We consider an M/G/1 retrial queue where the service time distribution has a regularly varying tail with index −β, β > 1. The waiting time distribution is shown to have a regularly varying tail with index 1 − β, and the pre-factor is determined explicitly. The result is obtained by comparing the waiting time in the M/G/1 retrial queue with the waiting time in the ordinary M/G/1 queue with random order service policy.
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