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Belmiro Duarte is a Coordinator Professor (habil.) at the Department of Chemical and Biological Engineering, Coimbra Engineering Academy, organic entity of the Polytechnic Institute of Coimbra. He teaches courses in Modeling and Simulation, Product Design, Process Design, and Quality Management. His expertise lies in Process Systems Engineering, Biostatistics and Optimization, with significant contributions to research in optimization, biostatistics, process simulation, and quality improvement. Belmiro holds a degree in Chemical Engineering, a Ph.D. in Process Control and Simulation, an MSc in Management (specializing in Scientific Methods of Decision Making), and a Habilitation in Chemical Engineering. With extensive experience in both academia and industry, he has worked as a researcher and consultant, leading advanced developments in experimental design, process modeling using phenomenologica and data-driven paradigms, process optimization, and the development of innovative energy systems by using optimization and simulation tools. He was an integrated research member of Research Centre in Chemical Engineering Reaction and Environmental Sustainability between 2000 and 2024. Currently, he in an integrated research member at INESC-Coimbra.
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Identification

Personal identification

Full name
Belmiro Pereira Duarte

Citation names

  • Duarte, Belmiro P.M.
  • Belmiro Duarte

Author identifiers

Ciência ID
1719-5FA9-F443
ORCID iD
0000-0003-2550-4320
Google Scholar ID
https://scholar.google.com/citations?user=iAXRSzcAAAAJ&hl=pt-PT
Researcher Id
https://publons.com/researcher/1253340/belmiro-pereira-mota-duarte/
Scopus Author Id
7004444100

Knowledge fields

  • Engineering and Technology - Chemical Engineering - Chemical Process Engineering
  • Exact Sciences - Mathematics - Statistics and Probability

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
Education
Degree Classification
2024/03/08
Concluded
 Engenharia Química e Bioquímica (Título de Agregado)
Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1995 - 1998
Concluded
 Gestão de Informação nas Organizações (Mestrado)
Universidade de Coimbra Faculdade de Economia, Portugal
"A utilização da Teoria da Utilidade Esperada em ambientes de decisão industrial" (THESIS/DISSERTATION)
1991 - 1995
Concluded
 Engenharia Química (Doutoramento)
Major in Especialidade: Simulação e Controlo de Processos
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Método dos Elementos Finitos Móveis Aplicado À Resolução de Modelos de Frente de Reacção" (THESIS/DISSERTATION)
1988 - 1991
Concluded
 Engenharia Química (Licenciatura)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
 15
1984 - 1988
Concluded
 Engenharia Química (Bacharelato)
Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, Portugal
 15
Affiliation

Science

Category
Host institution 		Employer
1995 - 1996 Principal Investigator (Research) Companhia de Celulose do Caima, S.A., Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2024/07 - Current Teacher Coordinator (Polytechnic Teacher) Instituto Superior de Engenharia de Coimbra - Instituto Politécnico de Coimbra, Portugal
1999 - 2024 Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Coimbra, Portugal
Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, Portugal

Positions / Appointments

Category
Host institution 		Employer
2013 - 2017 Presidência de Departamento Instituto Politécnico de Coimbra, Portugal
Projects

Contract

Designation Funders
2018 - 2021 inpactus - Produtos e tecnologias inovadores a partir do eucalipto
POCI-01-0247-FEDER-021874
Researcher
2010 - 2014 nG2P - Estratégias de produção de nanopartículas de óxidos metálicos baseadas em técnicas do tipo gás-partículas
PTDC/EQU-EPR/114990/2009
Researcher
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 102 - 2011-2012
PEst-C/EQB/UI0102/2011
Universidade de Coimbra Centro de Investigação em Engenharia dos Processos Químicos e dos Produtos da Floresta, Portugal

Universidade de Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2009/02/01 - 2012/01/31 Optimização Dinâmica e Controlo Avançado de Processos Químicos
PTDC/EQU-ESI/73458/2006
Universidade de Coimbra Centro de Investigação em Engenharia dos Processos Químicos e dos Produtos da Floresta, Portugal

Universidade de Lisboa Instituto Superior Técnico, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2006 - 2009 Otimização dinâmica e controlo avançado de processos químicos
PTDC/EQU-ESI/73458/2006
Researcher
2000 - 2005 Combinação de abordagens mecanísticas e empíricas na análise de dados operatórios
POCTI/1999/EQU/32647
Researcher
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
Concluded
1998 - 2002 Supervisão integrada e otimização de processos químicos em tempo real
PRAXIS/C/EQU/11239/98
Researcher
1998 - 2001 Escalonamento e re-projecto de instalações de operação descontínua
PRAXIS/C/EQU/14174/98
Researcher
Concluded
1995/01 - 1997/06 Bleaching through enzymes via scaling of technology
LIFE93 ENV/UK/003164
Research Fellow
Companhia de Celulose do Caima, S.A., Portugal
Concluded
1995/01 - 1997/03 Case-based learning environment for plant process management
BRE2 0189_5255
Research Fellow
Outputs

