TY - JOUR
T1 - On/off storage systems with state-dependent input, output, and switching rates
AU - Boxma, Onno
AU - Kaspi, Haya
AU - Kella, Offer
AU - Perry, David
PY - 2005
Y1 - 2005
N2 - We consider a storage model that can be on or off. When on, the content increases at some state-dependent rate and the system can switch to the off state at a state-dependent rate as well. When off, the content decreases at some state-dependent rate (unless it is at zero) and the system can switch to the on position at a state-dependent rate. This process is a special case of a piecewise deterministic Markov process. We identify the stationary distribution and conditions for its existence and uniqueness.
AB - We consider a storage model that can be on or off. When on, the content increases at some state-dependent rate and the system can switch to the off state at a state-dependent rate as well. When off, the content decreases at some state-dependent rate (unless it is at zero) and the system can switch to the on position at a state-dependent rate. This process is a special case of a piecewise deterministic Markov process. We identify the stationary distribution and conditions for its existence and uniqueness.
UR - http://www.scopus.com/inward/record.url?scp=12144255002&partnerID=8YFLogxK
U2 - 10.1017/s0269964805050011
DO - 10.1017/s0269964805050011
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AN - SCOPUS:12144255002
SN - 0269-9648
VL - 19
SP - 1
EP - 14
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 1
ER -