@article{MTMT:1086764, title = {Hit-and-run Mixes Fast}, url = {https://m2.mtmt.hu/api/publication/1086764}, author = {Lovász, László}, doi = {10.1007/s101070050099}, journal-iso = {MATH PROGRAM}, journal = {MATHEMATICAL PROGRAMMING}, volume = {86}, unique-id = {1086764}, issn = {0025-5610}, abstract = {It is shown that the "hit-and-run" algorithm for sampling from a convex body K (introduced by R.L. Smith) mixes in time O*(n(2)R(2)/r(2)), where R and r are the radii of the inscribed and circumscribed balls of K. Thus after appropriate preprocessing, hit-and-run produces an approximately uniformly distributed sample point in time O*(n(3)), which matches the best known bound for other sampling algorithms. We show that the bound is best possible in terms of R, r and n.}, year = {1999}, eissn = {1436-4646}, pages = {443-461}, orcid-numbers = {Lovász, László/0000-0001-6596-0465} } @article{MTMT:1675815, title = {A method for determining the weights of criteria. The centralized weights}, url = {https://m2.mtmt.hu/api/publication/1675815}, author = {Solymosi, Tamás and Dombi, József}, doi = {10.1016/0377-2217(86)90157-8}, journal-iso = {EJOR}, journal = {EUROPEAN JOURNAL OF OPERATIONAL RESEARCH}, volume = {26}, unique-id = {1675815}, issn = {0377-2217}, year = {1986}, eissn = {1872-6860}, pages = {35-41}, orcid-numbers = {Solymosi, Tamás/0000-0003-2447-3219; Dombi, József/0000-0001-9459-912X} }