Auxílio à pesquisa 16/01860-1 - Otimização combinatória, Programação da produção - BV FAPESP
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Problemas de corte, empacotamento, dimensionamento de lotes, programação da produção, roteamento, localização e suas integrações em contextos industriais e logísticos

Processo: 16/01860-1
Modalidade de apoio:Auxílio à Pesquisa - Temático
Área do conhecimento:Engenharias - Engenharia de Produção - Pesquisa Operacional
Pesquisador responsável:Reinaldo Morabito Neto
Beneficiário:Reinaldo Morabito Neto
Instituição Sede: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brasil
Pesquisadores principais:
( Últimos )
Débora Pretti Ronconi ; Horacio Hideki Yanasse ; Maristela Oliveira dos Santos ; Pedro Augusto Munari Junior ; Silvio Alexandre de Araujo
Pesquisadores principais:
( Antigos )
Vinicius Amaral Armentano
Pesquisadores associados:Adriana Cristina Cherri ; Aline Aparecida de Souza Leão ; Andrea Carla Gonçalves Vianna ; Antônio Augusto Chaves ; Carlos Alberto Alonso Sanches ; Claudio Fabiano Motta Toledo ; Cleber Damião Rocco ; Deisemara Ferreira ; Denise Sato Yamashita ; Desiree Maldonado Carvalho ; Diego Jacinto Fiorotto ; Douglas José Alem Junior ; Eli Angela Vitor Toso ; Ernesto Julián Goldberg Birgin ; Flávio Keidi Miyazawa ; Flávio Molina da Silva ; Gislaine Mara Melega ; Kelly Cristina Poldi ; Leonardo Junqueira ; Luiz Leduíno de Salles Neto ; Marcos Mansano Furlan ; Mariá Cristina Vasconcelos Nascimento Rosset ; Maria Do Socorro Nogueira Rangel ; Maria José Pinto ; Marina Andretta ; Maristela Oliveira dos Santos ; Mateus Pereira Martin ; Mônica Maria de Marchi ; Nei Yoshihiro Soma ; Pedro Augusto Munari Junior ; Roberto Fernandes Tavares Neto ; Sônia Cristina Poltroniere ; Tamara Angélica Baldo ; Victor Claudio Bento de Camargo ; Vitória Maria Miranda Pureza
Auxílio(s) vinculado(s):19/04117-6 - International Congress on Industrial and Applied Mathematics (ICIAM), AR.EXT
19/04013-6 - 30th European Conference on Operational Research, AR.EXT
18/12796-8 - L SBPO - Simpósio Brasileiro de Pesquisa Operacional, AR.BR
Bolsa(s) vinculada(s):22/08469-7 - Análise do impacto da possibilidade de preparação crossover no problema de dimensionamento de lotes, BP.IC
22/10993-6 - Problemas de roteamento de veículos com coletas e entregas sob incertezas nos tempos de viagem e demandas, BP.MS
22/10303-0 - Problema de roteamento de veículos com restrições de empacotamento, entrega fracionada e emissão de poluentes: modelos e algoritmos, BP.PD
+ mais bolsas vinculadas 22/06747-0 - Métodos heurísticos aplicados ao problema multiobjetivo de programação de atividades de técnicos de campo, BP.PD
21/14441-5 - Uma abordagem com dois níveis de rotas para o Problema de Roteamento de Veículos com Janelas de Tempo e Múltiplos Entregadores: formulações e métodos exatos, BP.MS
20/11602-5 - Otimização do roteamento de aeronaves com alocação de tripulações e passageiros para o transporte aéreo não regular, BP.DR
20/10069-1 - Heurísticas de factibilização para a relaxação surrogate do problema de dimensionamento de lotes em fundições de pequeno porte, BP.IC
20/07979-6 - Modelo multiobjetivo para localização de unidades de atendimento de saúde considerando priorização por indicadores socioeconômicos e critérios de equidade, BP.IC
