A mountain process with state dependent input and output and a correlated dam

Operations Research Letters

Volumn 30, Issue 4, 2002, Pages 245-251

  Perry, David ^a   Posner, M J M ^b  

^a UNIVERSITY OF HAIFA   (Israel)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; PREVENTIVE MAINTENANCE; PROBABILITY; THEOREM PROVING;

MOUNTAIN PROCESS;

QUEUEING THEORY;

EID: 0036699075     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(02)00178-5     Document Type: Article

References (7)

1. Boxma O.J., Perry D., van der Duyn Schouten F. Fluid queues and mountain processes. Probab. Eng. Inform. Sci. 13:1999;407-427.
2. Doshi B.T. Level crossing analysis of queues. Bhat U.N., Basawa I.V. Queueing and Related Models. 1992;3-33 Clarendon Press, Oxford.
3. Harrison J.M., Resnick S.I. The stationary distribution and first exit probabilities of a storage process with general release rule. Math. Oper. Res. 1:1976;347-358.
4. Kaspi H., Kella O., Perry D. Dam processes with state dependent batch sizes and intermittent production processes with state dependent rates. Queueing Systems. 24:1997;37-57.
5. Kella O., Whitt W. A storage model with a two-state random environment. Oper. Res. 40:1992;S257-S262.
6. Perry D., Posner M.J.M. A correlated. M/G/1 -type queue with randomized server repair and maintenance modes Oper. Res. Letts. 26(3):2000;137-147.
7. Wolff R. Stochastic Modeling and the Theory of Queues. 1989;Prentice-Hall, Englewood Cliffs, NJ.