Author

Dong-Dong Ge

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Preprint Sep 2026

A Curved-Path Refinement of the Kalai--Kleitman Diameter Bound

Let $\Delta_u(d,n)$ be the maximum graph diameter of a pointed $d$-dimensional polyhedron with $n$ facets. Using a curved-path encoding of the iterated Kalai--Kleitman recurrence, we prove, uniformly over $n\geq d\geq 4$, \[ \Delta_u(d,n) \leq (n-d)^{\log_2 G_d},\qquad G_d = (4\ln 2+o(1))\frac{d}{(\ln d)^2}, \] where t...

Tianhao Liu, Dong-Dong Ge, Yin-Yu Ye · 0 citations

Sep 2026

Early birds versus last-minute arrivals: Empirical evidence and theoretical analysis of arrival time queueing game

In this study, we examine a scenario where each customer strategically selects their arrival time at a queue, aiming to minimize their total costs, which include waiting, tardiness, and earliness costs. Building on the mixed strategy framework studied by Moshe Haviv, which provides a closed-form arrival time distribu...

Xiang-Jie Zhao, Yi-Chuan Ding, Dong-Dong Ge et al. · Production and operations ma... · 0 citations