20/00747-2 - Novas formulações para o problema de minimização de pilhas abertas e correlatos, BP.PD
19/22235-6 - Roteamento de aeronaves sob incertezas via otimização robusta, BP.MS
19/17295-0 - Análise de flexibilidade em problemas de dimensionamento de lotes, BP.DD
19/18227-8 - Um estudo sobre o problema de empacotamento de objetos para impressão 3D, BP.IC
18/14895-3 - Problemas de dimensionamento de lotes: integrações e extensões, BE.PQ
19/01145-9 - Análise de flexibilidade de máquinas para o problema de dimensionamento de lotes em sistemas não balanceados, BP.MS
19/00614-5 - Problemas de dimensionamento de lotes integrados: revisão bibliográfica, classificação e direções futuras, BP.PD
18/10284-0 - Planejamento da produção integrado ao problema de otimização da utilização de fôrmas, BP.DR
18/16600-0 - O problema de corte bidimensional com sobras aproveitáveis e incerteza na demanda, BP.DD
18/13972-4 - Procedimentos heurísticos para o problema de corte unidimensional com sobras aproveitáveis, BP.IC
18/19893-9 - Problemas integrados de dimensionamento de lotes e corte de estoque, BP.PD
18/11877-4 - Problemas de corte e empacotamento bidimensionais com itens do tipo tetris, BP.IC
18/10959-7 - Estudo e desenvolvimento de heurísticas para resolução do problema de empacotamento de cilindros em níveis, BP.IC
18/03819-4 - Métodos para Resolução de Problemas de Otimização Quadráticos Binários, BP.DR
18/00463-4 - Otimização robusta aplicada ao roteamento de veículos, BP.IC
17/26969-9 - Um estudo do problema da mochila com restrições especiais, BP.IC
17/25278-2 - Modelo multiobjetivo para planejamento de logística reversa de resíduos de equipamentos eletroeletrônicos (REEE), BP.IC
17/23536-4 - Formulações matemáticas para o problema de dimensionamento de lotes e aplicações no planejamento da produção industrial, BP.IC
17/18192-4 - Otimização do processo de corte integrado ao dimensionamento de lotes de produção em indústrias com múltiplas plantas, BP.DR
17/20740-0 - Estudos sobre o problema de corte de estoque: aspectos teóricos e computacionais e sua aplicabilidade em contextos industriais, BP.IC
17/20294-0 - Análise do uso do IG (Iterated Greedy) no problema de minimização do tempo de fluxo de produtos acabados em um ambiente integrado produção-distribuição, BP.IC
17/07573-7 - Planejamento da produção e distribuição de polímeros reciclados, BP.IC
17/14358-5 - Reformulações para problemas de dimensionamento de lotes, BP.IC - menos bolsas vinculadas
Assunto(s):Otimização combinatória  Programação da produção  Dimensionamento de lotes  Problemas de corte e empacotamento  Logística 
Palavra(s)-Chave do Pesquisador:dimensionamento de lotes | Localização de Facilidades | Problema de Corte e Empacotamento | Problemas Integrados | Programação da Produção | roteamento de veículos | Otimização combinatória

Resumo

Os problemas a serem estudados neste projeto temático podem ser divididos em: (A) problemas de corte; (B) problemas de empacotamento; (C) problemas de dimensionamento de lotes; (D) problemas de programação da produção; (E) problemas de roteamento; (F) problemas de localização e (G) a integração destes problemas. Além do estudo e desenvolvimento de modelos matemáticos relacionados a estes problemas, métodos de solução e algoritmos para resolvê-los serão desenvolvidos e seus desempenhos computacionais serão