Papers by Hugo Cruz-Suárez
arXiv (Cornell University), May 20, 2024
In this manuscript, we delve into the exploration of the first and second Zagreb connection indic... more In this manuscript, we delve into the exploration of the first and second Zagreb connection indices of both polyomino chains and random polyomino chains. Our methodology relies on the utilization of Markov chain theory. Within this framework, the article thoroughly examines precise formulas and investigates extreme values. Leveraging the derived formulas, we further explore and elucidate the longterm behavior exhibited by random polyomino chains.
Characterization of a Cournot–Nash Equilibrium for a Fishery Model with Fuzzy Utilities
Journal of mathematics, Feb 20, 2024
$ (s, S) $ Inventory policies for stochastic controlled system of Lindley-type with lost-sales
AIMS Mathematics
This paper presents a characterization of $ (s, S) $-inventory policies for Lindley systems with ... more This paper presents a characterization of $ (s, S) $-inventory policies for Lindley systems with possibly unbounded costs, where the objective is to minimize the expected discounted total cost by ordering (production) strategies. Moreover, the existence of a subsequence of minimizers of the value iteration functions that converge to a $ (s, S) $ optimal inventory system policy is shown. A numerical example is given to illustrate the theory.
El Sistema De Inventarios. Una Aplicación De Los Procesos De Decisión De Markov
VI Encuentro sobre Didáctica de la Estadística, la Probabilidad y el Análisis de Datos, Oct 24, 2018
An Elephant Random Walk based strategy for improving learning
International Journal of Statistics and Probability, 2021
In this work, an analysis of change points is made with the Bayes factor, thresholds, and cumulat... more In this work, an analysis of change points is made with the Bayes factor, thresholds, and cumulative sum (CUSUM) statistics methods. For the analysis of change points with the Bayes factor, Poisson data were simulated; the threshold method was worked with a regression and data of the National Institute of Statistics, Geography and Informatics (INEGI) of Mexico and coronavirus were used for the CUSUM.
Journal of Mathematics Research, 2018
This paper provides necessary conditions in order to guarantee the existence of an unique equilib... more This paper provides necessary conditions in order to guarantee the existence of an unique equilibrium point in a deterministic control system. Furthermore, under additional conditions, it is proved the convergence of the optimal control sequence to this equilibrium point. The methodology to obtain these statements is based on the Euler's equation approach. A consumption-investment problem is presented with the objective to illustrate the results exposed.
Journal of Probability and Statistics, 2019
In this paper, comparison results of parametric methodologies of change points, applied to maximu... more In this paper, comparison results of parametric methodologies of change points, applied to maximum temperature records from the municipality of Tlaxco, Tlaxcala, México, are presented. Methodologies considered are likelihood ratio test, score test, and binary segmentation (BS), pruned exact linear time (PELT), and segment neighborhood (SN). In order to compare such methodologies, a quality analysis of the data was performed; in addition, lost data were estimated with linear regression, and finally, SARIMA models were adjusted.
Análisis y modelado de la cultura de seguridad de un hospital mexicano mediante cadenas de Markov
Revista de Calidad Asistencial, 2016
The objective of this study was to analyse and model the safety culture with Markov chains, as we... more The objective of this study was to analyse and model the safety culture with Markov chains, as well as predicting and/or prioritizing over time the evolutionary behaviour of the safety culture of the health's staff in one Mexican hospital. The Markov chain theory has been employed in the analysis, and the input data has been obtained from a previous study based on the Safety Attitude Questionnaire (CAS-MX-II), by considering the following 6 dimensions: safety climate, teamwork, job satisfaction, recognition of stress, perception of management, and work environment. The results highlighted the predictions and/or prioritisation of the approximate time for the possible integration into the evolutionary behaviour of the safety culture as regards the "slightly agree" (Likert scale) for: safety climate (in 12 years; 24.13%); teamwork (8 years; 34.61%); job satisfaction (11 years; 52.41%); recognition of the level of stress (8 years; 19.35%); and perception of the direction (22 years; 27.87%). The work environment dimension was unable to determine the behaviour of staff information, i.e. no information cultural roots were obtained. In general, it has been shown that there are weaknesses in the safety culture of the hospital, which is an opportunity to suggest changes to the mandatory policies in order to strengthen it.
