A \(\boldsymbol{\phi }\) -Competitive Algorithm for Scheduling Packets with Deadlines

A \(\boldsymbol{\phi }\) -Competitive Algorithm for Scheduling Packets with Deadlines
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一种具有截止日期的数据包调度竞争算法

DOI:
10.1137/21m1469753
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发表时间:
2022
影响因子:
1.6
通讯作者:
Sgall, Jiří
Sgall, Jiří
中科院分区:
计算机科学2区
文献类型:
--
作者:
Veselý, Pavel;Chrobak, Marek;Jeż, Łukasz;Sgall, Jiří

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在有截止日期的在线数据包调度问题(简称)中,目标是调度在网络交换机中随时间到达并且需要通过链路发送的数据包的传输。每个包都有一个截止日期,代表它的紧急程度,还有一个非负的权重,代表它的优先级。在任何时隙中只能传输一个数据包,因此如果系统过载,一些数据包将不可避免地错过截止日期而被丢弃。在此场景中,自然的目标是计算一个传输调度,使成功传输的数据包的总权重最大化。这个问题本质上是在线的,在不知道未来数据包到达的情况下做出调度决策。自2001年以来,确定在线算法的最优竞争比是一个核心问题,即一个调度的最优总权重(由离线算法计算)与一个(确定性)在线算法计算的调度权重之间的最坏情况之比。我们通过提出一个竞争性的在线算法来解决这个开放问题(黄金分割率在哪里),匹配先前建立的下界。
In theonline packet scheduling problem with deadlines(, for short), the goal is to schedule transmissions of packets that arrive over time in a network switch and need to be sent across a link. Each packet has a deadline, representing its urgency, and a nonnegative weight, which represents its priority. Only one packet can be transmitted in any time slot, so if the system is overloaded, some packets will inevitably miss their deadlines and be dropped. In this scenario, the natural objective is to compute a transmission schedule that maximizes the total weight of packets that are successfully transmitted. The problem is inherently online, with the scheduling decisions made without the knowledge of future packet arrivals. The central problem concerningthat has been a subject of intensive study since 2001 is to determine the optimal competitive ratio of online algorithms, namely the worst-case ratio between the optimum total weight of a schedule (computed by an offline algorithm) and the weight of a schedule computed by a (deterministic) online algorithm. We solve this open problem by presenting a-competitive online algorithm for(whereis the golden ratio), matching the previously established lower bound.
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