On a first passage problem in general queueing systems with multiple vacations.
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Dshalalow, Jewgeni H. (1992)
Journal of Applied Mathematics and Stochastic Analysis
Abolnikov, Lev, Dshalalow, Jewgeni H. (1992)
Journal of Applied Mathematics and Stochastic Analysis
Dshalalow, Jewgeni H., Russell, Gary (1992)
International Journal of Mathematics and Mathematical Sciences
Lev Greenberg, Dmitry Ioffe (2005)
Annales de l'I.H.P. Probabilités et statistiques
Dshalalow, Jewgeni H. (1996)
Journal of Applied Mathematics and Stochastic Analysis
Dshalalow, Jewgeni H. (1993)
Journal of Applied Mathematics and Stochastic Analysis
Catherine Donati-Martin, Raouf Ghomrasni, Marc Yor (2001)
Revista Matemática Iberoamericana
We obtain a closed formula for the Laplace transform of the first moment of certain exponential functionals of Brownian motion with drift, which gives the price of Asian options. The proof relies on an identity in law between the average on [0,t] of a geometric Brownian motion and the value at time t of a Markov process, for which we can compute explicitly the resolvent.
Dshalalow, Jewgeni H., Bacot, Jean-Baptiste (2001)
International Journal of Mathematics and Mathematical Sciences
Dshalalow, Jewgeni H. (1998)
Journal of Applied Mathematics and Stochastic Analysis
Dshalalow, Jewgeni H. (1991)
Journal of Applied Mathematics and Stochastic Analysis
Petr Mandl (1985)
Banach Center Publications
Ken R. Duffy, Claudio Macci, Giovanni Luca Torrisi (2011)
ESAIM: Probability and Statistics
We prove that the large deviation principle holds for a class of processes inspired by semi-Markov additive processes. For the processes we consider, the sojourn times in the phase process need not be independent and identically distributed. Moreover the state selection process need not be independent of the sojourn times. We assume that the phase process takes values in a finite set and that the order in which elements in the set, called states, are visited is selected stochastically. The sojourn...
Ken R. Duffy, Claudio Macci, Giovanni Luca Torrisi (2012)
ESAIM: Probability and Statistics
We prove that the large deviation principle holds for a class of processes inspired by semi-Markov additive processes. For the processes we consider, the sojourn times in the phase process need not be independent and identically distributed. Moreover the state selection process need not be independent of the sojourn times. We assume that the phase process takes values in a finite set and that the order in which elements in the set, called states, are visited is selected stochastically. The sojourn...
Gnedin, Alexander, Yakubovich, Yuri (2007)
Electronic Journal of Probability [electronic only]
Alexander Zeifman, Yacov Satin, Victor Korolev, Sergey Shorgin (2014)
International Journal of Applied Mathematics and Computer Science
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