analisados. O projeto visa também dar continuidade à integração e colaboração de grupos de pesquisadores de diferentes instituições interessados nestes problemas, assim como a formação de recursos humanos e a capacitação em pesquisa e desenvolvimento tecnológico. Pretendemos intensificar a cooperação entre o setor produtivo e a academia, com o desenvolvimento de estudos de caso nas empresas. Esperamos, com isso, possibilitar colaborações e parcerias no estudo destes problemas e no desenvolvimento de ferramentas computacionais para serem utilizadas na prática. A equipe deste projeto é formada por vários pesquisadores em diversos estágios de suas carreiras acadêmicas, desde alunos de pós-graduação e recém-doutores, até pesquisadores experientes na pesquisa destes problemas. Observamos que este projeto é uma continuação de outros dois projetos temáticos FAPESP, sendo o primeiro desenvolvido entre 2006 e 2010 e o segundo entre 2010 e 2015. Nos projetos anteriores foram estudados principalmente problemas em (A), (B), (C) e (D), bem como, algumas integrações destes problemas. (AU)

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Publicações científicas (151)
(Referências obtidas automaticamente do Web of Science e do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores)
MUNDIM, LEANDRO R.; ANDRETTA, MARINA; CARRAVILLA, MARIA ANTONIA; OLIVEIRA, JOSE FERNANDO. A general heuristic for two-dimensional nesting problems with limited-size containers. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, v. 56, n. 1-2, SI, p. 709-732, . (13/07375-0, 16/01860-1)
SIGNORINI, CAROLINE DE ARRUDA; DE ARAUJO, SILVIO ALEXANDRE; MELEGA, GISLAINE MARA. One-dimensional multi-period cutting stock problems in the concrete industry. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, . (16/01860-1, 18/14895-3, 18/10284-0, 13/07375-0, 18/19893-9)
DO NASCIMENTO, D. N.; DE ARAUJO, S. A.; CHERRI, A. C.. Integrated lot-sizing and one-dimensional cutting stock problem with usable leftovers. ANNALS OF OPERATIONS RESEARCH, . (13/07375-0, 16/01860-1, 18/16600-0)
MANGUINO, JOAO L. V.; RONCONI, DEBORA P.. Step cost functions in a fleet size and mix vehicle routing problem with time windows. ANNALS OF OPERATIONS RESEARCH, . (16/01860-1, 13/07375-0)
BIRGIN, E. G.; BUENO, L. F.; MARTINEZ, J. M.. On the complexity of solving feasibility problems with regularized models. OPTIMIZATION METHODS & SOFTWARE, . (13/07375-0, 18/24293-0, 16/01860-1)
PAIVA, RAFAEL P.; ROCCO, CLEBER D.; MORABITO, REINALDO. A hierarchical supply chain model for the sugar-alcohol energy sector with robust optimization analysis. International Transactions in Operational Research, . (16/01860-1)
BIRGIN, E. G.; MARTINEZ, J. M.. Complexity and performance of an Augmented Lagrangian algorithm. OPTIMIZATION METHODS & SOFTWARE, . (13/07375-0, 16/01860-1, 18/24293-0)
CASTRO, ROBSON FLAVIO; GODINHO-FILHO, MOACIR; TAVARES-NETO, ROBERTO FERNANDES. Dispatching method based on particle swarm optimization for make-to-availability. JOURNAL OF INTELLIGENT MANUFACTURING, . (16/01860-1)
ALYNE TOSCANO; DEISEMARA FERREIRA; REINALDO MORABITO; MURILO TRASSI. Abordagem heurística para otimizar a programação da produção de bebidas à base de frutas. Gestão & Produção, v. 27, n. 4, . (16/01860-1)