Publications

Book
  1. Nunes, D.S.; Granjo, J.F.O.; Duarte, B.P.M.; Oliveira, N.M.C.. Analysis of Process Alternatives for Energy-Efficient Bioethanol Downstream Processing. 2019.
    10.1016/B978-0-12-818634-3.50066-7
  2. Duarte, B.P.M.; Moura, M.J.; Gil, M.H.; Figueiredo, M.M.; Belmiro P.M. Duarte; Maria J. Moura; Maria H. Gil; Maria M. Figueiredo. Modeling the drug release from ionic and covalent co-cross-linked chitosan hydrogels. 2017.
    10.1016/B978-0-444-63965-3.50172-0
  3. Duarte, B.P.M.; Sagnol, G.; Oliveira, N.M.C.; Belmiro P.M. Duarte; Guillaume Sagnol; Nuno M.C. Oliveira. A Robust Minimax Semidefinite Programming Formulation for Optimal Design of Experiments for Model Parametrization. 2015.
    10.1016/B978-0-444-63578-5.50146-8
  4. Duarte, B.P.M.; Oliveira, N.M.C.. Model based optimal experimental design - a semidefinite programming approach applied to a solvent design problem. 2013.
    10.1016/B978-0-444-63234-0.50131-7
  5. Duarte, B.P.M.; Oliveira, N.M.C.; Moura, M.J.C.. Optimal design of chitosan-based scaffolds for controlled drug release using dynamic optimization. 2011.
    10.1016/B978-0-444-54298-4.50089-1
  6. Machado, D.M.J.; Neves, F.J.M.; Mendes, F.P.; Araújo, P.P.; Duarte, B.P.M.; Oliveira, N.M.C.. Systematic selection of extraction solvents in the aromatics production. 2009.
    10.1016/S1570-7946(09)70013-6
  7. Granjo, J.F.O.; Duarte, B.P.D.; Oliveira, N.M.C.. Kinetic models for the homogeneous alkaline and acid catalysis in biodiesel production. 2009.
    10.1016/S1570-7946(09)70301-3
  8. Duarte, B.P.; Moura, M.J.; Neves, F.J.M.; Oliveira, N.M.C.. A mathematical programming framework for optimal model selection/validation of process data. 2008.
    10.1016/S1570-7946(08)80062-4
  9. Duarte, B.P.M.; Saraiva, P.M.. Detection of multiple structural changes in linear processes through Change Point Analysis and bootstraping. 2008.
    10.1016/S1570-7946(08)80116-2
  10. P.M. Duarte, B.; M.C. Oliveira, N.; S. Mariano, J.. Optimal sizing of production units for goods subject to stochastic demand. 2007.
    10.1016/S1570-7946(07)80120-9
  11. P.M Duarte, B.; M.S.G. Baptista, C.. Using moving finite elements method to solve population balance equations comprising breakage terms. 2007.
    10.1016/S1570-7946(07)80066-6
  12. Duarte, B.P.M.; Santos, L.O.; Mariano, J.S.. A combinatorial formulation for optimal sizing, scheduling and shift policy in designing the milling section of a ceramic tile industrial plant. 2006.
    10.1016/S1570-7946(06)80162-8
  13. Duarte, B.P.M.; Saraiva, P.M.. Change point detection for quality monitoring of chemical processes. 2003.
    10.1016/S1570-7946(03)80148-7
  14. Castro, P.; Barbosa-Póvoa, A.P.F.D.; Matos, H.; Duarte, B.. Dynamic modelling and scheduling of an industrial batch digester cooking system. 2001.
    10.1016/S1570-7946(01)80135-8
Book chapter
  1. Duarte, BPM; Atkinson, AC. "Algorithms for Optimal Design of Experiments". 2025.
    10.1007/978-3-662-69359-9_17
  2. Carolina S. Vertis; Belmiro P.M. Duarte; Nuno M.C. Oliveira. "Model size determination using data analysis tools in the context of reaction network identification". 1021-1026. Elsevier, 2023.
    10.1016/b978-0-443-15274-0.50163-3
Conference abstract
  1. Lacerda, M; Duarte, B; Gomes, I. "Analysis of the concordance between the BI-RADS classification with USNCB and between USNCB with definitive histological diagnosis in 595 patients (601 consecutive cases)". 2007.
Conference paper
  1. Paiva, R.P.; Dourado, A.; Duarte, B.. "'Applying subtractive clustering for neuro-fuzzy modelling of a bleaching plant'". 2015.
  2. Duarte, BPM; Oliveira, NMC; Mariano, JS. "Optimal sizing of production units for goods subject to stochastic demand". 2007.
  3. Duarte, BPM; Baptista, CMSG. "Using Moving Finite Elements Method to solve Population Balance Equations comprising breakage terms". 2007.
  4. Duarte, Belmiro P.M.; Santos, Lino O.; Mariano, Jorge S.. "Bridging capacity planning and resources allocation in the design of a ceramic industrial plant". Paper presented in 9th International Chemical Engineering Conference - ChemPor 2005, 2005.
Conference poster
