An extended approach for lifting clique tree inequalities

Anja Fischer () and Frank Fischer ()
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Anja Fischer: Chemnitz University of Technology
Frank Fischer: Chemnitz University of Technology

Journal of Combinatorial Optimization, 2015, vol. 30, issue 3, No 7, 489-519

Abstract: Abstract We present a new lifting approach for strengthening arbitrary clique tree inequalities that are known to be facet defining for the symmetric traveling salesman problem in order to get stronger valid inequalities for the symmetric quadratic traveling salesman problem (SQTSP). Applying this new approach to the subtour elimination constraints (SEC) leads to two new classes of facet defining inequalities of SQTSP. For the special case of the SEC with two nodes we derive all known conflicting edges inequalities for SQTSP. Furthermore we extend the presented approach to the asymmetric quadratic traveling salesman problem (AQTSP).

Keywords: Traveling salesman problem; Quadratic traveling salesman problem; Polyhedral combinatorics; 90C57; 90C27 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10878-013-9647-3

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