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Estimadores Bayesianos de distribuciones Weibull aplicados a un modelo de líneas de espera G/G/s || Bayesian estimators of Weibull distributions applied to a model of waiting lines G/G/s

Author

Listed:
  • Vargas-Sánchez, Jhon Jairo

    (Facultad de Ingeniería, Ingeniería Industrial, Universidad del Magdalena, Santa Marta (Colombia))

  • Causado, Edwin

    (Facultad de Ingeniería, Ingeniería Industrial, Universidad del Magdalena, Santa Marta (Colombia))

  • Mercado, Hugo

    (Facultad de Ingeniería, Ingeniería Industrial, Universidad del Magdalena, Santa Marta (Colombia))

Abstract

Se ha estudiado en la literatura la aproximación de los modelos G/G/s a partir de modelos markovianos M/M/s. Un estudio de un modelo de colas se presenta en el presente artículo usando tiempos de llegadas y servicios Weibull distribuidos cuya estimación de parámetros se realizó con el método Bayesiano cadena de Markov Monte Carlo, específicamente el muestreador de Gibbs. La aproximación de este modelo de líneas de espera es evaluada mediante simulación. Esta metodología se aplicó al caso de repartición de refrigerios en la Universidad del Magdalena en Santa Marta, Colombia. Los resultados muestran la utilidad y potencia para calcular indicadores de un sistema de colas cuando los tiempos entre llegadas y de atención se distribuyen como una Weibull.

Suggested Citation

  • Vargas-Sánchez, Jhon Jairo & Causado, Edwin & Mercado, Hugo, 2020. "Estimadores Bayesianos de distribuciones Weibull aplicados a un modelo de líneas de espera G/G/s || Bayesian estimators of Weibull distributions applied to a model of waiting lines G/G/s," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 30(1), pages 142-162, December.
  • Handle: RePEc:pab:rmcpee:v:30:y:2020:i:1:p:142-162
    DOI: 10.46661/revmetodoscuanteconempresa.2971
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    More about this item

    Keywords

    sistemas de colas; cadenas de Markov Monte Carlo; distribución Weibull; estimación bayesiana;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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