Concluding Remarks
For the system required to perform randomly arriving tasks during a fixed mission duration, an availability measure called random-request availability has been proposed. The stochastic model provides closed-form mathematical expressions, which incorporate three basic elements: the random task arrivals, the system state, and the operational requirements of the system.
The characteristic of the random-request availability is that the random task arrival is included as one of the system elements. Using a simulation method, the effect of the “task arrival” element on the random-request availability has been investigated.
If the mean number of task arrivals grows, the computational complexity for deriving the random-request availability becomes extremely high. A simple approximation metho based on the conventional interval availability is suggested. Its accuracy varies according to the operational requirements of the system, the average task arrival rate, and the average number of on-off cycles (M) during the mission time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lie CH, Hwang CL, Tillman FA. Availability of maintained system: a state-of-the-art survey. AIIE Trans 1977;3:247–59.
Lewis EE. Introduction to reliability engineering. New York: John Wiley & Sons; 1987.
Kapur KC, Lamberson LR. Reliability in engineering design. New York: John Wiley & Sons; 1987.
Rau JG. Optimization and probability in systems engineering. Amsterdam: Van Nostrand Reinhold; 1970.
Birolini A. Quality and reliability of technical systems. Berlin: Springer; 1988.
Reibman AL. Modeling the effect of reliability on performance. IEEE Trans Reliab 1990;3:314–20.
Lazaroiu DF, Staicut E. Congestion-reliability-availability relationship in packet-switching computer networks. IEEE Trans Reliab 1983;4:354–7.
Lee KW. Stochastic models for random-request availability. IEEE Trans Reliab 2000;1:80–4.
Finkelstein MS. Multiple availability on stochastic demand. IEEE Trans Reliab 1999;1:19–24.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag London Limited
About this chapter
Cite this chapter
Lee, K.W. (2003). Random-request Availability. In: Pham, H. (eds) Handbook of Reliability Engineering. Springer, London. https://doi.org/10.1007/1-85233-841-5_35
Download citation
DOI: https://doi.org/10.1007/1-85233-841-5_35
Publisher Name: Springer, London
Print ISBN: 978-1-85233-453-6
Online ISBN: 978-1-85233-841-1
eBook Packages: Springer Book Archive