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Mathematische Operationsforschung und Statistik Volume 7, 1976 - Issue 1
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Original Articles

Monotonicity and comparability of time-homogeneous markov processes with discrete state space

B.M. Kirstein Sektion Mathematik, Humboldt-Universität Berlin, Unter den Linden 6, Berlin, DDR-108
Pages 151-168 | Published online: 27 Jun 2007

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V. G. Kulkarni. (1989) Optimal retrial policies for restrained markov chains. Communications in Statistics. Stochastic Models 5:3, pages 401-429.
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Antonis Economou. 2021. Queueing Theory 2. Queueing Theory 2 137 169 .
Stella Kapodistria, Tuan Phung-Duc & Jacques Resing. (2015) LINEAR BIRTH/IMMIGRATION-DEATH PROCESS WITH BINOMIAL CATASTROPHES. Probability in the Engineering and Informational Sciences 30:1, pages 79-111.
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Andrew G. Hart & Richard L. Tweedie. (2012) Convergence of Invariant Measures of Truncation Approximations to Markov Processes. Applied Mathematics 03:12, pages 2205-2215.
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Fátima Ferreira & António Pacheco. 2011. Network Performance Engineering. Network Performance Engineering 393 422 .
Fátima Ferreira & António Pacheco. (2007) Comparison of level-crossing times for Markov and semi-Markov processes. Statistics & Probability Letters 77:2, pages 151-157.
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Yangrong Li. (2006) Dual and Feller–Reuter–Riley transition functions. Journal of Mathematical Analysis and Applications 313:2, pages 461-474.
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Fátima Ferreira & António Pacheco. (2016) Level Crossing Ordering of Skip-Free-to-the-Right Continuous-Time Markov Chains. Journal of Applied Probability 42:1, pages 52-60.
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Fátima Ferreira & António Pacheco. (2016) Level Crossing Ordering of Skip-Free-to-the-Right Continuous-Time Markov Chains. Journal of Applied Probability 42:01, pages 52-60.
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D.J. Daley & L.D. Servi. (2004) Loss probabilities of hand-in traffic under various protocols. Performance Evaluation 55:3-4, pages 231-249.
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B.L.S. Prakasa Rao & Isha Dewan. 2001. Stochastic Processes: Theory and Methods. Stochastic Processes: Theory and Methods 693 731 .
Yuhui Zhang. (2000) Sufficient and Necessary Conditions for Stochastic Comparability of Jump Processes. Acta Mathematica Sinica, English Series 16:1, pages 99-102.
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Hanjun Zhang & Anyue Chen. (1999) Stochastic Comparability and Dual Q-Functions. Journal of Mathematical Analysis and Applications 234:2, pages 482-499.
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A. Brandt & G. Last. (2006) On the Pathwise Comparison of Jump Processes Driven by Stochastic Intensities. Mathematische Nachrichten 167:1, pages 21-42.
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Günter Last. (1993) On dependent marking and thinning of point processes. Stochastic Processes and their Applications 45:1, pages 73-94.
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Bruno Bassan, Erhan Çinlar & Marco Scarsini. (1993) Stochastic comparisons of Itô processes. Stochastic Processes and their Applications 45:1, pages 1-11.
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Narasinga R. Chaganty & Kumar Joag-dev. 1988. Quality Control and Reliability. Quality Control and Reliability 99 111 .
B. G. Bhaskaran. (1986) Almost sure comparison of birth and death processes with application to M/M/s queueing systems. Queueing Systems 1:1, pages 103-127.
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Nils Lid Hjort, Bent Natvig & Espen Funnemark. (2016) The association in time of a Markov process with application to multistate reliability theory. Journal of Applied Probability 22:2, pages 473-479.
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Werner E. Helm & Karl-Heinz Waldmann. (2016) Optimal control of arrivals to multiserver queues in a random environment. Journal of Applied Probability 21:3, pages 602-615.
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Werner E. Helm & Karl-Heinz Waldmann. (2016) Optimal control of arrivals to multiserver queues in a random environment. Journal of Applied Probability 21:03, pages 602-615.
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Ward Whitt. (2016) Comparing counting processes and queues. Advances in Applied Probability 13:1, pages 207-220.
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R. Noebels. (1981) A note on stochastic order of probability measures and an application to Markov processes. Zeitschrift für Operations Research 25:1, pages 35-43.
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Ward Whitt. (2016) The effect of variability in the GI/G/s queue . Journal of Applied Probability 17:4, pages 1062-1071.
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Ward Whitt. (2016) The effect of variability in the GI/G/s queue. Journal of Applied Probability 17:04, pages 1062-1071.
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David Sonderman. (2016) Comparing multi-server queues with finite waiting rooms, II: Different numbers of servers. Advances in Applied Probability 11:2, pages 448-455.
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David Sonderman. (2016) Comparing multi-server queues with finite waiting rooms, I: Same number of servers. Advances in Applied Probability 11:2, pages 439-447.
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B. M. Kirstein, P. Franken & D. Stoyan. (1977) Comparability and Monotonicity of Markov Processes. Theory of Probability & Its Applications 22:1, pages 40-52.
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Julian Keilson & Adri Kester. (1977) Monotone matrices and monotone Markov processes. Stochastic Processes and their Applications 5:3, pages 231-241.
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