung und Statistik. Series Optimization Volume 9, 1978 - Issue 1
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Original Articles

Stochastic processes with imbedded marked point processes (pmp) and thcir application in queneing

D König Bergakademie Freiberg, Sektion Mathematik, Freiberg, DDR-92Bernh.-von-Cotta-Str. 2
,
T Rolski Mathematical Institute, University of Wroclaw, pl. Grunwaldzki 2/4, Wroclaw, 50-384, Poland
,
V Schmidt Bergakademie Freiberg, Sektion Mathematik, Freiberg, DDR-92Bernh.-von-Cotta-Str. 2
&
D Stoyan Bergakademie Freiberg, Sektion Mathematik, Freiberg, DDR-92Bernh.-von-Cotta-Str. 2
Pages 125-141 | Published online: 05 Jul 2007

Citations (26)

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Read on this site (7)

V. Schmidt. (1987) Qualitative and asymptotic properties of stochastic integrals related to random marked point processes. Optimization 18:5, pages 737-759.
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Volker Schmidt. (1984) The stationary waiting time process in single-server priority queues with general low priority arrival process. Mathematische Operationsforschung und Statistik. Series Optimization 15:2, pages 301-312.
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Arnfried Streller. (1982) On stochastie processes with an embedded marked point process. Series Statistics 13:4, pages 561-576.
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S. Jolkof & V. Rykov. (1981) Generalized regenerative processes with embedded regeneration periods and their application. Mathematische Operationsforschung und Statistik. Series Optimization 12:4, pages 575-591.
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Uwe Jansen. (1981) On the poisson output of queueing systems with dependent service times. Mathematische Operationsforschung und Statistik. Series Optimization 12:3, pages 463-472.
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Masakiyo Miyazawa. (1981) Note on Palm measures in the intensity conservation law and inversion formula in PMP and their applications. Mathematische Operationsforschung und Statistik. Series Optimization 12:2, pages 281-293.
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V. Schmidt. (1978) On some relations between stationary time and customer state probabilities for qneueing systems G/GI/s/r . Mathematische Operationsforschung und Statistik. Series Optimization 9:2, pages 261-272.
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Articles from other publishers (19)

Chaitanya Kalavagunta, Xiangmin Zhou, Stephen C. Schmechel & Gregory J. Metzger. (2014) Registration of in vivo prostate MRI and pseudo‐whole mount histology using Local Affine Transformations guided by Internal Structures (LATIS). Journal of Magnetic Resonance Imaging 41:4, pages 1104-1114.
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Masakiyo Miyazawa. (1994) Rate conservation laws: A survey. Queueing Systems 15:1-4, pages 1-58.
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Masakiyo Miyazawa & Yoshitaka Takahashi. (1992) Rate conservation principle for discrete-time queues. Queueing Systems 12:3-4, pages 215-229.
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Yoshitaka Takahashi. (1988) On the relationship between work load and waiting time in single server queues with batch inputs. Operations Research Letters 7:1, pages 51-56.
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Ralph L. Disney & Dieter König. (1985) Queueing Networks: A Survey of Their Random Processes. SIAM Review 27:3, pages 335-403.
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Masakiyo Miyazawa. (2016) The intensity conservation law for queues with randomly changed service rate. Journal of Applied Probability 22:2, pages 408-418.
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Masakiyo Miyazawa. (2016) The derivation of invariance relations in complex queueing systems with stationary inputs. Advances in Applied Probability 15:4, pages 874-885.
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D. K�nig, V. V. Rykov & V. Schmidt. (1983) Stationary queuing systems with dependencies. Journal of Soviet Mathematics 21:6, pages 938-994.
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Volker Schmidt. (1983) Stationary processes with piecewise monotonous trajectories. Mathematische Nachrichten 113:1, pages 93-105.
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J. G. Shanthikumar & M. Jeya Chandra. (2006) Application of level crossing analysis to discrete state processes in queueing systems. Naval Research Logistics Quarterly 29:4, pages 593-608.
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Masakiyo Miyazawa. (2016) Simple derivations of the invariance relations and their applications. Journal of Applied Probability 19:1, pages 183-194.
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Masakiyo Miyazawa. (2016) Simple derivations of the invariance relations and their applications. Journal of Applied Probability 19:01, pages 183-194.
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D. König & V. Schmidt. (2016) Stochastic inequalities between customer-stationary and time-stationary characteristics of queueing systems with point processes. Journal of Applied Probability 17:3, pages 768-777.
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D. König & V. Schmidt. (2016) Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processes. Journal of Applied Probability 17:3, pages 753-767.
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D. König & V. Schmidt. (2016) Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processes. Journal of Applied Probability 17:03, pages 753-767.
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Peter Franken & Arnfried Streller. (2016) Reliability analysis of complex repairable systems by means of marked point processes. Journal of Applied Probability 17:1, pages 154-167.
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Peter Franken & Arnfried Streller. (2016) Reliability analysis of complex repairable systems by means of marked point processes. Journal of Applied Probability 17:01, pages 154-167.
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Masakiyo Miyazawa. (2016) A formal approach to queueing processes in the steady state and their applications. Journal of Applied Probability 16:2, pages 332-346.
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Tomasz Rolski. (2016) A rate-conservative principle for stationary piecewise Markov processes. Advances in Applied Probability 10:2, pages 392-410.
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