Academic Journal
Efficient algorithms for constructing D- and I-optimal exact designs for linear and non-linear models in mixture experiments
| Τίτλος: | Efficient algorithms for constructing D- and I-optimal exact designs for linear and non-linear models in mixture experiments |
|---|---|
| Συγγραφείς: | Martín, Raúl, García-Camacha, Irene, Torsney, Bernard |
| Πηγή: | RUIdeRA: Repositorio Institucional de la UCLM Universidad de Castilla-La Mancha Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona RUIdeRA. Repositorio Institucional de la UCLM instname UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) SORT-Statistics and Operations Research Transactions; 2019: Vol.: 43 Núm.: 1 January-June; p. 163-190 oai:raco.cat:article/356187 Repositori Institucional de la Universitat Rovira i Virgili |
| Στοιχεία εκδότη: | Idescat, 2019. |
| Έτος έκδοσης: | 2019 |
| Θεματικοί όροι: | mixture experiments, D-optimality, Multiplicative algorithm, Mixture experiments, I-optimality, exact designs, Classificació AMS::62 Statistics::62K Design of experiments, Exact designs, 62 Statistics::62K Design of experiments [Classificació AMS], Genetic algorithm, multiplicative algorithm, Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica, Matemàtiques i estadística::Estadística matemàtica [Àrees temàtiques de la UPC], Optimal experimental design, genetic algorithm, 62-K05, Optimal experimental design, D-optimality, I-optimality, mixture experiments, multiplicative algorithm, genetic algorithm, exact designs |
| Περιγραφή: | The problem of finding optimal exact designs is more challenging than that of approximate optimal designs. In the present paper, we develop two efficient algorithms to numerically construct exact designs for mixture experiments. The first is a novel approach to the well-known multiplicative algorithm based on sets of permutation points, while the second uses genetic algorithms. Using (i) linear and non-linear models, (ii) D/- and I-optimality criteria, and (iii) constraints on the ingredients, both approaches are explored through several practical problems arising in the chemical, pharmaceutical and oil industry. |
| Τύπος εγγράφου: | Article Other literature type |
| Περιγραφή αρχείου: | application/pdf |
| DOI: | 10.2436/20.8080.02.84 |
| Σύνδεσμος πρόσβασης: | http://hdl.handle.net/10578/25158 https://ddd.uab.cat/record/205825 https://hdl.handle.net/2117/178518 http://hdl.handle.net/2117/178518 http://hdl.handle.net/20.500.11797/RP3413 https://hdl.handle.net/20.500.11797/RP3413 https://dialnet.unirioja.es/servlet/articulo?codigo=7013165 https://upcommons.upc.edu/handle/2117/178518 https://ruidera.uclm.es/xmlui/handle/10578/25158 https://www.raco.cat/index.php/SORT/article/view/356187 |
| Rights: | CC BY NC ND |
| Αριθμός Καταχώρησης: | edsair.dedup.wf.002..a8423b4201554a358db8cbb91cae1ec1 |
| Βάση Δεδομένων: | OpenAIRE |
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