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Published in:
16-04-2022 | Correction
Correction to: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems
Published in: Queueing Systems | Issue 3-4/2022
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Excerpt
Unfortunately, we have discovered several errors in [2]:
(ii)
Theorem 5 in Sect. 5 is incorrect. It would be correct if we could replace \(t \ge -M_a\) by \(t \ge 0\) in the condition (39) in Theorem 4, but we are not free to do so, because the condition \(t \ge -M_a\) is required by the increasing convex stochastic order used in Theorem 4.
(iv)
Proposition 1 is incorrect, but this is fixable. This proposition becomes correct if the condition \(g(0) = 0\) is added, as holds in the intended Erlang example (\(E_k\) for \(k \ge 2\)). The correction is needed because (57) in [2] is missing the term g(0)h(t).