dor_id: 4129315

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336.#.#.3: Artículo de Investigación

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351.#.#.b: Journal of Applied Research and Technology

351.#.#.a: Artículos

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856.4.0.u: https://jart.icat.unam.mx/index.php/jart/article/view/1041/869

100.1.#.a: Atwa, Rasha; El Wahab, Rasha Abd; Barakat, Ola

524.#.#.a: Atwa, Rasha, et al. (2021). Discrete Time Multi-servers Loss Systems and Stochastic Approximation with Delayed Groups of Customers. Journal of Applied Research and Technology; Vol. 19 Núm. 6, 2021; 575-583. Recuperado de https://repositorio.unam.mx/contenidos/4129315

245.1.0.a: Discrete Time Multi-servers Loss Systems and Stochastic Approximation with Delayed Groups of Customers

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Instituto de Ciencias Aplicadas y Tecnología, UNAM

264.#.0.c: 2021

264.#.1.c: 2021-12-31

653.#.#.a: Analysis of results; customers; groups; efficiency; loss systems; modified procedure; service time; stochastic approximation

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-SA 4.0 Internacional, https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode.es, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico gabriel.ascanio@icat.unam.mx

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041.#.7.h: eng

520.3.#.a: The stochastic approximation procedure with delayed groups of delayed customers is investigated. The Robbins-Monro stochastic approximation procedure is adjusted to be usable in the presence of delayed groups of delayed customers. Two loss systems are introduced to get an accurate description of the proposed procedure. Each customer comes after fixed time-intervals with the stage of the following customer is accurate according to the outcome of the preceding one, where the serving time of a customer is assumed to be discrete random variable. Some applications of the procedure are given where the analysis of their results is obtained. The analysis shows that efficiencies of the procedure can be increased by minimizing the number of customers of a group irrespective of their service times that may take maximum values. Efficiencies depend on the maximum service time of the customer and on the number of customers of the group. The most important result is that efficiencies of the procedure are increased by increasing the service time distributions as well as service times of customers .This new situation can be applied to increase the number of served customers where the number of served groups will also be increased. The results obtained seem to be acceptable. In general, our proposal can be utilized to other stochastic approximation procedures to increase the production in many fields such as medicine, computer sciences, industry, and applied sciences.

773.1.#.t: Journal of Applied Research and Technology; Vol. 19 Núm. 6 (2021); 575-583

773.1.#.o: https://jart.icat.unam.mx/index.php/jart

022.#.#.a: ISSN electrónico: 2448-6736; ISSN: 1665-6423

310.#.#.a: Bimestral

300.#.#.a: Páginas: 575-583

264.#.1.b: Instituto de Ciencias Aplicadas y Tecnología, UNAM

doi: https://doi.org/10.22201/icat.24486736e.2021.19.6.1041

harvesting_date: 2023-11-08 13:10:00.0

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Artículo

Discrete Time Multi-servers Loss Systems and Stochastic Approximation with Delayed Groups of Customers

Atwa, Rasha; El Wahab, Rasha Abd; Barakat, Ola

Instituto de Ciencias Aplicadas y Tecnología, UNAM, publicado en Journal of Applied Research and Technology, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Cita

Atwa, Rasha, et al. (2021). Discrete Time Multi-servers Loss Systems and Stochastic Approximation with Delayed Groups of Customers. Journal of Applied Research and Technology; Vol. 19 Núm. 6, 2021; 575-583. Recuperado de https://repositorio.unam.mx/contenidos/4129315

Descripción del recurso

Autor(es)
Atwa, Rasha; El Wahab, Rasha Abd; Barakat, Ola
Tipo
Artículo de Investigación
Área del conocimiento
Ingenierías
Título
Discrete Time Multi-servers Loss Systems and Stochastic Approximation with Delayed Groups of Customers
Fecha
2021-12-31
Resumen
The stochastic approximation procedure with delayed groups of delayed customers is investigated. The Robbins-Monro stochastic approximation procedure is adjusted to be usable in the presence of delayed groups of delayed customers. Two loss systems are introduced to get an accurate description of the proposed procedure. Each customer comes after fixed time-intervals with the stage of the following customer is accurate according to the outcome of the preceding one, where the serving time of a customer is assumed to be discrete random variable. Some applications of the procedure are given where the analysis of their results is obtained. The analysis shows that efficiencies of the procedure can be increased by minimizing the number of customers of a group irrespective of their service times that may take maximum values. Efficiencies depend on the maximum service time of the customer and on the number of customers of the group. The most important result is that efficiencies of the procedure are increased by increasing the service time distributions as well as service times of customers .This new situation can be applied to increase the number of served customers where the number of served groups will also be increased. The results obtained seem to be acceptable. In general, our proposal can be utilized to other stochastic approximation procedures to increase the production in many fields such as medicine, computer sciences, industry, and applied sciences.
Tema
Analysis of results; customers; groups; efficiency; loss systems; modified procedure; service time; stochastic approximation
Idioma
eng
ISSN
ISSN electrónico: 2448-6736; ISSN: 1665-6423

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