Proyecciones (Antofagasta), 2012
This paper considers a system consisting of independently operating n-machines, which follows a d... more This paper considers a system consisting of independently operating n-machines, which follows a deterioration processes with an associated cost function. It is assumed that the system is observed at discrete time and the objective function is the total expected cost. Also, it is considered that the horizon of the problem is random. For this problem, a replacement optimal policy that minimize the operation cost of the system is provided. Besides, a numerical example through a program in Matlab is presented.
On upper bounds for total k-domination number via the probabilistic method
Kybernetika
Main Group Metal Chemistry
In this study, we characterize the structure and some topological indices of a class of random sp... more In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner.
On Bond Incident Degree Indices of Random Spiro Chains
Polycyclic Aromatic Compounds
arXiv (Cornell University), May 26, 2022
Let G = (V (G), E(G)) denote a graph, many important topological indices can be defined as T I(G)... more Let G = (V (G), E(G)) denote a graph, many important topological indices can be defined as T I(G) = v∈V (G) h(d v) a , or T I(G) = vu∈E(G) f (d v , d u) a. In this paper, we study these kinds of topological indices in random spiro chains via a martingale approach. In which their explicit analytical expressions of the exact distribution, expected value and variance are obtained. As n goes to ∞, the asymptotic normality of topological indices of a random spiro chain is established through the Martingale Central Limit Theorem. In particular, we compute the Nirmala, Sombor, Randić and Zagreb index for a random spiro chain along with their comparative analysis.
On degree–based topological indices of random polyomino chains
Mathematical Biosciences and Engineering
In this article, we study the degree-based topological indices in a random polyomino chain. The k... more In this article, we study the degree-based topological indices in a random polyomino chain. The key purpose of this manuscript is to obtain the asymptotic distribution, expected value and variance for the degree-based topological indices in a random polyomino chain by using a martingale approach. Consequently, we compute the degree-based topological indices in a polyomino chain, hence some known results from the existing literature about polyomino chains are obtained as corollaries. Also, in order to apply the results, we obtain the expected value of several degree-based topological indices such as Sombor, Forgotten, Zagreb, atom-bond-connectivity, Randić and geometric-arithmetic index of a random polyomino chain.
arXiv (Cornell University), Apr 22, 2022
In this paper, we characterize the structure and topological indices of a class of random spider ... more In this paper, we characterize the structure and topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner. keywords:Random trees, Spider trees, Gini index, Hoover index, Zagreb index, Topological indices.
arXiv (Cornell University), May 12, 2022
Let G = (V (G), E(G)) a graph, many important topological indices can be defined as T I(G) = vu∈E... more Let G = (V (G), E(G)) a graph, many important topological indices can be defined as T I(G) = vu∈E(G) h(d v , d u). In this paper, we look at one type of general random chains and an alternative approach to study these kinds of topological indices is proposed. In which their explicit analytical expressions of the expected values and variances are obtained. Moreover, the asymptotic normality of topological indices of a random chain is established through the Martingale Central Limit Theorem.
Proceedings of the 10th International Conference on Operations Research and Enterprise Systems, 2021
This paper concerns discounted Markov decision processes with a fuzzy reward function triangular ... more This paper concerns discounted Markov decision processes with a fuzzy reward function triangular in shape. Starting with a usual and non-fuzzy Markov control model (Hernández-Lerma, 1989) with compact action sets and reward R, a control model is induced only substituting R in the usual model for a suitable triangular fuzzy functionR which models, in a fuzzy sense, the fact that the reward R is "approximately" received. This way, for this induced model a discounted optimal control problem is considered, taking into account both a finite and an infinite horizons, and fuzzy objective functions. In order to obtain the optimal solution, the partial order on the α-cuts of fuzzy numbers is used, and the optimal solution for fuzzy Markov decision processes is found from the optimal solution of the corresponding usual Markov decision processes. In the end of the paper, several examples are given to illustrate the theory developed: a model of inventory system, and two others more in an economic and financial context.
Estimation of stability for some classes of stochastic systems
Uploads
Papers by Hugo Cruz-Suárez