# On the Min-Max-Delay Problem: NP-completeness, Algorithm, and Int-Gap

@article{Liu2017OnTM, title={On the Min-Max-Delay Problem: NP-completeness, Algorithm, and Int-Gap}, author={Qingyu Liu and Lei Deng and Haibo Zeng and Minghua Chen}, journal={ArXiv}, year={2017}, volume={abs/1707.02650} }

We study a delay-sensitive information flow problem where a source streams information to a sink over a directed graph G(V,E) at a fixed rate R possibly using multiple paths to minimize the maximum end-to-end delay, denoted as the Min-Max-Delay problem. Transmission over an edge incurs a constant delay within the capacity. We prove that Min-Max-Delay is weakly NP-complete, and demonstrate that it becomes strongly NP-complete if we require integer flow solution. We propose an optimal pseudo…

## One Citation

### On the min-max-delay problem: NP-completeness, algorithm, and integrality gap

- Computer Science2017 IEEE Information Theory Workshop (ITW)
- 2017

It is proved that Min-Max-Delay is weakly NP-complete, and it is demonstrated that it becomes stronglyNP-complete if the authors require integer flow solution, and an optimal pseudo-polynomial time algorithm is proposed.

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