Evidence map›Paper›PMID 36254121›Full record

ArticleApplied mathematics and optimization2022

Control in Probability for SDE Models of Growth Population.

Pedro Pérez-Aros, Cristóbal Quiñinao, Mauricio Tejo

Abstract read
In one paragraph

Article in Applied mathematics and optimization, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Pedro Pérez-ArosInstituto de Ciencias de la Ingeniería, Universidad de O'Higgins, Avenida Libertador Bernardo O'Higgins, 611, 2820000 Rancagua, Chile.ORCID 0000-0002-8756-3011
Cristóbal QuiñinaoInstituto de Ciencias de la Ingeniería, Universidad de O'Higgins, Avenida Libertador Bernardo O'Higgins, 611, 2820000 Rancagua, Chile.
Mauricio TejoInstituto de Estadística, Universidad de Valparaíso, Avenida Gran Bretaña, 1111, 2340000 Valparaíso, Chile.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this paper, we consider a (control) optimization problem, which involves a stochastic dynamic. The model proposes selecting the best control function that keeps bounded a stochastic process over an interval of time with a high probability level. Here, the stochastic process is governed by a stochastic differential equation affected by a stochastic process. This setting becomes a chance-constrained control optimization problem, where the constraint is given by the probability level of infinitely many random inequalities. Since such a model is challenging, we discretize the dynamic and restrict the space of control functions to piecewise mappings. On the one hand, it transforms the infinite-dimensional optimization problem into a finite-dimensional one. On the other hand, it allows us to provide the well-posedness of the problem and approximation. Finally, the results are illustrated with numerical results, where classical model for the growth of a population are considered.

Indexed as

Chance constrained optimizationControl in ProbabilityGrowth population models

Identifiers

PMID36254121
PMCPMC9558074

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.