CRUZ, CESAR ALVAREZ; MUNARI, PEDRO; MORABITO, REINALDO. A branch-and-price method for the vehicle allocation problem. COMPUTERS & INDUSTRIAL ENGINEERING, v. 149, . (16/01860-1, 16/23366-9)
IORI, MANUEL; DE LIMA, VINICIUS L.; MARTELLO, SILVANO; MIYAZAWA, FLAVIO K.; MONACI, MICHELE. Exact solution techniques for two-dimensional cutting and packing. European Journal of Operational Research, v. 289, n. 2, p. 399-415, . (18/19217-3, 15/11937-9, 19/12728-5, 16/01860-1, 16/23552-7)
FACHINI, RAMON FAGANELLO; ARMENTANO, VINICIUS AMARAL. Logic-based Benders decomposition for the heterogeneous fixed fleet vehicle routing problem with time windows. COMPUTERS & INDUSTRIAL ENGINEERING, v. 148, . (16/01860-1, 16/06566-4)
MUNARI, PEDRO; MORENO, ALFREDO; DE LA VEGA, JONATHAN; ALEM, DOUGLAS; GONDZIO, JACEK; MORABITO, REINALDO. The Robust Vehicle Routing Problem with Time Windows: Compact Formulation and Branch-Price-and-Cut Method. TRANSPORTATION SCIENCE, v. 53, n. 4, p. 1043-1066, . (16/23366-9, 13/07375-0, 15/14582-7, 14/50228-0, 15/26453-7, 16/01860-1)
SERNAGIOTTO, MARCO AURELIO; ROSSET, VALERIO; NASCIMENTO, V, MARIA C.. A novel multi-objective approach for link selection in aeronautical telecommunication networks. ANNALS OF OPERATIONS RESEARCH, . (16/01860-1)
MARTIN, MATEUS; BIRGIN, ERNESTO G.; LOBATO, RAFAEL D.; MORABITO, REINALDO; MUNARI, PEDRO. Models for the two-dimensional rectangular single large placement problem with guillotine cuts and constrained pattern. International Transactions in Operational Research, v. 27, n. 2, . (13/07375-0, 16/01860-1, 12/23916-8, 16/08039-1)
FUCHIGAMI, HELIO YOCHIHIRO; SARKER, RUHUL; RANGEL, SOCORRO. Near-Optimal Heuristics for Just-In-Time Jobs Maximization in Flow Shop Scheduling. ALGORITHMS, v. 11, n. 4, . (13/07375-0, 16/01860-1)
BIRGIN, E. G.; ROMAO, O. C.; RONCONI, D. P.. The multiperiod two-dimensional non-guillotine cutting stock problem with usable leftovers. International Transactions in Operational Research, v. 27, n. 3, p. 1392-1418, . (13/07375-0, 16/01860-1, 13/03447-6)
FIOROTTO, DIEGO JACINTO; JANS, RAF; DE ARAUJO, SILVIO ALEXANDRE. Integrated lot sizing and blending problems. Computers & Operations Research, v. 131, . (16/01860-1, 18/18754-5, 18/14895-3)
MARCELO FERREIRA; VICTOR CLAUDIO BENTO CAMARGO; SILVIO ALEXANDRE DE ARAUJO. THE REEL ALLOCATION PROBLEM OF A CORRUGATED PACKAGING COMPANY. Pesquisa Operacional, v. 40, . (13/07375-0, 16/01860-1)
QUEIROZ, THIAGO A.; BRACHT, EVANDRO C.; MIYAZAWA, FLAVIO K.; BITTENCOURT, MARCO L.. An extension of Queiroz and Miyazawa's method for vertical stability in two-dimensional packing problems to deal with horizontal stability. ENGINEERING OPTIMIZATION, v. 51, n. 6, p. 1049-1070, . (16/23552-7, 16/01860-1, 15/11937-9)
FERNANDES, CRISTINA G.; FERREIRA, CARLOS E.; MIYAZAWA, FLAVIO K.; WAKABAYASHI, YOSHIKO. Prices of Anarchy of Selfish 2D Bin Packing Games. INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, v. 30, n. 3, p. 355-374, . (13/03447-6, 16/23552-7, 16/01860-1, 15/11937-9)
BERGAMINI, FERNANDA PAULA; RIBEIRO, CAROLINA MARTINS; MUNARI, PEDRO; FERREIRA, DEISEMARA. Production planning with parallel lines and limited batch splitting: Mathematical model and a case study in the white goods sector. Journal of the Operational Research Society, . (16/01860-1, 13/07375-0, 16/23366-9)
