A mobile wireless delay-tolerant network (DTN) model is proposed and analyzed, in which infinitely many nodes are initially placed on $\mathbb {R}^{2}$ according to a uniform Poisson point process (PPP) and subsequently travel, independently of each other, along trajectories comprised of line segments, changing travel direction at time instances that form a Poisson process, each time selecting a new travel direction from an arbitrary distribution; all nodes maintain constant speed. A single information packet is traveling towards a given direction using both wireless transmissions and sojourns on node buffers, according to a member of a class of utility-based routing rules. For this model, we compute the long-term averages of the speed with which the packet travels towards its destination and the rate with which the wireless transmission cost accumulates. Because of the complexity of the problem, we employ two intuitive, simplifying approximations; simulations show that the approximation error is typically small. Our results provide intuition on the fundamental trade-off that exists in mobile wireless DTNs between the packet speed and the packet delivery cost. The framework developed here is both general and versatile, and can be used as a starting point for further investigation.

中文翻译：

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移动无线延迟容忍网络中的数据包速度和成本

提出并分析了一种移动无线延迟容忍网络 (DTN) 模型，其中无限多个节点最初根据统一泊松点过程 (PPP) 放置在 $\mathbb {R}^{2}$ 上，然后进行旅行，彼此独立，沿着由线段组成的轨迹，在形成泊松过程的时间实例中改变行进方向，每次从任意分布中选择一个新的行进方向；所有节点保持恒定速度。根据一类基于效用的路由规则的成员，单个信息包使用无线传输和停留在节点缓冲区上向给定方向行进。对于这个模型，我们计算数据包到达目的地的速度和无线传输成本累积的速率的长期平均值。由于问题的复杂性，我们采用了两个直观的、简化的近似值；模拟表明，近似误差通常很小。我们的结果提供了关于移动无线 DTN 中分组速度和分组传送成本之间存在的基本权衡的直觉。这里开发的框架既通用又通用，可以作为进一步研究的起点。我们的结果提供了关于移动无线 DTN 中分组速度和分组传送成本之间存在的基本权衡的直觉。这里开发的框架既通用又通用，可以作为进一步研究的起点。我们的结果提供了关于移动无线 DTN 中分组速度和分组传送成本之间存在的基本权衡的直觉。这里开发的框架既通用又通用，可以作为进一步研究的起点。