# Approximation Solutions for Time-Varying Shortest Path Problem

Document Type : Original paper

Authors

1 University of Qom

2 Unuversity of Qom

Abstract

Time-varying network optimization problem, which is NP-complete in the ordinary sense, are traditionally solved by specialized algorithms. This paper considers the time-varying shortest path problem, which can be optimally solved in $O\big(T(m+n)\big)$ time, where $T$ is a given integer. For this problem with arbitrary waiting times, we propose an approximate algorithm, which can find an acceptable solution of the problem with $O\big(\frac{T(m+n)}{k}\big)$ time complexity such that it evaluates only a subset of the values for $t \in \{0, 1,\ldots,T\}$.

Keywords

Main Subjects

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