{"id":1289,"date":"2018-09-17T12:54:30","date_gmt":"2018-09-17T11:54:30","guid":{"rendered":"https:\/\/rosetta.vn\/short\/?p=1289"},"modified":"2019-04-01T11:58:00","modified_gmt":"2019-04-01T10:58:00","slug":"pyomo-for-modeling-optimization-problems","status":"publish","type":"post","link":"https:\/\/rosetta.vn\/short\/2018\/09\/17\/pyomo-for-modeling-optimization-problems\/","title":{"rendered":"Pyomo for modeling optimization problems"},"content":{"rendered":"

Pyomo is a Python-based open-source software package that supports a diverse set of optimization capabilities for formulating, solving, and analyzing optimization models.<\/p>\n

A core capability of Pyomo is modeling structured optimization applications. Pyomo can be used to define general symbolic problems, create specific problem instances, and solve these instances using commercial and open-source solvers. Pyomo’s modeling objects are embedded within a full-featured high-level programming language providing a rich set of supporting libraries, which distinguishes Pyomo from other algebraic modeling languages like AMPL, AIMMS and GAMS.<\/p>\n

Link to website:http:\/\/www.pyomo.org\/<\/a><\/p><\/blockquote>\n

Source:\u00a0http:\/\/ifors.org\/developing_countries\/index.php?title=Pyomo<\/a><\/p>\n

Pyomo code for formulating an optimal control problem for a system with Differential Algebratic Equations:<\/p>\n

\n
>>> <\/span>model<\/span> =<\/span> ConcreteModel<\/span>()<\/span>\r\n>>> <\/span>model<\/span>.<\/span>t1<\/span> =<\/span> ContinuousSet<\/span>(<\/span>bounds<\/span>=<\/span>(<\/span>0<\/span>,<\/span> 10<\/span>))<\/span>\r\n>>> <\/span>model<\/span>.<\/span>t2<\/span> =<\/span> ContinuousSet<\/span>(<\/span>bounds<\/span>=<\/span>(<\/span>-<\/span>1<\/span>,<\/span> 1<\/span>))<\/span>\r\n>>> <\/span>model<\/span>.<\/span>s<\/span> =<\/span> Set<\/span>(<\/span>initialize<\/span>=<\/span>[<\/span>'A'<\/span>,<\/span> 'B'<\/span>,<\/span> 'C'<\/span>])<\/span>\r\n\r\n>>> <\/span>model<\/span>.<\/span>X<\/span> =<\/span> Var<\/span>(<\/span>model<\/span>.<\/span>t1<\/span>,<\/span> model<\/span>.<\/span>t2<\/span>,<\/span> model<\/span>.<\/span>s<\/span>)<\/span>\r\n\r\n>>> <\/span>def<\/span> _intX1<\/span>(<\/span>m<\/span>,<\/span> t1<\/span>,<\/span> t2<\/span>,<\/span> s<\/span>):<\/span>\r\n... <\/span>   return<\/span> m<\/span>.<\/span>X<\/span>[<\/span>t1<\/span>,<\/span> t2<\/span>,<\/span> s<\/span>]<\/span>\r\n>>> <\/span>model<\/span>.<\/span>intX1<\/span> =<\/span> Integral<\/span>(<\/span>model<\/span>.<\/span>t1<\/span>,<\/span> model<\/span>.<\/span>t2<\/span>,<\/span> model<\/span>.<\/span>s<\/span>,<\/span> wrt<\/span>=<\/span>model<\/span>.<\/span>t1<\/span>,<\/span>\r\n... <\/span>                       rule<\/span>=<\/span>_intX1<\/span>)<\/span>\r\n\r\n>>> <\/span>def<\/span> _intX2<\/span>(<\/span>m<\/span>,<\/span> t2<\/span>,<\/span> s<\/span>):<\/span>\r\n... <\/span>   return<\/span> m<\/span>.<\/span>intX1<\/span>[<\/span>t2<\/span>,<\/span> s<\/span>]<\/span>\r\n>>> <\/span>model<\/span>.<\/span>intX2<\/span> =<\/span> Integral<\/span>(<\/span>model<\/span>.<\/span>t2<\/span>,<\/span> model<\/span>.<\/span>s<\/span>,<\/span> wrt<\/span>=<\/span>model<\/span>.<\/span>t2<\/span>,<\/span> rule<\/span>=<\/span>_intX2<\/span>)<\/span>\r\n\r\n>>> <\/span>def<\/span> _obj<\/span>(<\/span>m<\/span>):<\/span>\r\n... <\/span>   return<\/span> sum<\/span>(<\/span>m<\/span>.<\/span>intX2<\/span>[<\/span>k<\/span>]<\/span> for<\/span> k<\/span> in<\/span> m<\/span>.<\/span>s<\/span>)<\/span>\r\n>>> <\/span>model<\/span>.<\/span>obj<\/span> =<\/span> Objective<\/span>(<\/span>rule<\/span>=<\/span>_obj<\/span>)<\/span><\/pre>\n<\/blockquote>\n
https:\/\/pyomo.readthedocs.io\/en\/latest\/modeling_extensions\/dae.html<\/a><\/p>\n
 <\/p>\n","protected":false},"excerpt":{"rendered":"
Pyomo is a Python-based open-source software package that supports a diverse set of optimization capabilities for formulating, solving, and analyzing optimization models. A core capability of Pyomo is modeling structured optimization applications. Pyomo can be used to define general symbolic<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false},"categories":[30,215],"tags":[882,881,880,222],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p8jhJx-kN","_links":{"self":[{"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/posts\/1289"}],"collection":[{"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/comments?post=1289"}],"version-history":[{"count":3,"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/posts\/1289\/revisions"}],"predecessor-version":[{"id":1789,"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/posts\/1289\/revisions\/1789"}],"wp:attachment":[{"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/media?parent=1289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/categories?post=1289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rosetta.vn\/short\/wp-json\/wp\/v2\/tags?post=1289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}