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2014 | 13 | 2 | 7-22

Article title

The Jackson Queueing Network Model Built Using Poisson Measures. Application To A Bank Model

Authors

Title variants

Languages of publication

EN

Abstracts

EN
In this paper we will build a bank model using Poisson measures and Jackson queueing networks. We take into account the relationship between the Poisson and the exponential distributions, and we consider for each credit/deposit type a node where shocks are modeled as the compound Poisson processes. The transmissions of the shocks are modeled as moving between nodes in Jackson queueing networks, the external shocks are modeled as external arrivals, and the absorption of shocks as departures from the network.

Publisher

Year

Volume

13

Issue

2

Pages

7-22

Physical description

Dates

received
2013-09-15
accepted
2014-01-17
online
2014-07-08

Contributors

author
  • Technical University of Civil Engineering Bucharest Faculty of Civil, Industrial and Agricultural Engineering Department of Mathematics and Computer Science Bd. Lacul Tei No. 124, Sector 2, Bucharest 020396, Romania. Romanian Institute for Economic Forecasting, Calea 13 Septembrie No. 13, Bucharest, Romania.

References

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  • Asmussen, S. & Rosinski, J. (2001). Approximations of small jumps of Lévy processes with a view towards simulation. J. Appl. Probab. 38 (2), 482–493.
  • Ciuiu, D. (2009). Sisteme şi reţele de servire. Bucharest: Matrix Rom. (English: “Queueing Systems and Queueing Networks’’).
  • Cont, R. & Tankov, P. (2004). Financial Modeling with Jump Processes. Boca Raton, London, New York, Washinton: Chapman & Hall/CRC Financial Mathematics Series.
  • Drăgan, I-M. & Simionescu, M. (2013). The Natural Tolerance Limit for the Inverse Weibull Model and the Optimization of Technical Systems. International Journal of Academic Research, 5 (6), 7–12.
  • Garzia, M., Garzia, R., Kiemele, M. & Lockhart, C. (1990). Network Modeling, Simulation and Analysis. New York, Basel: Marcel Decker.
  • Geman, H., Madan, D. & Yor, M. (2001). Asset Prices are Brownian Motion: Only in Business Time. In Quantitative Analysis in Finance Markets. Ed. Marco Avellaneda, World Scientific, 103–146.
  • Kleinrock, L. (1975). Queueing Systems. John Wiley and Sons.
  • Purcaru, I. & Purcaru, O. (2005). Introducere în matematici financiare. Modele şi formule. Bucharest: Biblioteca de Economie Matematică. English: Introduction to Financial Mathematics. Models and Formulae.
  • Singh, V.P. & Guo, H. (1995). Parameter estimation for 3-parameter generalized Pareto distribution by the principle of maximum entropy, Hydrological Sciences. Journal des Sciences Hydrologiques 40 (2), 165–181.
  • Zbăganu, Gh. (2004). Metode matematice în teoria riscului şi actuariat. Ed. Universităţii Bucureşti. English: Mathematical methods in risk theory and actuaries.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.doi-10_2478_foli-2013-0016
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