Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19
El rendimiento operativo ha sido ampliamente estudiado en la literatura como herramienta para la administración y toma de decisiones en los supermercados. A través de la teoría de colas es posible calcular de manera cuantitativa las medidas de rendimiento operativo en estos establecimientos, con el...
- Autores:
-
Calderón Ochoa, Andrés Felipe
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/9640
- Acceso en línea:
- https://hdl.handle.net/11323/9640
https://repositorio.cuc.edu.co/
- Palabra clave:
- Rendimiento operativo
Teoría de colas
Supermercados
Amazon-Go
Throughput
Operational performance
Supermarket
COVID-19
Queueing theory
- Rights
- openAccess
- License
- Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)
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Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| title |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| spellingShingle |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 Rendimiento operativo Teoría de colas Supermercados Amazon-Go Throughput Operational performance Supermarket COVID-19 Queueing theory |
| title_short |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| title_full |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| title_fullStr |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| title_full_unstemmed |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| title_sort |
Análisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19 |
| dc.creator.fl_str_mv |
Calderón Ochoa, Andrés Felipe |
| dc.contributor.advisor.none.fl_str_mv |
Coronado-Hernandez, Jairo R. Pornoy De la ossa, Iván Dario |
| dc.contributor.author.none.fl_str_mv |
Calderón Ochoa, Andrés Felipe |
| dc.contributor.jury.none.fl_str_mv |
Salas Navarro, Katherinne Cárdenas Escorcia, Yulineth |
| dc.subject.proposal.spa.fl_str_mv |
Rendimiento operativo Teoría de colas Supermercados |
| topic |
Rendimiento operativo Teoría de colas Supermercados Amazon-Go Throughput Operational performance Supermarket COVID-19 Queueing theory |
| dc.subject.proposal.eng.fl_str_mv |
Amazon-Go Throughput Operational performance Supermarket |
| dc.subject.proposal.zho.fl_str_mv |
COVID-19 |
| dc.subject.proposal.fra.fl_str_mv |
Queueing theory |
| description |
El rendimiento operativo ha sido ampliamente estudiado en la literatura como herramienta para la administración y toma de decisiones en los supermercados. A través de la teoría de colas es posible calcular de manera cuantitativa las medidas de rendimiento operativo en estos establecimientos, con el objeto de tomar decisiones que incidan sobre la eficiencia operacional. A partir del año 2020, con el desafío global debido a la aparición de la pandemia del COVID-19 en los establecimientos comerciales de todo el mundo, incluidos los supermercados, estos se vieron forzados a ajustar la dinámica de su operación y a tomar medidas orientadas a minimizar el riesgo de infección por parte de los clientes, ajustándose a las políticas gubernamentales y de salud pública. Entre una de las medidas adoptadas se encuentra el ajuste del tamaño de aforo máximo permisible en el establecimiento, limitando así el número máximo de clientes que pueden permanecer en estos establecimientos, generando como consecuencia una reducción en sus ventas. Este trabajo presenta el modelamiento de los diferentes sistemas de colas presentes en dos tipos de supermercados: Amazon Go y un supermercado de tipo tradicional, para escenarios con y sin restricciones de aforo por COVID-19. Seguidamente el análisis comparativo de tres indicadores de rendimiento operativo: la Tasa de producción (Throughput), el tiempo de ciclo (Cicle Time) y el Trabajo en Proceso (Work In Process), a través de la implementación de algoritmos programados en el software R y el uso de redes de Jackson. Los resultados de la investigación exhiben los sistemas de colas que presentan mejor desempeño operativo bajo condición de restricción de aforo por COVID19 como sin este, así como las consideraciones especiales que manifiestan estos sistemas. |
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2022 |
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2022-11-28T13:19:12Z |
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2022-11-28T13:19:12Z |
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2022 |
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Trabajo de grado - Maestría |
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Text |
