I'm equally puzzled, and I have a background in electrical engineering and system engineering. I'v never heard of 'MTBF recoverability', and the only google hit I see for the phrase "MTBF recoverability" (aside from this question and ignoring sites with a comma between the two terms) is for some sort of translation/translator website that has your source text as a translation example.

IMO (subject to correction) the phrase is bogus.

ref:

http://smartransqiu.language123.com/blog/B1105.html

# Average time (expressed in hours) that a component works without failure. Also, the length of time a user may reasonably expect a device or system ...
www.salvagedata.com/hard-drive-recovery-terms/

# A term describing the reliability of equipment established by testing kit to its limits and promoting the MTBF as a selling point. As most users know, however, laboratory and operational environments have little in common.
www.nettedautomation.com/glossary_menue/glossary_m.html

# This refers to the mean time between failures. It is the reliability rating indicating the expected failure rate of a product in power on hours.
www.harddiskrecovery.net/computer_glossary.html

# The average time between failures of a particular device based on statistical or anticipated experience.
www.jpma.com/pos_software/retail_software_glossary.asp

# Mean Time Between Failure – Common equipment reliability measure looking at the average time between failures.
www.progressivedge.com/m.html

# MTBF is the mean elapsed time from the time an IT service or component is fully restored until the next occurrence of a failure in the same service or component.
www.infodiv.unimelb.edu.au/knowledgebase/itservices/a-z/m.h...

# the failure rate of a power supply, expressed in hours, either predicted as prescribed by Military Standard MIL-HDBK-217 or measured as prescribed by Military Standard MIL-STD-781C.
www.abbottelectronics.com/engineer/glossary.htm

# MTBF - Mean Time Between Failures , MTBF is a basic measure of reliability for repairable items. It can be described as the number of hours that pass before a component, assembly, or system fails. ...
www.asis-pro.com/SiteFiles/1/1108/6478.asp

# A quality and maintenance measure of the average time between failures for a resource or product, that cause them to be unusable.
www.bridgefieldgroup.com/bridgefieldgroup/glos6.htm

# MTBF stands for "Mean Time Between Failure." MTBF is used as a measure of system (equipment) stability. It indicates the average time period from a failure until the next failure occurs. This measure corresponds to the average time period of continuous system operation. ...
www.necam.com/Storage/glossary.cfm

# Mean Time Between Failures, the average time a device will function before failing. MTBF ratings are measured in hours and indicate the sturdiness of hard disk drives and printers.
www.iomegadatarecovery.com/glossary_m.html

# Mean time between failures was a term adopted by the military and elaborated on in MIL-HDBK-217, which provides values for capacitors, resistors, etc. An alternate standard was developed by Bell Labs (Bellcore).
www.phihong.com/html/technical_glossary.html

# Acronym that stands for Mean Time Between Failure. The probable length of time that a component taken from a particular batch will survive if operated under the same conditions as a sample from that particular batch. This measure of product reliability has been rendered largely meaningless. ...
www.tripplite.com/support/glossary/detail.cfm

# (mean time between failure) The Higher the MTBF rating the better, about half of the given power supplies will die before the given rating, and about half sometime after the rating.
pcpowerzone.com/posugl.html

# Mean Time Between Failure: the average time a specific component is expected to work without failure.
www.toniksupport.co.uk/glossary.html

# Mean time between failure. Time at which 50% of the units of interest will have failed; used as a measure of the time a user might reasonably expect a device or system to work before a fault occurs.
www.cisco.com/univercd/cc/td/doc/product/mels/dwdm/dwdm_gl....

# the average length of time between failures of a product or component.
highered.mcgraw-hill.com/sites/0072443901/student_view0/chapter4/s-glossary.html

# Meantime Between Failure – How manufacturers measure machine reliability.
www.newtodrinksvending.com/blog/glossary.htm

# Mean Time Between Failure estimated lifetime of unit.
www.norsat.com/investors/company-information/glossary/

# This measurement, expressed in hours, gives the relative reliability, and can be based on actual operation or on a calculated standard such as MIL
www.powerstaxplc.com/Powerstax_Glossary.htm

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Note added at 14 mins (2008-07-16 22:22:27 GMT)
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Note that "reliability" must just be ignored in this case as I do strongly believe that it is induced by a "mistranslation" I've seen many of those while translating from Chinese>English

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Note added at 15 mins (2008-07-16 22:23:05 GMT)
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sorry I meant "recovrability"

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Note added at 16 mins (2008-07-16 22:24:10 GMT)
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"recoverability"