{"id":22,"date":"2023-07-13T20:11:53","date_gmt":"2023-07-13T20:11:53","guid":{"rendered":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/?page_id=22"},"modified":"2023-07-26T00:02:45","modified_gmt":"2023-07-26T00:02:45","slug":"network-codes","status":"publish","type":"page","link":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/","title":{"rendered":"Network Codes"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930feb06 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><em>\u2013&nbsp;<a href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas\/wp-content\/uploads\/sites\/129\/2020\/03\/lopnet.pdf\">Misc network optimization codes.<\/a>&nbsp;<\/em>for shortest path, max-flow, assignment, and linear single commodity network flow optimization<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013&nbsp;<a href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas\/wp-content\/uploads\/sites\/129\/2020\/03\/RELAX4.pdf\">RELAX4 code<\/a>&nbsp;and&nbsp;<a href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas\/wp-content\/uploads\/sites\/129\/2020\/03\/RELAX4_doc.pdf\">RELAX4 documentation<\/a>&nbsp;<\/em>for linear single commodity network optimization.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2013&nbsp;<a href=\"http:\/\/groups.di.unipi.it\/optimize\/Software\/MCF.html#RelaxIV\">C++ Implementation of RELAX4 code<\/a>&nbsp;from University&nbsp; of Pisa<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013&nbsp;<a href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas\/wp-content\/uploads\/sites\/129\/2020\/03\/Auction.pdf\">AUCTION and other algorithms<\/a>&nbsp;<\/em>for assignment problems.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013&nbsp;<a href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas\/wp-content\/uploads\/sites\/129\/2020\/03\/MULTIFLO.pdf\">Muliticommodity Flow<\/a>&nbsp;<\/em>algorithm based on gradient projection method and a path flow formulation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013&nbsp;<a href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas\/wp-content\/uploads\/sites\/129\/2020\/03\/erelax-1.pdf\">Epsilon-Relaxation method<\/a>&nbsp;<\/em>(also known as the preflow push method) for solving linear and separable quadratic minimum cost network flow problems.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p class=\"mb-2\">\u2013&nbsp;Misc network optimization codes.&nbsp;for shortest path, max-flow, assignment, and linear single commodity network flow optimization \u2013&nbsp;RELAX4 code&nbsp;and&nbsp;RELAX4 documentation&nbsp;for linear single commodity network optimization. \u2013&nbsp;C++ Implementation of RELAX4 code&nbsp;from University&nbsp; of Pisa \u2013&nbsp;AUCTION and other algorithms&nbsp;for assignment problems. \u2013&nbsp;Muliticommodity Flow&nbsp;algorithm based on gradient projection method and a path flow formulation. \u2013&nbsp;Epsilon-Relaxation method&nbsp;(also known as the preflow&#8230;<\/p>\n","protected":false},"author":228,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-22","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Network Codes - Dimitri Bertsekas<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Network Codes - Dimitri Bertsekas\" \/>\n<meta property=\"og:description\" content=\"\u2013&nbsp;Misc network optimization codes.&nbsp;for shortest path, max-flow, assignment, and linear single commodity network flow optimization \u2013&nbsp;RELAX4 code&nbsp;and&nbsp;RELAX4 documentation&nbsp;for linear single commodity network optimization. \u2013&nbsp;C++ Implementation of RELAX4 code&nbsp;from University&nbsp; of Pisa \u2013&nbsp;AUCTION and other algorithms&nbsp;for assignment problems. \u2013&nbsp;Muliticommodity Flow&nbsp;algorithm based on gradient projection method and a path flow formulation. \u2013&nbsp;Epsilon-Relaxation method&nbsp;(also known as the preflow...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/\" \/>\n<meta property=\"og:site_name\" content=\"Dimitri Bertsekas\" \/>\n<meta property=\"article:modified_time\" content=\"2023-07-26T00:02:45+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/network-codes\\\/\",\"url\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/network-codes\\\/\",\"name\":\"Network Codes - Dimitri Bertsekas\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/#website\"},\"datePublished\":\"2023-07-13T20:11:53+00:00\",\"dateModified\":\"2023-07-26T00:02:45+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/network-codes\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/network-codes\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/network-codes\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Network Codes\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/#website\",\"url\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/\",\"name\":\"Dimitri Bertsekas\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/faculty.engineering.asu.edu\\\/bertsekas2\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Network Codes - Dimitri Bertsekas","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/","og_locale":"en_US","og_type":"article","og_title":"Network Codes - Dimitri Bertsekas","og_description":"\u2013&nbsp;Misc network optimization codes.&nbsp;for shortest path, max-flow, assignment, and linear single commodity network flow optimization \u2013&nbsp;RELAX4 code&nbsp;and&nbsp;RELAX4 documentation&nbsp;for linear single commodity network optimization. \u2013&nbsp;C++ Implementation of RELAX4 code&nbsp;from University&nbsp; of Pisa \u2013&nbsp;AUCTION and other algorithms&nbsp;for assignment problems. \u2013&nbsp;Muliticommodity Flow&nbsp;algorithm based on gradient projection method and a path flow formulation. \u2013&nbsp;Epsilon-Relaxation method&nbsp;(also known as the preflow...","og_url":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/","og_site_name":"Dimitri Bertsekas","article_modified_time":"2023-07-26T00:02:45+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/","url":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/","name":"Network Codes - Dimitri Bertsekas","isPartOf":{"@id":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/#website"},"datePublished":"2023-07-13T20:11:53+00:00","dateModified":"2023-07-26T00:02:45+00:00","breadcrumb":{"@id":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/network-codes\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/"},{"@type":"ListItem","position":2,"name":"Network Codes"}]},{"@type":"WebSite","@id":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/#website","url":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/","name":"Dimitri Bertsekas","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/users\/228"}],"replies":[{"embeddable":true,"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":0,"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"wp:attachment":[{"href":"https:\/\/faculty.engineering.asu.edu\/bertsekas2\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}