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Publications
* BOOK:
* Szekli, R. (1995) Stochastic Ordering and Dependence in Applied
Probability. Lecture Notes in Statistics 97, Springer Verlag,
New York
Papers:
* Rolski, T. and Szekli, R. (1982) Networks of
work conserving-normal queues. In: Disney, R. L. Ott, T. J. (ed.)
Applied Probability-Computer Science: the Interface
Volume II 477-497
* Szekli, R. (1984) Little's formula for work conserving-normal G/G/1
queues in series. Appl. Math. (Warsaw) 18, 343-350
* Szekli, R. (1986) On the concavity of the waiting time distribution
in some GI/G/1 queues. Journal of Applied Prob. 23, 555-561
* Szekli, R. (1987) A note on moment inequalities for order statistics
from starshaped distributions. Appl. Math. (Warsaw) 19, 65-68
* Szekli, R. (1987) On the complete monotonicity of the waiting time
density in some GI/G/k queues. Queueing Systems 1, 401-406
* Szekli, R. (1988) A note on preservation of self-decomposability
under geometric compouding. Statist. Probab. Lett. 6, 231-236
* Szekli, R. (1990) On the concavity of the infinitesimal renewal
function. Statist. Probab. Lett. 10, 181-184
* with Kwiecinski, A. (1991) Compensator conditions for stochastic
ordering of point processes. Journal of Applied Prob. 28,
751-761
* with Rolski, T. (1991) Stochastic ordering and thinning of point
processes. Stochastic Process and their Appl. 37, 299-312
* with Disney, R. L., Hur, S. (1994) MR/GI/1 queues with positively
correlated arrival stream. Journals of Applied Prob. 31,
497-514
* with Disney, R. L., Hur, S. (1994) Note on performance comparison of
MR/GI/1 queues. Queueing Systems 17, 451-470
* with Daduna, H. (1995) Dependencies in Markovian networks. Advances
in
Applied Prob. 25, 226-254
* with Shaked, M. (1995) Comparison of replacement policies via point
processes. Advances in Applied. Prob. 27, 1079-1103
* with Daduna, H.(1996) A queueing theoretical proof of increasing
property of Polya frequency functions. Statist. Probab. Lett.
26, 233-242
* with Kwiecinski, A. (1996) Some monotonicity and dependence
properties of self exciting point processes. Annals of
Applied Prob.
6, 1211-1231
* with Last, G. (1998) Stochastic comparison of repairable systems by
coupling. Journal of Applied Prob. 35, 348-370
* with Last, G. (1998) Asymptotic and monotonicity properties of
repairable systems. Advances in Applied Prob. 30,
1089-1110
* with Disney, R. L., Morais, P. McNickle, D. Sun, H. (1998) A queue
with correlated arrivals. Investigacion Operativa
2-1998
* with Daduna, H. (2000) On the correlation of sojourn times in
queueing networks of exponential multiserver queues. Queueing
Systems 34, 169-181.
* with Last, G. (1999) Time and Palm stationarity of repairable
systems. Stochastic Processes and their Appl. 79, 17-43
* with Last G. (2001) Moments and Blackwell's convergence for
repairable systems with heavy tailed lifetimes, Markov
Processes
and Related Fields 7, 469-491.
* with Kulik R. (2001) A sufficient condition for long range dependance
of stationary point processes , Journal of Applied Prob.
38, 570-581.
* with Daduna, H. (2002) Conditional job observer properties in
multitype closed queueing networks, Journal of Applied Prob.
39, 865-881
* with Daduna, H.(2003) Dependence structure of sojourn times
via partition separated ordering, Operations Research
Letters 31, 462-472
* with Daduna, H. (2004) On the correlation structure of closed
queueing networks, Stochastic Models 20, 1-29
* with Kulik, R. (2005) Dependence orderings for
some functionals of marked point processes, Journal of
Multivariate Analysis, 92,145-173 pdf
* with H. Daduna, M. Schwarz, C. Sauer, R. Kulik, (2006)
M/M/1
systems with different inventory management policies and lost
sales,
Queueing Systems, 54, 55-78
* with H. Daduna, C. Sauer, R.Kulik, , (2006)
Isotone
differences
ordering of networks with unreliable servers, Probability in
Engineering and Informational Sciences, 20, 575-594
* with H. Daduna
(2006) Dependence ordering of Markov Processes, Journal of
Applied
Prob. 43, 1-22, pdf
* (2007) Stochastic ordering for queueing networks, Chapter
in
preparation for "Queueing networks: A fundamental approach" VanDijk,
Boucherie, ed. pdf
* (2008) with Hans Daduna, Christian Malchin, Weak
convergence
limits for sojourn times in cyclic queues under heavy traffic
conditions, pdf, J. Appl. Probab. Volume 45,
Number 2 (2008), 333-346.
*with H. Daduna (2008) Impact of routing on
correlation
strength in stationary queueing network processes, Journal of
Applied Prob.
Volume 45, Number 4 pdf
*with P. Lorek
(2008) Spectral gap, heavy tails and speed of convergence for
unreliable Jackson networks, submitted pdf
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