TOSCANO, ALYNE; FERREIRA, DEISEMARA; MORABITO, REINALDO. Formulation and MIP-heuristics for the lot sizing and scheduling problem with temporal cleanings. Computers & Chemical Engineering, v. 142, . (16/01860-1)
FURTADO, MARIA GABRIELA S.; CAMARGO, VICTOR C. B.; TOLEDO, FRANKLINA M. B.. The production planning problem of orders in small foundries. RAIRO-OPERATIONS RESEARCH, v. 53, n. 5, p. 1551-1561, . (12/20278-0, 13/07375-0, 09/11877-5, 16/01860-1)
LEMOS, FELIPE KESROUANI; CHERRI, ADRIANA CRISTINA; DE ARAUJO, SILVIO ALEXANDRE. The cutting stock problem with multiple manufacturing modes applied to a construction industry. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, v. 59, n. 4, p. 1088-1106, . (16/01860-1, 13/07375-0)
ANDRADE, PEDRO ROCHAVETZ DE LARA; DE ARAUJO, SILVIO ALEXANDRE; CHERRI, ADRIANA CRISTINA; LEMOS, FELIPE KESROUANI. The integrated lot sizing and cutting stock problem in an automotive spring factory. Applied Mathematical Modelling, v. 91, p. 1023-1036, . (16/01860-1, 13/07375-0)
SIMOYAMA, FELIPE DE OLIVEIRA; TOMAS, LIVIA RODRIGUES; PINTO, FELIPE MATHEUS; SALLES-NETO, LUIZ LEDUINO; SANTOS, LEONARDO BACELAR LIMA. Optimal rain gauge network to reduce rainfall impacts on urban mobility - a spatial sensitivity analysis. INDUSTRIAL MANAGEMENT & DATA SYSTEMS, v. 122, n. 10, p. 20-pg., . (21/03269-7, 16/01860-1)
DE CAMPOS, RAFAEL AJUDARTE; VIEIRA, THIAGO; MUNARI, PEDRO; MES, M; LALLARUIZ, E; VOSS, S. A Branch-and-Cut Algorithm for Aircraft Routing with Crew Assignment for On-Demand Air Transportation. COMPUTATIONAL LOGISTICS (ICCL 2021), v. 13004, p. 16-pg., . (19/22235-6, 16/01860-1, 20/11602-5, 19/23596-2)
MANGUINO, JOAO L. V.; RONCONI, DEBORA P.. Step cost functions in a fleet size and mix vehicle routing problem with time windows. ANNALS OF OPERATIONS RESEARCH, v. 316, n. 2, p. 26-pg., . (13/07375-0, 16/01860-1)
CHRISTOFOLETTI, MAURICIO MOZ; DE ARAUJO, SILVIO ALEXANDRE; CHERRI, ADRIANA CRISTINA. Integrated lot-sizing and cutting stock problem applied to the mattress industry. Journal of the Operational Research Society, v. 72, n. 6, p. 1279-1293, . (13/07375-0, 16/01860-1)
OLIVEIRA, WASHINGTON A.; FIOROTTO, DIEGO J.; SONG, XIANG; JONES, DYLAN F.. An extended goal programming model for the multiobjective integrated lot-sizing and cutting stock problem. European Journal of Operational Research, v. 295, n. 3, p. 996-1007, . (16/01860-1, 18/18754-5)
RONCONI, DEBORA P.; MANGUINO, JOAO L. V.. GRASP and VNS approaches for a vehicle routing problem with step cost functions. ANNALS OF OPERATIONS RESEARCH, v. N/A, p. 26-pg., . (16/01860-1, 13/07375-0)
BIRGIN, ERNESTO G.; LAURAIN, ANTOINE; MASSAMBONE, RAFAEL; SANTANA, ARTHUR G.. A SHAPE-NEWTON APPROACH TO THE PROBLEM OF COVERING WITH IDENTICAL BALLS. SIAM JOURNAL ON SCIENTIFIC COMPUTING, v. 44, n. 2, p. 27-pg., . (16/01860-1, 18/24293-0, 13/07375-0, 19/25258-7)
MULATI, MAURO HENRIQUE; FUKASAWA, RICARDO; MIYAZAWA, FLAVIO KEIDI. The Arc-Item-Load and Related Formulations for the Cumulative Vehicle Routing Problem. DISCRETE OPTIMIZATION, v. 45, p. 25-pg., . (15/11937-9, 16/01860-1)
BIRGIN, E. G.; KREJIC, N.; MARTINEZ, J. M.. ITERATION AND EVALUATION COMPLEXITY FOR THE MINIMIZATION OF FUNCTIONS WHOSE COMPUTATION IS INTRINSICALLY INEXACT. Mathematics of Computation, v. 89, n. 321, p. 253-278, . (13/03447-6, 13/05475-7, 13/07375-0, 14/18711-3, 16/01860-1)
