Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2011540169', 'doi': 'https://doi.org/10.1007/bf01580667', 'title': 'A set of geometric programming test problems and their solutions', 'display_name': 'A set of geometric programming test problems and their solutions', 'publication_year': 1976, 'publication_date': '1976-12-01', 'ids': {'openalex': 'https://openalex.org/W2011540169', 'doi': 'https://doi.org/10.1007/bf01580667', 'mag': '2011540169'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01580667', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S193920097', 'display_name': 'Mathematical Programming', 'issn_l': '0025-5610', 'issn': ['0025-5610', '1436-4646'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5043251372', 'display_name': 'Ron S. Dembo', 'orcid': 'https://orcid.org/0000-0002-6787-3135'}, 'institutions': [{'id': 'https://openalex.org/I151746483', 'display_name': 'University of Waterloo', 'ror': 'https://ror.org/01aff2v68', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I151746483']}], 'countries': ['CA'], 'is_corresponding': True, 'raw_author_name': 'Ron S. Dembo', 'raw_affiliation_strings': [' University of Waterloo, Waterloo, Canada'], 'affiliations': [{'raw_affiliation_string': ' University of Waterloo, Waterloo, Canada', 'institution_ids': ['https://openalex.org/I151746483']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5043251372'], 'corresponding_institution_ids': ['https://openalex.org/I151746483'], 'apc_list': {'value': 2190, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 3.701, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 136, 'citation_normalized_percentile': {'value': 0.973459, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '10', 'issue': '1', 'first_page': '192', 'last_page': '213'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9942, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10963', 'display_name': 'Numerical Optimization Techniques', 'score': 0.9942, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10996', 'display_name': 'Mesh Generation Algorithms', 'score': 0.967, 'subfield': {'id': 'https://openalex.org/subfields/1704', 'display_name': 'Computer Graphics and Computer-Aided Design'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10545', 'display_name': 'Iterative Algorithms for Nonlinear Operators and Optimization', 'score': 0.9486, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/geometric-programming', 'display_name': 'Geometric programming', 'score': 0.8263999}, {'id': 'https://openalex.org/keywords/nonlinear-programming', 'display_name': 'Nonlinear Programming', 'score': 0.594378}, {'id': 'https://openalex.org/keywords/mixed-integer-nonlinear-programs', 'display_name': 'Mixed-Integer Nonlinear Programs', 'score': 0.583337}, {'id': 'https://openalex.org/keywords/computational-geometry', 'display_name': 'Computational Geometry', 'score': 0.542957}, {'id': 'https://openalex.org/keywords/quadratic-programming', 'display_name': 'Quadratic Programming', 'score': 0.514616}, {'id': 'https://openalex.org/keywords/semidefinite-programming', 'display_name': 'Semidefinite Programming', 'score': 0.510373}, {'id': 'https://openalex.org/keywords/degree', 'display_name': 'Degree (music)', 'score': 0.43511423}], 'concepts': [{'id': 'https://openalex.org/C20729856', 'wikidata': 'https://www.wikidata.org/wiki/Q2078279', 'display_name': 'Geometric programming', 'level': 2, 'score': 0.8263999}, {'id': 'https://openalex.org/C115527620', 'wikidata': 'https://www.wikidata.org/wiki/Q769909', 'display_name': 'Nonlinear programming', 'level': 3, 'score': 0.70391774}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.65339607}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.6122429}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.56194645}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.4840871}, {'id': 'https://openalex.org/C2775997480', 'wikidata': 'https://www.wikidata.org/wiki/Q586277', 'display_name': 'Degree (music)', 'level': 2, 'score': 0.43511423}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.40802565}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.28250828}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.13700923}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01580667', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S193920097', 'display_name': 'Mathematical Programming', 'issn_l': '0025-5610', 'issn': ['0025-5610', '1436-4646'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W1998974225', 'https://openalex.org/W2026864262', 'https://openalex.org/W2048239613', 'https://openalex.org/W2120039601', 'https://openalex.org/W251845841', 'https://openalex.org/W370143576', 'https://openalex.org/W83447705'], 'related_works': ['https://openalex.org/W4288489476', 'https://openalex.org/W4247266553', 'https://openalex.org/W4245144035', 'https://openalex.org/W4239270252', 'https://openalex.org/W2787752029', 'https://openalex.org/W2782026925', 'https://openalex.org/W2376537495', 'https://openalex.org/W2166012007', 'https://openalex.org/W1982340762', 'https://openalex.org/W1636746500'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2011540169', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 6}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 6}, {'year': 2015, 'cited_by_count': 6}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-08-12T18:35:47.881856', 'created_date': '2016-06-24'}