It can lead to a higher rate of operating system piracy.
Failure rate (common-cause failure rate) of operating units in the system.
Degraded failure rate of operating units when all warm spares are utilized.
This area, too, poses a problem for Microsoft: The "attach rate" of operating systems to hardware is typically lower in emerging markets, where PCs ship without operating systems.
The failure rate of operating nuclear turbine generators is ( lambda = 0.3 ), and failure rates of standby gas turbine generators of type 1 and 2 are ( alpha_{1} = 0.9 ) and ( alpha_{2} = 0.9 ), respectively.
Open image in new window Fig. 2 Queue length E(n) vs failure rate of operating units for different values of a M b m c S d r e ( alpha ) f b 1.
While not in use, the cold spare units do not fail, whereas the failure of warm (hot) spare units is less than (equal to) the failure rate of operating units.
Effect of failure rate of operating unit and repairman (λ, a): from Figs. 2 and 3, it is noted that the availability of the system decreases as λ and a increase.
The expected queue length E(n) against failure rate of operating units by varying different parameters such as number of operating units (M), minimum number of operating units (m), number of warm standbys (S), repair rate (r), failure rate of standbys and server's breakdown rate (b) has been displayed in Fig. 2a f, respectively.
{text{e}}.,K = M + S^{ k)}.hfill & lambda :,{text{{The failure rate of operating machines}}.hfill & a_{j} : {text{The failure rate of }}j{th} ( j = 1,2,3, ldots,k ) {text{ types of warm standby machines}}.hfill &upsilon_{i} :,{text{Mean vacation rate by which the }}i{th} (i = 1,,2 ),{text{serverreturnsns from the vacation}}.
