{"id":2325,"date":"2026-09-02T09:51:20","date_gmt":"2026-09-02T05:51:20","guid":{"rendered":"https:\/\/iremi.univ-reunion.fr\/?p=2325"},"modified":"2026-09-02T09:51:20","modified_gmt":"2026-09-02T05:51:20","slug":"le-theoreme-de-la-place-de-parking-ou-des-70","status":"publish","type":"post","link":"https:\/\/iremi.univ-reunion.fr\/?p=2325","title":{"rendered":"Le th\u00e9or\u00e8me de la place de parking (ou des 70%)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Tout conducteur honn\u00eate s\u2019est un jour pos\u00e9 cette question en cherchant \u00e0 se garer. Est-ce que je prends la place de parking libre juste devant moi ou bien je passe mon chemin et je tente de trouver une place un peu plus proche ? Ce papier tente de r\u00e9pondre \u00e0 cette question.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><em>Le th\u00e9or\u00e8me de la place de parking  <\/em><\/strong>est en fait une variante du<em><strong> probl\u00e8me de la secr\u00e9taire<\/strong><\/em> propos\u00e9 en 1964 entre autre par Y.S. CHOW.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Spoiler <\/strong>: La bonne strat\u00e9gie pour la voiture est de chercher \u00e0 se garer quand la distance qui la s\u00e9pare de son point d\u2019arriv\u00e9e correspond \u00e0 70% (<em>d&rsquo;o\u00f9 l&rsquo;autre nom du th\u00e9or\u00e8me<\/em>) de la distance moyenne qu\u2019elle doit parcourir pour trouver une place. Par exemple, si une place de parking est disponible en moyenne tous les 20 m\u00e8tres, commencez \u00e0 chercher une place \u00e0 14 m\u00e8tres de votre point d\u2019arriv\u00e9e !<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pour plus de d\u00e9tails vous pourrez t\u00e9l\u00e9charger l&rsquo;article complet juste en dessous.<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/le_theoreme_de_70_.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Contenu embarqu\u00e9 le_th\u00e9or\u00e8me_de_70_.\"><\/object><a id=\"wp-block-file--media-c1612eae-231f-4b6a-8b1f-088c30b5b5de\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/le_theoreme_de_70_.pdf\">le_th\u00e9or\u00e8me_de_70_<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/le_theoreme_de_70_.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c1612eae-231f-4b6a-8b1f-088c30b5b5de\">T\u00e9l\u00e9charger<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Tout conducteur honn\u00eate s\u2019est un jour pos\u00e9 cette question en cherchant \u00e0 se garer. Est-ce que je prends la place de parking libre juste devant moi ou bien je passe mon chemin et je tente de trouver une place un peu plus proche ? Ce papier tente de r\u00e9pondre \u00e0 cette question. Le th\u00e9or\u00e8me de [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"coauthors":[95],"class_list":["post-2325","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/2325","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2325"}],"version-history":[{"count":1,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/2325\/revisions"}],"predecessor-version":[{"id":2327,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/2325\/revisions\/2327"}],"wp:attachment":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2325"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2325"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2325"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcoauthors&post=2325"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}