Jessen T. Havill

Online Packet Routing on Linear Arrays and Rings

In contrast to classical offline k-k routing, the online packet routing problem allows for an arbitrary number of packets with arbitrary end points and release times. We study this problem on linear array and ring networks. We generalize an earlier result for the offline problem by showing that FARTHEST FIRST (FF) scheduling is optimal with respect to makespan on linear arrays. We also show that two other algorithms (LONGEST IN SYSTEM (LIS) and MOVING PRIORITY (MP)) have competitive ratio 2 with respect to makespan on linear arrays. For bidirectional rings, we show that, the competitive ratio of shortest path routing combined with LIS or MP scheduling is in [2.5, 3) and the competitive ratio of shortest path routing combined with FF scheduling is 2. The latter algorithm is optimal among deterministic memoryless algorithms and all algorithms of which we are aware in the literature.

Improved upper bounds for online malleable job scheduling

In this paper, we study online algorithms that schedule malleable jobs, i.e., jobs that can be parallelized on any subset of the available

Optimal online ring routing

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Technically speaking: fostering the communication skills of computer science and mathematics students

m identical machines. We study a model that accounts for the tradeoff between multiprocessor speedup and overhead time, namely, if job

A new approach for detecting riboswitches in DNA sequences

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A Lower Bound For On-Line File Transfer Routing And Scheduling

j has processing requirement