 A stochastic model related to the Richards-type growth curve. Estimation by means of simulated annealing and variable neighborhood searchP. Román-Román and F. Torres-Ruiz Applied Mathematics and Computation, 2015, vol. 266, issue C, 579-598 Abstract: A stochastic diffusion model related to a reformulation of the Richards growth curve is proposed. The main characteristics of the process are studied, and the problem of maximum likelihood estimation for the parameters of the process is considered. Since a complex system of equations appears whose solution cannot be guaranteed via the classic numerical procedures, we suggest the use of metaheuristic optimization algorithms such as simulated annealing and variable neighborhood search. Given that the space of solutions is continuous and unbounded, some strategies are suggested for bounding it, and a description is provided for the application of the selected algorithms. In the case of the variable neighborhood search algorithm, a hybrid method is proposed in which it is combined with simulated annealing. Some examples based on simulated sample paths are developed in order to test the validity of the bounding method for the space of solutions, and a comparison is made between the application of both methods. Keywords: Diffusion processes; Richards curve; Simulated annealing; Variable neighborhood search (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:579-598 DOI: 10.1016/j.amc.2015.05.096 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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