  1. Duarte, Belmiro P.M.; Oliveira, Nuno; Santos, Lino O.. "Optimal strategies for quality improvement programs - a discrete time Mathematical Programming formulation". Paper presented in ENBIS 11 -- 11th Annual meeting of the European Network for Business and Industrial Statistics, 2011.
Journal article
  1. Bruno J. B. Julião; Marco S. Reis; Belmiro P. M. Duarte. "A Systematic Lean-Driven Framework for Warehouse Optimization". Systems (2025): https://doi.org/10.3390/systems13090813.
    10.3390/systems13090813
  2. Belmiro P. M. Duarte; Anthony C. Atkinson; Nuno M. C. Oliveira. "Compound optimal design of experiments – Semidefinite Programming formulations". Optimization and Engineering (2025): http://dx.doi.org/10.1007/s11081-025-10001-4.
    10.1007/s11081-025-10001-4
  3. Maria J. Moura; André D. Pereira; Daniel J. F. Santos; Ana G. Silva; Carla C. A. D. Paiva; Belmiro P. M. Duarte. "Cleaning validation in pharmaceutical quality control laboratories: a structured protocol for contamination risk mitigation". DARU Journal of Pharmaceutical Sciences (2025): https://doi.org/10.1007/s40199-025-00566-x.
    10.1007/s40199-025-00566-x
  4. Belmiro P. M. Duarte; Maria J. Moura. "Unraveling the Degradation Kinetics of Genipin-Cross-Linked Chitosan Hydrogels via Symbolic Regression". Processes (2025): https://doi.org/10.3390/pr13071981.
    10.3390/pr13071981
  5. Belmiro P.M. Duarte; Anthony C. Atkinson. "Optimal designs for efficacy-toxicity response in dose finding studies using the bivariate probit model". Computers in Biology and Medicine (2025): https://doi.org/10.1016/j.compbiomed.2025.109848.
    10.1016/j.compbiomed.2025.109848
  6. Ana S. P. Pascoal; Maria J. Moura; Paula C. N. Ferreira; Mara L. C. Ramos; Mónica A. N. Salavessa; Belmiro P. M. Duarte. "A Conceptual Engineering Approach to Developing a Bio-Based Hair Mask". Cosmetics (2025): https://doi.org/10.3390/cosmetics12020045.
    10.3390/cosmetics12020045
  7. Belmiro P. M. Duarte; Maria J. Moura; Lino O. Santos; Nuno M. C. Oliveira. "A Dynamic Model-Fitting Algorithm for Batch Laboratory Data: Application to Constant-Pressure Cake Filtration Experiments". ChemEngineering (2025): https://doi.org/10.3390/chemengineering9010020.
    10.3390/chemengineering9010020
  8. Duarte, BPM; Atkinson, AC; Moerbeek, M. "Information-Theoretic Criteria for Optimizing Designs of Individually Randomized Stepped-Wedge Clinical Trials". STATISTICS AND COMPUTING (2025): https://www.authenticus.pt/P-019-V5G.
    10.1007/s11222-025-10690-y
  9. Pedro M. S. Santos; Belmiro P. M. Duarte; Nuno M. C. Oliveira; Ricardo A. L. Mendes; José L. S. A. Campos; João M. C. Silva. "Modeling the Production of Nanoparticles via Detonation—Application to Alumina Production from ANFO Aluminized Emulsions". Modelling (2024): https://doi.org/10.3390/modelling5040086.
    10.3390/modelling5040086
  10. Belmiro P. M. Duarte; Anthony C. Atkinson; David Pedrosa; Marlena van Munster. "Compound Optimum Designs for Clinical Trials in Personalized Medicine". Mathematics (2024): https://doi.org/10.3390/math12193007.
    10.3390/math12193007
  11. Duarte, Belmiro P. M.; Atkinson, Anthony C.. "Optimum designs for clinical trials in personalized medicine when response variance depends on treatment". Journal of Biopharmaceutical Statistics (2024): 1-18. http://dx.doi.org/10.1080/10543406.2024.2395548.
    10.1080/10543406.2024.2395548
  12. Belmiro P.M. Duarte; Anthony C. Atkinson; Nuno M.C. Oliveira. "Using hierarchical information-theoretic criteria to optimize subsampling of extensive datasets". Chemometrics and Intelligent Laboratory Systems (2024): https://doi.org/10.1016/j.chemolab.2024.105067.
    10.1016/j.chemolab.2024.105067
  13. Belmiro P.M. Duarte; Anthony C. Atkinson; Nuno M.C. Oliveira. "Optimum design for ill-conditioned models: K–optimality and stable parameterizations". Chemometrics and Intelligent Laboratory Systems (2023): https://doi.org/10.1016/j.chemolab.2023.104874.
    10.1016/j.chemolab.2023.104874
  14. Maria J. Moura; Carolina S. Vertis; Vítor Redondo; Nuno M. C. Oliveira; Belmiro P. M. Duarte. "Modeling the Batch Sedimentation of Calcium Carbonate Particles in Laboratory Experiments—A Systematic Approach". Materials (2023): https://doi.org/10.3390/ma16134822.
    10.3390/ma16134822
  15. Anthony C. Atkinson; Belmiro P.M. Duarte; David Pedrosa; Marlena van Munster. "Randomizing a clinical trial in neuro-degenerative disease". Contemporary Clinical Trials Communications (2023): https://doi.org/10.1016/j.conctc.2023.101140.
