Miller-Tucker-Zemlin (MTZ) formulation (Minimum TSP The Traveling-Salesman Problem)

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Time Complexity

$exp(V)$

Space Complexity

$O(V^{4})$ words

(Derived: V^2 + 2V constraints on V^2 variables, most integer programs use space of O(nm) where n=#vars and m=#constraints)

Description

ILP formulation

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1960

Reference

https://dl-acm-org.ezproxy.canberra.edu.au/doi/10.1145/321043.321046