# Miscellaneous Topics

• Shelemyahu Zacks
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2203)

## Abstract

A growth-collapse process is one which grows linearly between random partial collapse times. The jump down of the process at a collapse time has a random size, following some distribution which is conditional on the level of the process at that time. There are many application of such models in geophysics, population growth, insurance models, inventory systems, and more.

## References

1. Boxma, O. Perry, D. Stadje, W. and Zacks, S. (2006). A Markovian Growth-Collapse Model, Adv. Appl. Prob. 38:221–243. Google Scholar
2. Perry, D., Stadje, W. and Zacks, S. (2007). Hysteretic capacity switching for M/G/1 queues. Stochastic Models, 23:277–305. Google Scholar
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