An exact formula for the equilibrium M/U/1 waiting time density is now effectively known. What began as a numeric exploration became a symbolic banquet. Inverse Laplace transforms provided breadcrumbs in the trail; delay differential equations subsequently gave clear-cut precision. We also remark on tail probability asymptotics and on queue lengths.
翻译:平均 M/U/1 等待时间密度的精确公式现在已经为人所知。 以数字探索开始的是一个象征性的宴会。 Laplace 的反向变换提供了小道中的面包屑; 延迟差异方程式随后给出了清晰的精确度 。 我们还谈到尾巴概率无症状和队列长度 。