Least-cost path estimation in wireless ad hoc sensor networks using Petri nets

  • Authors:
  • Lingxi Li;Dongsoo S. Kim

  • Affiliations:
  • Indiana Univ.-Purdue Univ. Indianapolis, Indianapolis, IN;Indiana Univ.-Purdue Univ. Indianapolis, Indianapolis, IN

  • Venue:
  • Proceedings of the 5th International Conference on Ubiquitous Information Management and Communication
  • Year:
  • 2011

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Abstract

This paper develops an iterative algorithm for estimating the least-cost paths that can lead from a given initial state to a given final state in a wireless ad hoc sensor network (WASN) that is modeled by a Petri net. In particular, a WASN can be assumed as a multi-hop network and its topology can be modeled as a Petri net. We assume that each link between two nodes (each transition in the net) is associated with a positive cost to capture its likelihood (e.g., in terms of the transmission time, distance between nodes, or the link capacity). Given the structure of the Petri net and its initial/final state, we aim at finding the paths (with length less than or equal to a given bound L) that could lead us from the initial state to the final state while having the least total cost. We develop an iterative algorithm that finds the least-cost paths with complexity that is polynomial in the length L.