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Asymptotic optimality of dynamic first-fit packing on the half-axis

math.PR · 2024-04-04 · unverdicted · novelty 8.0

First proof that dynamic first-fit packing on the half-axis is asymptotically optimal for non-degenerate countable-support item size distributions, with scaled steady-state configuration converging to gap-free size-ordered packing as arrival rate r tends to infinity.

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  • Asymptotic optimality of dynamic first-fit packing on the half-axis math.PR · 2024-04-04 · unverdicted · none · ref 1

    First proof that dynamic first-fit packing on the half-axis is asymptotically optimal for non-degenerate countable-support item size distributions, with scaled steady-state configuration converging to gap-free size-ordered packing as arrival rate r tends to infinity.