Reconstruction of event sequences based on asynchronous observations in sensor networks

Abstract

This paper proposes an event sequence reconstruction algorithm for a given sensor network based on asynchronous observations of its state changes. We assume that the sensor network is modeled as a Petri net and the asynchronous observations are in the form of state (token) changes at different places in the Petri net. More specifically, the observed sequences of state changes are provided by local sensors and are asynchronous, i.e., they only contain partial information about the ordering of the state changes that occur. We propose an approach that is able to partition the given net into several subnets and reconstruct the event sequence for each subnet. Then we develop an algorithm that is able to reconstruct the event sequences for the entire net that are consistent with: 1) the asynchronous observations of state changes; 2) the event sequences of each subnet; and 3) the structure of the given Petri net. We also discuss the algorithmic complexity and present an example to illustrate our approach.