Shortest paths in networks with exponentially distributed arc lengths

@article{Kulkarni1986ShortestPI,
  title={Shortest paths in networks with exponentially distributed arc lengths},
  author={Vidyadhar G. Kulkarni},
  journal={Networks},
  year={1986},
  volume={16},
  pages={255-274}
}
This paper develops methods for the exact computation of the distribution of the length of the shortest path from a given source nodes to a given sink node t in a directed network in which the arc lengths are independent and exponentially distributed random variables. A continuous time Markov chain with a single absorbing state is constructed from the original network such that the time until absorption into this absorbing state starting from the initial state is equal to the length of the… CONTINUE READING

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