For the MTZ, Desrochers-Laporte, and single-commodity flow formulations, the paper defines parametric families and proves their closures form a strict chain, with the flow closure being strongest.
Requiem for the Miller-Tucker-Ze mlin subtour elimination con- straints? European Journal of Operational Research , 236(3):820–832, 2014
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On parametric formulations for the Asymmetric Traveling Salesman Problem
For the MTZ, Desrochers-Laporte, and single-commodity flow formulations, the paper defines parametric families and proves their closures form a strict chain, with the flow closure being strongest.