Article contents
Threshold strategies for risk processes and their relation to queueing theory
Published online by Cambridge University Press: 14 July 2016
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We consider a risk model with threshold strategy, where the insurance company pays off a certain percentage of the income as dividend whenever the current surplus is larger than a given threshold. We investigate the ruin time, ruin probability, and the total dividend, using methods and results from queueing theory.
MSC classification
- Type
- Part 1. Risk Theory
- Information
- Journal of Applied Probability , Volume 48 , Issue A: New Frontiers in Applied Probability (Journal of Applied Probability Special Volume 48A) , August 2011 , pp. 29 - 38
- Copyright
- Copyright © Applied Probability Trust 2011
References
[1]
Adan, I., Boxma, O. and Perry, D., (2005). The G/M/1 queue revisited. Math. Meth. Operat. Res. 62, 437–452.CrossRefGoogle Scholar
[2]
Asmussen, S. and Petersen, S. S., (1988). Ruin probabilities expressed in terms of storage processes. Adv. Appl. Prob. 20, 913–916.CrossRefGoogle Scholar
[3]
Cohen, J. W., (1982). The Single Server Queue (N. Holland Ser. Appl. Math. Mech. 8). North-Holland, Amsterdam.Google Scholar
[4]
Gaver, D. P. Jr. and Miller, R. G. Jr., (1962). Limiting distributions for some storage problems. In Studies in Applied Probability and Management Science, Stanford University Press, pp. 110–126.Google Scholar
[5]
Gerber, H. U. and Shiu, E. S. W., (2006). On optimal dividend strategies in the compound Poisson model. N. Amer. Actuarial J. 10, 76–93.CrossRefGoogle Scholar
[6]
Li, S. and Garrido, J., (2004). On a class of renewal risk models with a constant dividend barrier. Insurance Math. Econom. 35, 691–701.CrossRefGoogle Scholar
[7]
Lin, X. S. and Pavlova, K. P., (2006). The compound Poisson risk model with a threshold dividend strategy. Insurance Math. Econom. 38, 57–80.CrossRefGoogle Scholar
[8]
Lin, X. S., Willmot, G. E. and Drekic, S., (2003). The classical risk model with a constant dividend barrier: analysis of the Gerber–Shiu discounted penalty function. Insurance Math. Econom. 33, 551–566.Google Scholar
[9]
Löpker, A. and Perry, D., (2010). The idle period of the finite G/M/1 queue with an interpretation in risk theory. Queueing Systems
64, 395–407.CrossRefGoogle Scholar
[10]
Perry, D., Stadje, W. and Zacks, S., (2000). Busy period analysis for M/G/1 and G/M/1 type queues with restricted accessibility. Operat. Res. Lett. 27, 163–174.CrossRefGoogle Scholar
[11]
Prabhu, N. U., (1997). Stochastic Storage Processes, 2nd edn.
Springer, New York.Google Scholar
You have
Access
- 4
- Cited by