    10.1016/j.conctc.2023.101140
  16. Isa B. D. Ingrez; Paula C. N. Ferreira; Davide Gameiro; Belmiro P. M. Duarte. "On the Design of Aqueous Emulsions of Colophony Resin". Polymers (2023): https://doi.org/10.3390/polym15071691.
    10.3390/polym15071691
  17. Belmiro P. M. Duarte. "Exact Optimal Designs of Experiments for Factorial Models via Mixed-Integer Semidefinite Programming". Mathematics (2023): https://doi.org/10.3390/math11040854.
    10.3390/math11040854
  18. Belmiro P.M. Duarte; Belmiro P. M. Duarte; Maria J. Moura. "Using rheological monitoring to determine the gelation kinetics of chitosan-based systems". Mathematical Biosciences and Engineering 20 1 (2023): 1176-1194. http://dx.doi.org/10.3934/mbe.2023054.
    10.3934/mbe.2023054
  19. Belmiro P. M. Duarte; Anthony C. Atkinson; Nuno M. C. Oliveira. "Optimal designs for dose-escalation trials and individual allocations in cohorts". Statistics and Computing (2022): https://doi.org/10.1007/s11222-022-10158-3.
    10.1007/s11222-022-10158-3
  20. Belmiro P. M. Duarte; Ana M. F. Carvalho; Daniela S. B. Lima; Diana I. S. Costa; Inês R. Nunes; João P. S. C. Batista; Paulo J. S. Gomes; Fernando P. Bernardo. "Concept Development—From Academia to Industry: A Journey Motivated by the Design of Portable Thermal Slippers". Designs 6 4 (2022): 65-65. https://doi.org/10.3390/designs6040065.
    10.3390/designs6040065
  21. Belmiro P. M. Duarte; Anthony C. Atkinson; Satya P. Singh; Marco S. Reis. "Optimal design of experiments for hypothesis testing on ordered treatments via intersection-union tests". Statistical Papers (2022): https://doi.org/10.1007/s00362-022-01334-8.
    10.1007/s00362-022-01334-8
  22. "Optimal design of multivariate acceptance sampling plans by variables". Journal of Statistical Computation and Simulation (2022): 1-21. http://dx.doi.org/10.1080/00949655.2022.2060223.
    10.1080/00949655.2022.2060223
  23. Duarte, BPM; Atkinson, AC; Granjo, JFO; Oliveira, NMC. "Optimal Design of Experiments for Implicit Models". JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (2022): https://www.authenticus.pt/P-00T-GJ8.
    10.1080/01621459.2020.1862670
  24. Belmiro P.M. Duarte; Anthony C. Atkinson; José F.O. Granjo; Nuno M.C. Oliveira. "Optimal design of mixture experiments for general blending models". Chemometrics and Intelligent Laboratory Systems (2021): https://doi.org/10.1016/j.chemolab.2021.104400.
    10.1016/j.chemolab.2021.104400
  25. Belmiro P. M. Duarte; Anthony C. Atkinson; Nuno M. C. Oliveira. "Optimal experimental design for linear time invariant state–space models". Statistics and Computing 31 4 (2021): https://doi.org/10.1007/s11222-021-10020-y.
    10.1007/s11222-021-10020-y
  26. Belmiro P. M. Duarte; André M. M. Gonçalves; Lino O. Santos. "Optimal Production and Inventory Policy in a Multiproduct Bakery Unit". Processes 9 1 (2021): 101-101. https://doi.org/10.3390/pr9010101.
    10.3390/pr9010101
  27. Duarte, B.P.M.; Atkinson, A.C.; Granjo, J.F.O.; Oliveira, N.M.C.. "A model-based framework assisting the design of vapor-liquid equilibrium experimental plans". Computers and Chemical Engineering 145 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85097106631&partnerID=MN8TOARS.
    10.1016/j.compchemeng.2020.107168
  28. Duarte, Belmiro P.M.. "A comparison of process alternatives for energy-efficient bioethanol downstream processing". Separation and Purification Technology (2019): http://dx.doi.org/10.1016/j.seppur.2019.116414.
    10.1016/j.seppur.2019.116414
  29. Duarte, Belmiro. "Optimal exact design of double acceptance sampling plans by attributes". Journal of Statistical Computation and Simulation (2019): http://dx.doi.org/10.1080/00949655.2019.1663519.
    10.1080/00949655.2019.1663519
  30. Duarte, Belmiro. "Optimal Design of Experiments for Liquid–Liquid Equilibria Characterization via Semidefinite Programming". Processes (2019): http://dx.doi.org/10.3390/pr7110834.
    10.3390/pr7110834
  31. Duarte, Belmiro. "Calculating D-optimal designs for compartmental models with a Michaelis–Menten elimination rate". Journal of Process Control (2019): http://dx.doi.org/10.1016/j.jprocont.2019.09.001.
