ISSN:
1572-9443
Keywords:
dam
;
storage process
;
saturation rule
;
intermittent production
;
state dependent rates
;
state dependent jumps
;
stability
;
positive Harris recurrence
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract We consider a dam process with a general (state dependent) release rule and a pure jump input process, where the jump sizes are state dependent. We give sufficient conditions under which the process has a stationary version in the case where the jump times and sizes are governed by a marked point process which is point (Palm) stationary and ergodic. We give special attention to the Markov and Markov regenerative cases for which the main stability condition is weakened. We then study an intermittent production process with state dependent rates. We provide sufficient conditions for stability for this process and show that if these conditions are satisfied, then an interesting new relationship exists between the stationary distribution of this process and a dam process of the type we explore here.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01149079
