The multidimensional assignment (MDA) problem is a combinatorial optimization problem arising in many applications, for instance multitarget tracking (MTT). The objective of an MDA problem of dimension d ∈ N is to match groups of d objects in such a way that each measurement is associated with at most one track and each track is associated with at most one measurement from each list, optimizing a certain objective function. It is well known that the MDA problem is NP-hard for d ≥ 3. In this paper five new polynomial time heuristics to solve the MDA problem arising in MTT are presented. They are all based on the semi-greedy approach introduced in earlier research. Experimental results on the accuracy and speed of the proposed algorithms in MTT problems are provided.
Greedy and $K$-Greedy Algorithms for Multidimensional Data Association
Published 2011 in IEEE Transactions on Aerospace and Electronic Systems
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- Publication year
2011
- Venue
IEEE Transactions on Aerospace and Electronic Systems
- Publication date
2011-07-05
- Fields of study
Mathematics, Computer Science
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