NWUE

AcronymDefinition
NWUENew Worse than Used in Expectation
References in periodicals archive ?
If [B.sub.1](x) and [B.sub.2](x) are NBUE, then [B.sub.1](x) [[less than or equal to].sub.v] [B.sup.*.sub.1](x) and [B.sub.2](x) [[less than or equal to].sub.v] [B.sup.*.sub.2](x) (the inequalities are reversed if [B.sub.1](x) and [B.sub.2](x) are NWUE).
Indeed, the simulator can estimate the stationary distributions of such a system when the service and repair time distributions are NBUE or NWUE. The results are being compared to those of an M/M/1 retrial queue with server subject to active breakdowns and exponential repair time relative to the convex ordering.
(i) The stationary distribution of the number of customers in the M/M/1 retrial queue with server subject to active breakdowns and exponential repair time is greater (respectively, less) than the stationary distribution of the number of customers in the M/G/1 retrial queue with server subject to active breakdowns, where the service time distribution [B.sub.1] (x) and the repair time distribution [B.sub.2] (x) are NBUE (respectively, B1 (x) and B2(x) are NWUE); that is, the inequality {[[pi].sup.(NBUE).sub.n]} [[less than or equal to].sub.v] {[[pi].sup.(NWUE).sub.n]} holds.