

{"id":1094,"date":"2013-10-10T11:22:26","date_gmt":"2013-10-10T09:22:26","guid":{"rendered":"https:\/\/project.inria.fr\/plasma-lab\/?page_id=1094"},"modified":"2015-03-17T17:47:14","modified_gmt":"2015-03-17T16:47:14","slug":"hubble","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/plasma-lab\/examples\/hubble\/","title":{"rendered":"Hubble"},"content":{"rendered":"<p>This case study is based on the Hubble space telescope lifetime (<i>as found on the CADP website). <\/i>It was translated from Aldebaran graph format to Reactive Module Language (RML) Continuous Time Markov Chain (CTMC).<\/p>\n<p>The Hubble model:<\/p>\n<div class=\"alert alert-success\" role=\"alert\"><p class=\"printonly\"><strong>Important!<\/strong><\/p><\/p>\n<p class=\"first-p\">\/\/ Hubble space telescope lifetime<br \/>\n\/\/ Holger Hermanns, Christophe Joubert, Hubert Garavel, and Wendelin Serwe<br \/>\n\/\/ Translated from ALDEBARAN to RML<\/p>\n<p>ctmc<br \/>\nmodule M<br \/>\nx:[0..8] init 0;<br \/>\n[FAIL] x=0 -&gt; 0.6 : (x&#8217;=1);<br \/>\n[FAIL] x=1 -&gt; 0.5 : (x&#8217;=2);<br \/>\n[FAIL] x=2 -&gt; 0.4 : (x&#8217;=3);<br \/>\n[FAIL] x=3 -&gt; 0.3 : (x&#8217;=4);<br \/>\n[FAIL] x=4 -&gt; 0.2 : (x&#8217;=5);<br \/>\n[SLEEP] x=4 -&gt; 100 : (x&#8217;=7);<br \/>\n[FAIL] x=5 -&gt; 0.1 : (x&#8217;=6);<br \/>\n[SLEEP] x=5 -&gt; 100 : (x&#8217;=8);<br \/>\n[REPAIR] x=7 -&gt; 6 : (x&#8217;=0);<br \/>\n[FAIL] x=7 -&gt; 0.2 : (x&#8217;=8);<br \/>\n[REPAIR] x=8 -&gt; 6 : (x&#8217;=0);<br \/>\n[FAIL] x=8 -&gt; 0.1 : (x&#8217;=6);<br \/>\nendmodule<\/p>\n<p>label &#8220;crash&#8221; = x=6;<br \/>\nlabel &#8220;sleep&#8221; = x=7 | x=8;<\/div>\n<p style=\"text-align: center;\">Download <a href=\"http:\/\/plasma-lab.gforge.inria.fr\/plasma_lab_examples\/CTMC\/Hubble.plasma\"><strong>hubble.plasma<\/strong><\/a><\/p>\n<p>We have model checked the following property, meaning that a crash doesn&#8217;t occurs for 100 years.<\/p>\n<div class=\"alert alert-success\" role=\"alert\"><p class=\"printonly\"><strong>Important!<\/strong><\/p>\/\/Liveness property.<\/p>\n<p class=\"first-p\">G&lt;=100 !&#8221;crash&#8221;<\/p>\n<p><\/div>\n<p>Using our <strong>sequential algorithm<\/strong> with parameters set as<\/p>\n<ul>\n<li>alpha = 0.001 False positives probability<\/li>\n<li>beta = 0.001 False negatives probability<\/li>\n<li>delta = 0.001 Indifference region<\/li>\n<li>proba = 0.99 Probability<\/li>\n<\/ul>\n<p>This means that we wanted to know if <strong>the probability that the property holds was superior to 99%<\/strong> with a fairly low probability of making an error.<br \/>\nThe answer was computed as true in <strong>0.952 seconds<\/strong> using <strong>9239 simulations<\/strong>.<\/p>","protected":false},"excerpt":{"rendered":"<p>This case study is based on the Hubble space telescope lifetime (as found on the CADP website). It was translated from Aldebaran graph format to Reactive Module Language (RML) Continuous Time Markov Chain (CTMC). The Hubble model: Download hubble.plasma We have model checked the following property, meaning that a crash\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/plasma-lab\/examples\/hubble\/\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":234,"featured_media":0,"parent":236,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-1094","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/pages\/1094","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/users\/234"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/comments?post=1094"}],"version-history":[{"count":12,"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/pages\/1094\/revisions"}],"predecessor-version":[{"id":1942,"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/pages\/1094\/revisions\/1942"}],"up":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/pages\/236"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/plasma-lab\/wp-json\/wp\/v2\/media?parent=1094"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}