Answer
One solution would be to have the $input$/$output$ processor set a timer for
the maximum possible response time from each of the search processors
and if that time is exceeded, it reports that NUMBER was not found. This
is not foolproof, because it could simply be that the communications link
between the $input$/$output$ processor and the one processor that found
NUMBER is broken, so it was unable to report back the corresponding
NAME. A better solution would be to have each search processor report
back to the $input$/$output$ processor when it cannot find NUMBER; when
the $input$/$output$ processor has received that message from all $1,000$
search processors, it would then report that NUMBER was not found.
Work Step by Step
One solution would be to have the $input$/$output$ processor set a timer for
the maximum possible response time from each of the search processors
and if that time is exceeded, it reports that NUMBER was not found. This
is not foolproof, because it could simply be that the communications link
between the $input$/$output$ processor and the one processor that found
NUMBER is broken, so it was unable to report back the corresponding
NAME. A better solution would be to have each search processor report
back to the $input$/$output$ processor when it cannot find NUMBER; when
the $input$/$output$ processor has received that message from all $1,000$
search processors, it would then report that NUMBER was not found.