    10.1016/j.jprocont.2019.09.001
  32. Duarte, Belmiro. "A Metaheuristic Adaptive Cubature Based Algorithm to Find Bayesian Optimal Designs for Nonlinear Models". Journal of Computational and Graphical Statistics (2019): http://dx.doi.org/10.1080/10618600.2019.1601097.
    10.1080/10618600.2019.1601097
  33. Belmiro P. M. Duarte; José F. O. Granjo; Weng Kee Wong. "Optimal exact designs of experiments via Mixed Integer Nonlinear Programming". Statistics and Computing (2019): https://doi.org/10.1007/s11222-019-09867-z.
    10.1007/s11222-019-09867-z
  34. Belmiro P. M. Duarte; Guillaume Sagnol. "Approximate and exact optimal designs for $$2^k$$2k factorial experiments for generalized linear models via second order cone programming". Statistical Papers (2019): https://doi.org/10.1007/s00362-018-01075-7.
    10.1007/s00362-018-01075-7
  35. Belmiro P.M. Duarte; Weng Kee Wong. "Optimal design of multiple-objective Lot Quality Assurance Sampling (LQAS) plans". Biometrics (2018): https://doi.org/10.1111%2Fbiom.13008.
    10.1111/biom.13008
  36. Belmiro P.M. Duarte. "A systematic approach for designing Bayesian-lot quality assurance sampling plans". Operations Research for Health Care (2018): https://doi.org/10.1016%2Fj.orhc.2018.05.001.
    10.1016/j.orhc.2018.05.001
  37. Belmiro P.M. Duarte; Guillaume Sagnol; Weng Kee Wong. "An algorithm based on semidefinite programming for finding minimax optimal designs". Computational Statistics & Data Analysis 119 (2018): 99-117. https://doi.org/10.1016/j.csda.2017.09.008.
    10.1016/j.csda.2017.09.008
  38. Granjo, J.F.O.; Duarte, B.P.M.; Oliveira, N.M.C.. "Systematic Development of Kinetic Models for the Glyceride Transesterification Reaction via Alkaline Catalysis". Industrial and Engineering Chemistry Research 57 30 (2018): 9903-9914. http://www.scopus.com/inward/record.url?eid=2-s2.0-85048371606&partnerID=MN8TOARS.
    10.1021/acs.iecr.7b05328
  39. Belmiro P. M. Duarte; Anthony C. Atkinson. "Optimal designs of experiments for non-isothermal kinetic rates: analysis of different strategies". Optimization and Engineering (2018): https://doi.org/10.1007%2Fs11081-018-9415-4.
    10.1007/s11081-018-9415-4
  40. José F.O. Granjo; Belmiro P.M. Duarte; Nuno M.C. Oliveira. "Integrated production of biodiesel in a soybean biorefinery: Modeling, simulation and economical assessment". Energy 129 (2017): 273-291. https://doi.org/10.1016%2Fj.energy.2017.03.167.
    10.1016/j.energy.2017.03.167
  41. Belmiro P. M. Duarte; Weng Kee Wong; Holger Dette. "Adaptive grid semidefinite programming for finding optimal designs". Statistics and Computing 28 2 (2017): 441-460. https://doi.org/10.1007%2Fs11222-017-9741-y.
    10.1007/s11222-017-9741-y
  42. Moura, M.J.; Martins, S.P.; Duarte, B.P.M.. "Production of chitosan microparticles cross-linked with genipin - Identification of factors influencing size and shape properties". Biochemical Engineering Journal 104 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-84928914634&partnerID=MN8TOARS.
    10.1016/j.bej.2015.04.017
  43. Granjo, J.F.O.; Duarte, B.P.M.; Oliveira, N.M.C.. "Total Site integration of a soybean biorefinery using systematic optimization techniques". Chemical Engineering Transactions 61 (2017): 1861-1866. http://www.scopus.com/inward/record.url?eid=2-s2.0-85030780143&partnerID=MN8TOARS.
    10.3303/CET1761308
  44. Duarte, B.P.M.; Oliveira, N.M.C.; Santos, L.O.. "Dynamics of quality improvement programs - Optimal investment policies". Computers and Industrial Engineering 91 (2016): 215-228. http://www.scopus.com/inward/record.url?eid=2-s2.0-84949599663&partnerID=MN8TOARS.
    10.1016/j.cie.2015.11.020
  45. Duarte, B.P.M.; Wong, W.K.; Oliveira, N.M.C.. "Model-based optimal design of experiments -Semidefinite and nonlinear programming formulations". Chemometrics and Intelligent Laboratory Systems 151 (2016): 153-163. http://www.scopus.com/inward/record.url?eid=2-s2.0-84954305646&partnerID=MN8TOARS.
    10.1016/j.chemolab.2015.12.014
  46. B. Oliver-Rodríguez; A. Zafra-Gómez; M.S. Reis; B.P.M. Duarte; C. Verge; J.A. de Ferrer; M. Pérez-Pascual; J.L. Vílchez. "Evaluation of Linear Alkylbenzene Sulfonate (LAS) behaviour in agricultural soil through laboratory continuous studies". Chemosphere 131 (2015): 1-8. https://doi.org/10.1016%2Fj.chemosphere.2015.02.037.