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info:eu-repo/semantics/masterThesis |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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Al-Kadhimi, A. M., Abdulkadhim, M., & Ali, S. A. M. (2021). Queueing model analysis of shopping malls in COVID-19 pandemic era: a case study. International Journal of Advanced Technology and Engineering Exploration, 8(85), 1545–1556. https://doi.org/10.19101/IJATEE.2021.874672 Artalejo, J., & Falin, G. (2002). Standard and retrial queueing systems: a comparativeanalysis. Revista Matemática Complutense, 15(1), 101–129. https://doi.org/10.5209/rev_rema.2002.v15.n1.16950 Beckers, J., Weekx, S., Beutels, P., & Verhetsel, A. (2021). COVID-19 and retail: The catalyst for e-commerce in Belgium? Journal of Retailing and Consumer Services,62(January), 102645. https://doi.org/10.1016/j.jretconser.2021.102645 Bello, R.-W., & Otobo, F. N. (2018). Hypothetical Modeling of a Supermarket Queue-An Approach. International Journals of Advanced Research in Computer Science and Software Engineering, 8(7), 55–59. https://doi.org/https://doi.org/10.23956/ijarcsse.v8i7.815 Ben Hassen, T., El Bilali, H., & Allahyari, M. S. (2020). Impact of covid-19 on foodbehavior and consumption in qatar. Sustainability (Switzerland), 12(17), 1–18. https://doi.org/10.3390/su12176973 Brandtner, P., Darbanian, F., Falatouri, T., & Udokwu, C. (2021). Impact of COVID-19 onthe customer end of retail supply chains: A big data analysis of consumer satisfaction. Sustainability (Switzerland), 13(3), 1–18. https://doi.org/10.3390/su13031464 Cai, M., Tindal, S., Tartanoglu Bennett, S., & Velu, J. (2021). ‘It’s Like a War Zone’: Jay’s Liminal Experience of Normal and Extreme Work in a UK Supermarket during the COVID-19 Pandemic. Work, Employment and Society, 35(2), 386–395. https://doi.org/10.1177/0950017020966527 Cañavate, G. (2020). Cómo calcular el aforo máximo por Covid19. In OTP Prevención (p.1). https://evaluacionpsicosocial.com/como-calcular-aforo-maximo-coronavirus/ CEPAL. (2009). La reacción de los gobiernos de América Latina y el Caribe frente a la crisis internacional. 1–34. Cambridge Dictionary. (2019). Significado de SECTOR RETAIL en el Diccionario Cambridge. Coronado-Hernandez, J. R., Calderón-Ochoa, A. F., Portnoy, I., & Morales-Mercado, J. (2021). Comparison Between Amazon Go Stores and Traditional Retails Based on Queueing Theory. Communications in Computer and Information Science, 1431 CCIS, 347–361. https://doi.org/10.1007/978-3-030-86702-7_30 Coronado-Hernández, J. R., Macías-Jiménez, M. A., Chica-Llamas, J. D., & Zapata-Márquez, J. I. (2021). Assessment of Organizational Policies in a Retail Store Based on a Simulation Model. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics): Vol. 12883 LNCS. Springer International Publishing. https://doi.org/10.1007/978-3-030-84340-3_20 Dannenberg, P., Fuchs, M., Riedler, T., & Wiedemann, C. (2020). Digital Transition byCOVID19 Pandemic? The German Food Online Retail. Tijdschrift Voor Economische En Sociale Geografie, 111(3), 543–560. https://doi.org/10.1111/tesg.12453 Donoso, P., & Scheller-wolf, A. (2008). Una Introducción a La Teoría De Colas Aplicada aLa Gestión De Servicios. Abante, 11(2), 93–120. Edwan, T. A., Tahat, A., Hammouri, S., Hashem, L., & Da’boul, L. (2020). An intelligentand automated approach for smart minimarkets. International Journal of Computational Intelligence Systems, 13(1), 852–863. https://doi.org/10.2991/ijcis.d.200611.001 Esteban, J., & Garcia, M. (2021). COVID-19 effects on the Colombian economy , the retailsecto,r the consumer and its behaviour. January, 0–30. Figueroa-garcía, J. C., Villegas, J. G., Orozco-arroyave, J. R., Andres, P., & Duque, M. (2018). Applied Computer Sciences in Engineering. Food Marketing Institute. (2014). FMI | Supermarket Facts. In Fmi.https://www.fmi.org/ourresearch/supermarket-facts Goddard, E. (2020). The impact of COVID-19 on food retail and food service in Canada: Preliminary assessment. Canadian Journal of Agricultural Economics, 68(2), 157– 161. https://doi.org/10.1111/cjag.12243 Gross, R. (2019). How the Amazon Go Store’s AI Works | by Ryan Gross | Towards Data Science. In Towards data science. https://towardsdatascience.com/how-the-amazon-gostore-works-a-deep-dive-3fde9d9939e9 Hao, N., Wang, H. H., & Zhou, Q. (2020). The impact of online grocery shopping on stockpile behavior in Covid-19. China Agricultural Economic Review, 12(3), 459–470. https://doi.org/10.1108/CAER-04-2020-0064 Hepp, T., Marquart, P., Jauck, C., & Gefeller, O. (2021). Effects of the Covid-19 Restrictions on Supermarket Visits in Germany. Gesundheitswesen, 83(3), 166–172. https://doi.org/10.1055/a-1341-1575 Hillier, F. S., & Lieberman, G. J. (2015). Introduction to Operations