On the Output Stream and the Joint Distribution of Sojourn Times in a Multiphase System with Identical Service

1996 ◽  
Vol 40 (3) ◽  
pp. 581-588 ◽  
Author(s):  
O. P. Vinogradov
Keyword(s):  
Joint Distribution ◽  
Multiphase System ◽  
Sojourn Times ◽  
Output Stream

The joint distribution of sojourn times in finite Markov processes

1992 ◽  
Vol 24 (1) ◽  
pp. 141-160 ◽  
Author(s):  
Attila Csenki
Keyword(s):  
Markov Chains ◽  
Joint Distribution ◽  
Probabilistic Reasoning ◽  
Fault Tolerant ◽  
Time Discretization ◽  
Cumulative Distribution ◽  
Multiprocessor System ◽  
Probability Mass Function ◽  
Sojourn Times ◽  
Absorbing Markov Chains

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 respectively the probability mass function and the cumulative distribution function of the joint distribution of the first m sojourn times. A concise derivation of the continuous-time result is achieved by deducing it from the discrete-time formulation by time discretization. Generalizing some further recent results by Rubino and Sericola (1991), the joint distribution of sojourn times for absorbing Markov chains is also derived. As a numerical example, the model of a fault-tolerant multiprocessor system is considered.

Sojourn times in closed queueing networks

1983 ◽  
Vol 15 (03) ◽  
pp. 638-656 ◽  
Author(s):  
F. P. Kelly ◽  
P. K. Pollett
Keyword(s):  
Free Path ◽  
Queueing Networks ◽  
Joint Distribution ◽  
The State ◽  
Product Form ◽  
Closed Queueing Networks ◽  
Jackson Network ◽  
Simple Representation ◽  
Sojourn Times

This paper obtains the stationary joint distribution of a customer's sojourn times along an overtake-free path in a closed multiclass Jackson network. The distribution has a simple representation in terms of the product form distribution for the state of the network at an arrival instant.

The joint distribution of sojourn times in finite Markov processes

1992 ◽  
Vol 24 (01) ◽  
pp. 141-160 ◽  
Author(s):  
Attila Csenki
Keyword(s):  
Markov Chains ◽  
Joint Distribution ◽  
Probabilistic Reasoning ◽  
Fault Tolerant ◽  
Time Discretization ◽  
Cumulative Distribution ◽  
Multiprocessor System ◽  
Probability Mass Function ◽  
Sojourn Times ◽  
Absorbing Markov Chains

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 respectively the probability mass function and the cumulative distribution function of the joint distribution of the first m sojourn times. A concise derivation of the continuous-time result is achieved by deducing it from the discrete-time formulation by time discretization. Generalizing some further recent results by Rubino and Sericola (1991), the joint distribution of sojourn times for absorbing Markov chains is also derived. As a numerical example, the model of a fault-tolerant multiprocessor system is considered.

Sojourn times in closed queueing networks

1983 ◽  
Vol 15 (3) ◽  
pp. 638-656 ◽  
Author(s):  
F. P. Kelly ◽  
P. K. Pollett
Keyword(s):  
Free Path ◽  
Queueing Networks ◽  
Joint Distribution ◽  
The State ◽  
Product Form ◽  
Closed Queueing Networks ◽  
Jackson Network ◽  
Simple Representation ◽  
Sojourn Times

This paper obtains the stationary joint distribution of a customer's sojourn times along an overtake-free path in a closed multiclass Jackson network. The distribution has a simple representation in terms of the product form distribution for the state of the network at an arrival instant.

Emanuel Ringelblum przed wojną: człowiek i historyk

2007 ◽  
pp. 211-220
Author(s):  
Samuel Kassow
Keyword(s):  
Joint Distribution ◽  
Education Agency ◽  
Active Membership

This article discusses the pre-war life of Emanuel Ringelblum – from the organisation of the Junger Historiker Krajz (the circle of young Jewish historians) at Warsaw University, through his YIVO activity, his involvement in the setting up of tourist associations, work for the Joint Distribution Committee as editor-in-chief of „Folkshilf”, active membership in Poale Zion-Left (he ran its most important education agency: the Ovnt kursn far arbiter) to his involvement in organisation of aid for Jews in the transit camp in Zbąszyń in 1938.

Measuring the fluid conductivities of soil in multiphase system

2006 ◽  
Vol 34 (1) ◽  
pp. 239-242
Author(s):  
András Makó ◽  
Barbara Elek
Keyword(s):  
Multiphase System
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