    10.1016/j.chemosphere.2015.02.037
  47. Duarte, B.P.M.; Wong, W.K.. "Finding Bayesian Optimal Designs for Nonlinear Models: A Semidefinite Programming-Based Approach". International Statistical Review 83 2 (2015): 239-262. http://www.scopus.com/inward/record.url?eid=2-s2.0-84938200226&partnerID=MN8TOARS.
    10.1111/insr.12073
  48. Duarte, B.P.M.; Wong, W.K.; Atkinson, A.C.. "A Semi-Infinite programming based algorithm for determining T-optimum designs for model discrimination". Journal of Multivariate Analysis 135 (2015): 11-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-84919905242&partnerID=MN8TOARS.
    10.1016/j.jmva.2014.11.006
  49. Granjo, J.; Duarte, B.; Oliveira, N.. "Soybean biorefinery: Process simulation and analysis". Chemical Engineering Transactions 45 (2015): 583-588. http://www.scopus.com/inward/record.url?eid=2-s2.0-84946136469&partnerID=MN8TOARS.
    10.3303/CET1545098
  50. Oliver-Rodríguez, B.; Zafra-Gómez, A.; Reis, M.S.; Duarte, B.P.M.; Verge, C.; de Ferrer, J.A.; Pérez-Pascual, M.; Vílchez, J.L.. "Wide-range and accurate modeling of linear alkylbenzene sulfonate (LAS) adsorption/desorption on agricultural soil". Chemosphere 138 (2015): 148-155. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940906014&partnerID=MN8TOARS.
    10.1016/j.chemosphere.2015.05.085
  51. Duarte, B.P.M.; Wong, W.K.. "A semi-infinite programming based algorithm for finding minimax optimal designs for nonlinear models". Statistics and Computing 24 6 (2014): 1063-1080. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940529259&partnerID=MN8TOARS.
    10.1007/s11222-013-9420-6
  52. Duarte, B.P.M.; Tsoukalas, A.. "Solving quality control problems with an algorithm for minimax programs with coupled constraints". Computers and Operations Research 41 1 (2014): 223-230. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885950590&partnerID=MN8TOARS.
    10.1016/j.cor.2013.07.009
  53. Duarte, B.P.M.; Saraiva, P.M.. "Optimal design of acceptance sampling plans by variables for nonconforming proportions when the standard deviation is unknown". Communications in Statistics: Simulation and Computation 42 6 (2013): 1318-1342. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876141461&partnerID=MN8TOARS.
    10.1080/03610918.2012.665548
  54. Duarte, B.P.M.; Saraiva, P.M.. "An optimization-based framework for designing acceptance sampling plans by variables for non-conforming proportions". International Journal of Quality and Reliability Management 27 7 (2010): 794-814. http://www.scopus.com/inward/record.url?eid=2-s2.0-77956064750&partnerID=MN8TOARS.
    10.1108/02656711011062390
  55. Duarte, B.P.M.; Santos, L.O.; Mariano, J.S.. "Optimal sizing, scheduling and shift policy of the grinding section of a ceramic tile plant". Computers and Operations Research 36 6 (2009): 1825-1834. http://www.scopus.com/inward/record.url?eid=2-s2.0-56549101546&partnerID=MN8TOARS.
    10.1016/j.cor.2008.05.007
  56. Duarte, B.P.M.; Saraiva, P.M.. "An optimization-based approach for designing attribute acceptance sampling plans". International Journal of Quality and Reliability Management 25 8 (2008): 824-841. http://www.scopus.com/inward/record.url?eid=2-s2.0-51749113344&partnerID=MN8TOARS.
    10.1108/02656710810898630
  57. Duarte, B.P.M.; Baptista, C.M.S.G.. "Moving finite elements method applied to dynamic population balance equations". AIChE Journal 54 3 (2008): 673-692. http://www.scopus.com/inward/record.url?eid=2-s2.0-42149087668&partnerID=MN8TOARS.
    10.1002/aic.11384
  58. Duarte, B.P.M.; Reis, A.. "Developing a projects evaluation system based on multiple attribute value theory". Computers and Operations Research 33 5 (2006): 1488-1504. http://www.scopus.com/inward/record.url?eid=2-s2.0-26444479147&partnerID=MN8TOARS.
    10.1016/j.cor.2004.11.003
  59. Belmiro Duarte; P. M. Saraiva; C. C. Pantelides. "Combined Mechanistic and Empirical Modelling". International Journal of Chemical Reactor Engineering 2 1 (2004): https://doi.org/10.2202%2F1542-6580.1128.
    10.2202/1542-6580.1128
  60. Paiva, R.P.; Dourado, A.; Duarte, B.. "Quality prediction in pulp bleaching: Application of a neuro-fuzzy system". Control Engineering Practice 12 5 (2004): 587-594. http://www.scopus.com/inward/record.url?eid=2-s2.0-1642366693&partnerID=MN8TOARS.
