On semidefinite programming relaxations of the traveling salesman problem

• Main Authors: De Klerk, Etienne., Pasechnik, Dmitrii V., Sotirov, Renata.
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2009
• 主題: DRNTU::Science::Mathematics::Applied mathematics::Operational research
• 在線閱讀: https://hdl.handle.net/10356/91852; http://hdl.handle.net/10220/4600; http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?url_ctx_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Actx&url_ver=Z39.88-2004&url_tim=2009-05-07T03%3A41%3A58-0400&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rft.spage=1559&rft.volume=19&rft.aulast=de+Klerk&rft.issn=10957189&rft_id=info%3Adoi%2F10.1137%2F070711141&rft.jtitle=SIAM+Journal+on+Optimization&rft.genre=article&rft.auinit1=E&rft.date=2008&rft.issue=4&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rfr_id=info%3Asid%2Faip.org%3Ascitation
• 機構: Nanyang Technological University

We consider a new semidefinite programming (SDP) relaxation of the symmetric traveling salesman problem (TSP) that may be obtained via an SDP relaxation of the more general quadratic assignment problem (QAP). We show that the new relaxation dominates the one in [D. Cvetković, M. Cangalović, and V. K...