{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:42Z","timestamp":1754157402008,"version":"3.41.2"},"reference-count":6,"publisher":"Emerald","issue":"5","license":[{"start":{"date-parts":[[2009,6,12]],"date-time":"2009-06-12T00:00:00Z","timestamp":1244764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,6,12]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to describe a general method for solving all problems arising in industrial processes and more generally in operational research.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>The paper's aim is to present a new method based on <jats:italic>\u03b1<\/jats:italic>\u2010dense curves first developed at the beginning of the 1980s by Yves Cherruault and Arthur Guillez. This technique allows to solve all problems of operational research in a simple way. For instance, industrial problems leading to optimization or optimal control problems can be easily and precisely solved by this very general technique. The main idea consists in expressing <jats:italic>n<\/jats:italic> variables by means of a single one.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>This new method, based on \u201calpha\u2010dense curves\u201d allows to express <jats:italic>n<\/jats:italic> variables in function of a single variable. One of the most important applications is related to global optimization. Multivariable optimization problems can be quickly and easily solved, even for great numbers of variables and for integer or boolean variables. Every problem (linear or nonlinear) coming from operational research or from industry becomes simple to solve in a very short time on micro\u2010calculators.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>This method is deduced from the original works of Yves Cherruault <jats:italic>et al.<\/jats:italic> of MEDIMAT laboratory. The reducing transformations were initiated at the beginning of the 1980s by Yves Cherruault and Arthur Guillez. Then they were generalized by the notion of <jats:italic>\u03b1<\/jats:italic>\u2010dense curves. A lot of applications were derived covering entirely the operational research and a part of functional analysis.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910962588","type":"journal-article","created":{"date-parts":[[2009,7,4]],"date-time":"2009-07-04T07:02:57Z","timestamp":1246690977000},"page":"698-703","source":"Crossref","is-referenced-by-count":2,"title":["Resolution of industrial problems by a simple and universal new method"],"prefix":"10.1108","volume":"38","author":[{"given":"Yves","family":"Cherruault","sequence":"first","affiliation":[]}],"member":"140","reference":[{"key":"key2022020619444806400_b1","unstructured":"Cherruault, Y. (1983), Biomath\u00e9matiques, Presses Universitaires de France, Paris."},{"key":"key2022020619444806400_b2","unstructured":"Cherruault, Y. (1998), Mod\u00e8les et M\u00e9thodes Math\u00e9matiques pour les Sciences du Vivant, Presses Universitaires de France, Paris."},{"key":"key2022020619444806400_b3","unstructured":"Cherruault, Y. (1999), Optimisation: M\u00e9thodes Locales et Globales, Presses Universitaires de France, Paris."},{"key":"key2022020619444806400_b4","unstructured":"Cherruault, Y. and Mora, G. (2005), Optimisation Globale. Th\u00e9orie des courbes alpha\u2010denses, Economica, Paris."},{"key":"key2022020619444806400_b5","doi-asserted-by":"crossref","unstructured":"Mazza, J.C., Cherruault, Y., Mora, G., Konf\u00e9, B. and Beneouala, T. (2007), \u201cA new universal method for solving all problems of operational research\u201d, Kybernetes, Vol. 36 No. 1.","DOI":"10.1108\/03684920710741161"},{"key":"key2022020619444806400_b6","doi-asserted-by":"crossref","unstructured":"Mora, G. and Cherruault, Y. (2007), \u201cInteger optimization by \u03b1\u2010dense curves\u201d, Kybernetes, Vol. 36 No. 2.","DOI":"10.1108\/03684920710741260"}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/03684920910962588","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920910962588\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920910962588\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:53:37Z","timestamp":1753401217000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/38\/5\/698-703\/273397"}},"subtitle":[],"editor":[{"given":"Yves","family":"Cherruault","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2009,6,12]]},"references-count":6,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2009,6,12]]}},"alternative-id":["10.1108\/03684920910962588"],"URL":"https:\/\/doi.org\/10.1108\/03684920910962588","relation":{},"ISSN":["0368-492X"],"issn-type":[{"type":"print","value":"0368-492X"}],"subject":[],"published":{"date-parts":[[2009,6,12]]}}}