BIRGIN, E. G.; HAESER, G.; RAMOS, A.. Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 69, n. 1, p. 51-75, . (13/07375-0, 16/02092-8, 16/01860-1, 13/05475-7, 13/03447-6)
LINTZMAYER, CARLA N.; MIYAZAWA, FLAVIO K.; MOURA, PHABLO F. S.; XAVIER, EDUARDO C.. Randomized approximation scheme for Steiner Multi Cycle in the Euclidean plane. THEORETICAL COMPUTER SCIENCE, v. 835, p. 134-155, . (16/23552-7, 16/21250-3, 17/22611-2, 15/11937-9, 16/01860-1)
MARTIN, MATEUS; YANASSE, HORACIO HIDEKI; SANTOS, MARISTELA O.; MORABITO, REINALDO. Models for two- and three-stage two-dimensional cutting stock problems with a limited number of open stacks. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, v. N/A, p. 22-pg., . (13/07375-0, 20/00747-2, 16/01860-1)
LEMOS, F. K.; CHERRI, A. C.; DE ARAUJO, S. A.; YANASSE, H. H.. Minimizing saw cycles on the cutting stock problem with processing times depending on the cutting pattern. Journal of the Operational Research Society, v. N/A, p. 15-pg., . (13/07375-0, 16/01860-1)
BIRGIN, E. G.; LAURAIN, A.; MENEZES, T. C.. SENSITIVITY ANALYSIS AND TAILORED DESIGN OF MINIMIZATION DIAGRAMS. Mathematics of Computation, v. 92, n. 344, p. 54-pg., . (18/24293-0, 13/07375-0, 21/05168-3, 16/01860-1)
DE SOUZA QUEIROZ, LAYANE RODRIGUES; ANDRETTA, MARINA. Two effective methods for the irregular knapsack problem. APPLIED SOFT COMPUTING, v. 95, p. 16-pg., . (13/07375-0, 16/01860-1)
NUNES, WESLEY H. B.; MOREIRA, MAYRON C. O.; ANDRETTA, MARINA; IEEE. A Genetic Algorithm for the Nesting Problem With Continuous Rotations. 2021 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION (CEC 2021), v. N/A, p. 8-pg., . (13/07375-0, 16/01860-1)
BATTAGELLO, VINICIUS ANTONIO; SOMA, NEI YOSHIHIRO; AFONSO, RUBENS JUNQUEIRA MAGALHAES. Computational load reduction of the agent guidance problem using Mixed Integer Programming. PLoS One, v. 15, n. 6, . (16/01860-1)
BIRGIN, E. G.; MARTINEZ, J. M.. Complexity and performance of an Augmented Lagrangian algorithm. OPTIMIZATION METHODS & SOFTWARE, v. 35, n. 5, SI, p. 885-920, . (18/24293-0, 13/07375-0, 16/01860-1)
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ALEM, DOUGLAS; BONILLA-LONDONO, HECTOR F.; BARBOSA-POVOA, ANA PAULA; RELVAS, SUSANA; FERREIRA, DEISEMARA; MORENO, ALFREDO. Building disaster preparedness and response capacity in humanitarian supply chains using the Social Vulnerability Index. European Journal of Operational Research, v. 292, n. 1, p. 250-275, . (16/01860-1)
HORTENCIO, HANNA PAMPLONA; RONCONI, DEBORA PRETTI; GERVASI, O; MURGANTE, B; MISRA, S; GARAU, C; BLECIC, I; TANIAR, D; APDUHAN, BO; ROCHA, AMAC; et al. Mixed Integer Linear Programming Models for Scheduling Elective Surgical Procedures. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2020, PT III, v. 12251, p. 16-pg., . (13/07375-0, 16/01860-1)
DE LA VEGA, JONATHAN; MORENO, ALFREDO; MORABITO, REINALDO; MUNARI, PEDRO. A robust optimization approach for the unrelated parallel machine scheduling problem. Top, v. N/A, p. 36-pg., . (16/15966-6, 19/23596-2, 15/14582-7, 16/01860-1)
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MIYAZAWA, FLAVIO K.; WAKABAYASHI, YOSHIKO. Techniques and results on approximation algorithms for packing circles. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 16, n. 1, p. 31-pg., . (15/11937-9, 16/01860-1)
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