    10.1016/s0967-0661(03)00145-x
  61. Zempléni, A.; Véber, M.; Duarte, B.; Saraiva, P.. "Control charts: A cost-optimization approach for processes with random shifts". Applied Stochastic Models in Business and Industry 20 3 (2004): 185-200. http://www.scopus.com/inward/record.url?eid=2-s2.0-4344715534&partnerID=MN8TOARS.
    10.1002/asmb.521
  62. Duarte, Belmiro. "Hybrid Models Combining Mechanistic Models with Adaptive Regression Splines and Local Stepwise Regression". Industrial & Engineering Chemistry Research (2003): http://dx.doi.org/10.1021/ie0107744.
    10.1021/ie0107744
  63. Saraiva, P.M.; Duarte, B.. "ISO 9000: Some statistical results for a worldwide phenomenon". Total Quality Management and Business Excellence 14 10 (2003): 1169-1178. http://www.scopus.com/inward/record.url?eid=2-s2.0-0142215363&partnerID=MN8TOARS.
    10.1080/1478336032000107726
  64. Duarte, B.P.M.; Saraiva, P.M.. "Multivariate statistical process control applied to chip size distribution". Appita Journal 54 3 (2001): 261-264. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035330892&partnerID=MN8TOARS.
  65. Duarte, B.P.M.. "The expected utility theory applied to an industrial decision problem - what technological alternative to implement to treat industrial solid residuals". Computers and Operations Research 28 4 (2001): 357-380. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034518438&partnerID=MN8TOARS.
    10.1016/S0305-0548(99)00122-7
  66. Duarte, B.P.M.; Portugal, A.A.T.G.. "Moving finite elements method applied to the solution of front reaction models: causticizing reaction". Computers and Chemical Engineering 19 SUPPL. 1 (1995): 421-426. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029215615&partnerID=MN8TOARS.
    10.1016/0098-1354(95)87073-3
Thesis / Dissertation
  1. "Proposta de Implementação de ferramentas de melhoria contínua numa empresa da área metalomecânica". Master, Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, 2023. http://hdl.handle.net/10400.26/44754.
  2. "Emulsões aquosas de derivados de colofónia – Produção e caracterização". Master, Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, 2023. http://hdl.handle.net/10400.26/44148.
  3. "Optimização dos processos de gestão de stocks de produtos acabados da Fábrica de Pastelaria e Confeitaria São Silvestre, Lda.". Master, Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, 2019. https://comum.rcaap.pt/handle/10400.26/40331.
  4. "Gestão e melhoria contínua do Sistema de Gestão da Qualidade da empresa municipal Águas de Coimbra". Master, Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, 2019. https://comum.rcaap.pt/bitstream/10400.26/36458/2/Carina-Raquel-Ferrao-Bogalho.pdf.
  5. Gomes, Fernando Manuel Tavares. "Aumento de produtividade na área de impregnação de papel na unidade fabril da Sonae Arauco, Portugal – Oliveira do Hospital". Master, Instituto Politécnico de Coimbra Instituto Superior de Engenharia de Coimbra, 2019. http://hdl.handle.net/10400.26/29600.
  6. Rebola, Ana Cristina Agante. "Determinação do teor do ácido desidroabiético em colofónias e seus derivados : relação entre o teor do ácido desidroabiético e as propriedades reológicas dos produtos". Master, 2015. http://hdl.handle.net/10400.26/15313.
  7. Martins, Salomé Portelas. "Preparação e caracterização de micro/nanopartículas de quitosano para libertação de cisplatina". Master, 2013. http://hdl.handle.net/10400.26/14108.
  8. Duarte, Belmiro P.M.. "A utilização da teoria da utilidade esperada em ambientes de decisão industrial". Master, 1998.
  9. Duarte, Belmiro P.M.. "Método dos elementos finitos móveis aplicado à resolução de modelos de frente de reacção". PhD, 1995.
  10. Duarte, Belmiro Pereira Mota. "Projecto e scheduling de instalações descontínuas. (Discussão de um Estudo). Métodos dos elementos finitos móveis aplicado à resolução de modelos de frente de reacção. (Discussão da Dissertação)". PhD, 1995. http://hdl.handle.net/10316/2062.
  11. "Projecto e scheduling de instalações descontínuas. (Discussão de um Estudo). Métodos dos elementos finitos móveis aplicado à resolução de modelos de frente de reacção. (Discussão da Dissertação)". 1995. https://www.authenticus.pt/P-011-VKD.

