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The joint distribution of sojourn times in finite Markov processes
Advances in Applied Probability, 1992 Rubino and Sericola (1989c) derived expressions for the mth sojourn time distribution associated with a subset of the state space of a homogeneous irreducible Markov chain for both the discrete- and continuous-parameter cases. In the present paper, it is shown that a suitable probabilistic reasoning using absorbing Markov chains can be used to obtain ...
Csenki, Attila
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Insensitive bounds for the moments of the sojourn time distribution in the M/G/1 processor-sharing queue [PDF]
Queueing Systems, 2006 This paper studies the M/G/1 processor-sharing (PS) queue, in particular the sojourn time distribution conditioned on the initial job size. Although several expressions for the Laplace-Stieltjes transform (LST) are known, these expressions are not ...
Hans Van Den Berg +2 more
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On the Sojourn Time Distribution of a Random Walk at a Multidimensional Lattice Point
Theory of Probability & Its Applications, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aparin, A. A. +2 more
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Interpolation Approximations of Sojourn Time Distributions
Operations Research, 1991We present a method for approximating sojourn time distributions in open queueing systems based on light and heavy traffic limits. The method is consistent with and generalizes the interpolation approximations for moments previously presented by M. I. Reiman and B. Simon.
Philip J. Fleming, Burton Simon
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Sojourn Time Distribution in a Multiprogrammed Computer System
AT&T Technical Journal, 1985We present a method for calculating the moments and the distribution of sojourn time in a multiprogrammed computer system. We assume that the CPU and I/O subsystem can be represented by a general state-dependent server who works according to the processor sharing discipline. Further, at most m jobs may be simultaneously receiving service.
Kiran M. Rege, Bhaskar Sengupta
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Semi‐Markov Models with Phase‐Type Sojourn Distributions
Biometrics, 2009Summary Continuous‐time multistate models are widely used for categorical response data, particularly in the modeling of chronic diseases. However, inference is difficult when the process is only observed at discrete time points, with no information about the times or types of events between observation times, unless a Markov assumption is made.
Titman, Andrew C., Sharples, Linda D.
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Numerical Computation of Sojourn-Time Distributions in Queuing Networks
Journal of the ACM, 1984Sojourn time distributions in queuing networks seldom possess closed-form analytical solutions. When overtaking is permitted, the sojourn times at individual nodes are usually dependent, in which case the attendant distribution is mathematically intractable.
Benjamin Melamed, Micha Yadin
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Part sojourn time distribution in a two-machine line
European Journal of Operational Research, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chuan Shi 0002, Stanley B. Gershwin
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An approximation method for sojourn time distributions in telecommunication networks
ICC '98. 1998 IEEE International Conference on Communications. Conference Record. Affiliated with SUPERCOMM'98 (Cat. No.98CH36220), 2002We propose an approximation method for sojourn time distributions in telecommunication networks consisting of general queuing networks. The queuing network is of the open network type, and has n single server queuing systems with arbitrary interconnections. Customers may enter the network at any queuing system.
Jae Uck You +2 more
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The Distribution of the Sojourn Time for the Brownian Excursion
Methodology And Computing In Applied Probability, 1999Let \(\{B(t ...
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