{"id":"https://openalex.org/keywords/optimal-solution","display_name":"optimal solution","description":"A feasible decision or set of values that achieves the best objective value in a mathematical optimization problem.","display_name_alternatives":["optimal solutions","optimum solution","optimum solutions"],"ids":{"openalex":"https://openalex.org/keywords/optimal-solution","wikidata":null},"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.2876,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.2876,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"works_count":4276,"cited_by_count":53420,"works_api_url":"https://api.openalex.org/works?filter=keywords.id:keywords/optimal-solution","updated_date":"2026-10-22T04:07:25","created_date":"2026-09-30T00:00:00"}