Continuum structure function: Difference between revisions
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In [[mathematics]], a '''continuum structure function (CSF)''' is defined by [[Laurence Baxter]] as a nondecreasing [[map (mathematics)|map]] | In [[mathematics]], a '''continuum structure function (CSF)''' is defined by [[Laurence Baxter]] as a nondecreasing [[map (mathematics)|map]]ing from the unit [[hypercube]] to the unit [[interval (mathematics)|interval]]. It is used by Baxter to help in the [[Mathematical model]]ling of the level of performance of a system in terms of the performance levels of its components.<ref>{{cite journal | ||
| last1=Baxter | first1=Laurence A. | authorlink1=Laurence Baxter | | last1=Baxter | first1=Laurence A. | authorlink1=Laurence Baxter | ||
| date=1984 | | date=1984 | ||
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| volume=6 | | volume=6 | ||
| issue=6 | | issue=6 | ||
| pages= | | pages=297–300 | ||
| doi=10.1016/0167-6377(87)90047-2}} | | doi=10.1016/0167-6377(87)90047-2}} | ||
*{{Cite journal | last1 = Baxter | first1 = Laurence A. | authorlink1=Laurence Baxter | last2 = Lee | first2 = Seung Min | doi = 10.1017/S026996480000111X | title = Further Properties of Reliability Importance for Continuum Structure Functions | journal = Probability in the Engineering and Informational Sciences | volume = 3 | issue = 2 | pages = 237 | year = 2009 | s2cid = 122033755 }} | *{{Cite journal | last1 = Baxter | first1 = Laurence A. | authorlink1=Laurence Baxter | last2 = Lee | first2 = Seung Min | doi = 10.1017/S026996480000111X | title = Further Properties of Reliability Importance for Continuum Structure Functions | journal = Probability in the Engineering and Informational Sciences | volume = 3 | issue = 2 | pages = 237 | year = 2009 | s2cid = 122033755 }} | ||
Latest revision as of 16:22, 2 May 2026
In mathematics, a continuum structure function (CSF) is defined by Laurence Baxter as a nondecreasing maping from the unit hypercube to the unit interval. It is used by Baxter to help in the Mathematical modelling of the level of performance of a system in terms of the performance levels of its components.[1][2][3]
References
- ↑ Baxter, Laurence A. (1984). "Continuum structures I". Journal of Applied Probability. 21 (4): 802–815. doi:10.2307/3213697. JSTOR 3213697.
- ↑ Baxter, Laurence A. (1986). "Continuum structures. II". Mathematical Proceedings of the Cambridge Philosophical Society. 99 (2): 331–338. Bibcode:1986MPCPS..99..331B. doi:10.1017/S0305004100064240.
- ↑ Kim, Chul; Baxter, Laurence A. (1987). "Reliability importance for continuum structure functions". Journal of Applied Probability. 24 (3): 779–785. doi:10.2307/3214108. JSTOR 3214108.
Further reading
- Kim, Chul; Baxter, Laurence A. (1987). "Axiomatic characterizations of continuum structure functions". Operations Research Letters. 6 (6): 297–300. doi:10.1016/0167-6377(87)90047-2.
- Baxter, Laurence A.; Lee, Seung Min (2009). "Further Properties of Reliability Importance for Continuum Structure Functions". Probability in the Engineering and Informational Sciences. 3 (2): 237. doi:10.1017/S026996480000111X. Unknown parameter
|s2cid=ignored (help)
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