Other

Other output
  1. Model robust designs for dose-response models. 2025. Belmiro Duarte; Anthony Atkinson; Nuno Oliveira. https://doi.org/10.1093/biomtc/ujaf112.
    10.1093/biomtc/ujaf112
  2. Identifiability of the glyceride transesterification kinetics via alkaline catalysis. 2017. José F.O. Granjo; Belmiro P.M. Duarte; Nuno M.C. Oliveira; Granjo, J.F.O.; Duarte, B.P.M.; Oliveira, N.M.C.. https://doi.org/10.1016%2Fb978-0-444-63965-3.50050-7.
    10.1016/b978-0-444-63965-3.50050-7
  3. Equation-based Rigorous Modelling of the NOx Absorption Process: Model Development and Process Optimization. 2016. Inês L.S.B. Vilarinho; Nuno M.C. Oliveira; Belmiro P.M. Duarte; Susana E.F.M. Pereira; Vilarinho, I.L.S.B.; Oliveira, N.M.C.; Duarte, B.P.M.; Pereira, S.E.F.M.. https://doi.org/10.1016%2Fb978-0-444-63428-3.50251-4.
    10.1016/b978-0-444-63428-3.50251-4
  4. Benchmarking water utilities in Portugal: A Monte-Carlo data envelopment analysis. Apresentado no ISCSP. 2014. Rodrigues, Pedro G.; Duarte, Belmiro P.M.; Sousa, Joaquim; Rodrigues, André. https://youtu.be/XAEi_dtod3s?t=1.
  5. Reconfiguration of an Oilseed Processing Plant into a Whole-crop Biorefinery. 2014. José F.O. Granjo; Belmiro P.D. Duarte; Nuno M.C. Oliveira; Granjo, J.F.O.; Duarte, B.P.D.; Oliveira, N.M.C.. https://doi.org/10.1016%2Fb978-0-444-63455-9.50105-7.
    10.1016/b978-0-444-63455-9.50105-7
  6. Validating the equilibrium stage model for an azeotropic system in a laboratorial distillation column. 2006. Duarte, B.P.M.; Coelho Pinheiro, M.N.; Da Silva, D.C.M.; Moura, M.J.. http://www.scopus.com/inward/record.url?eid=2-s2.0-33748059569&partnerID=MN8TOARS.
Distinctions

Other distinction

2017 Outstanding reviewer