Research. McGraw-Hill. https://books.google.com.co/books?id=LgXfmwEACAAJ Igwe, A., Onwuere, J. U. J., & Egbo, O. P. (2014). Efficient Queue Management in Supermarkets: A Case Study of Makurdi Town, Nigeria. European Journal ofBusiness nd Management, 6(39), 185–192. Ives, B., Cossick, K., & Adams, D. (2019). Amazon Go: Disrupting retail? Journal ofInformation Technology Teaching Cases, 9(1), 2–12. https://doi.org/10.1177/2043886918819092 Jackson, J. R. (1957). Networks of waiting lines. Operations Research, 5(4), 518–521.Jhala, N., & Bhathawala, P. (2017). Analysis and application of queuing theory in Supermarkets. International Journal of Innovative Research in Science, Engineeringand Technology, 6(9), 6. https://doi.org/10.15680/IJIRSET.2017.0609021 Jukka, H., Jukka, K., Timo, S., & Kristiina, T. V. (1998). Analysis of Expectations of Electronic Grocery Shopping for Potential Customer Segments. Australasian Journalof Information Systems, 6(1). https://doi.org/10.3127/ajis.v6i1.329 Koeswara, S., Kholil, M., Pratama, Z., & Hendri. (2018). Evaluation on Application of Queuing Theory on Payment System in the Supermarket “saga” Padang Pariaman West Sumatra. IOP Conference Series: Materials Science and Engineering, 453(1). https://doi.org/10.1088/1757-899X/453/1/012045 Kurkcu, A., & Ozbay, K. (2017). A Hierarchical Clustering Based Travel Time EstimationModel in a Connected Vehicle Environment. Journal of Traffic and Logistics Engineering, 5(2), 54–59. https://doi.org/10.18178/jtle.5.2.54-59 Ives, B., Cossick, K., & Adams, D. (2019). Amazon Go: Disrupting retail? Journal of Information Technology Teaching Cases, 9(1), 2–12. https://doi.org/10.1177/2043886918819092 Jackson, J. R. (1957). Networks of waiting lines. Operations Research, 5(4), 518–521. Kendall, D. G. (1953). Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain. The Annals of Mathematical Statistics, 24(3), 338–354. https://doi.org/10.1214/aoms/1177728975 Little, J. D. C., & Graves, S. C. (2008). Chapter 5 Little’s Law. Operations Management, 115(December), 81–100. https://doi.org/10.1007/978-0-387 Liu, Y., & Rabinowitz, A. N. (2021). The impact of the COVID-19 pandemic on retaildairy prices. Agribusiness, 37(1), 108–121. https://doi.org/10.1002/agr.21687 Lu, Y., Musalem, A., Olivares, M., & Schilkrut, A. (2013). Measuring the effect of queueson customer purchases. Management Science, 59(8), 1743–1763. https://doi.org/10.1287/mnsc.1120.1686 Luczak, M. J., & Mcdiarmid, C. (2006). On the maximum queue length in the supermarketmodel. Annals of Probability, 34(2), 493–527. https://doi.org/10.1214/00911790500000710 Ministerio de Salud y Protección, & Social. (2020). Resolución No. 385 de 2020 Ministerio de Salud y Protección Social. Ministerio de Salud y Proteccion Social, 5. https://www.minsalud.gov.co/Normatividad_Nuevo/Resolución No. 227 de 2020.pdf Mitzenmacher, M., & Dell’Amico, M. (2022). The Supermarket Model with Known and Predicted Service Times. IEEE Transactions on Parallel and Distributed Systems, 33(11), 2740–2751. https://doi.org/10.1109/TPDS.2022.3146195 Morabito, R., & De Lima, F. C. R. (2004). A markovian queueing model for the analysis ofuser waiting times in supermarket checkouts. International Journal of Operations and Quantitative Management, 10(2), 165–177. MSPS, M. de S. y P. S. de C. (2021). Resolución 777 de 2021 Ministerio de Salud yProtección Social. 1–31. Nielsen. (2015). 6 tendencias del retail en América Latina. Nielsen, 10. http://www.nielsen.com/content/dam/nielsenglobal/latam/docs/reports/2016/Report6TendenciasdelRetailenLatinoamerica.pdf OECD, M. (2020). COVID-19 and the retail sector : impact and policy responses. OECDReport, June, 1–7. Ouda. (2012). No Titleענף הקיווי :תמונת מצב .עלון הנוטע ,66, 37–39. Perlman, Y., & Yechiali, U. (2020). Reducing risk of infection – The COVID-19 queueinggame. Safety Science, 132(August), 104987. https://doi.org/10.1016/j.ssci.2020.104987 Polacco, A., & Backes, K. (2018). The amazon go concept: Implications, applications, and sustainability. Journal of Business and Management, 24(1), 79–92. Prasad, V., Vh, B., & Koka, T. A. (2015). Mathematical analysis of single queue multiserver and multi queue multi server queuing models: comparison study. Global Journal of Mathematical Analysis, 3(3), 97–104. Priyangika, J., & Cooray, T. (2015). Analysis of the sales checkout operation insupermarket using queuing theory. Seis tendencias del retail en Latinoamérica - The Food Tech. (n.d.). Ramirez, R. V. (2020). Industrial Uniforme económicas. Clasificación Industrial Internacional Uniforme, 2–693. Sethi, R., Sharma, R., & Bhagat, A. (2018). Markovian queue with multi stage service,finite capacity and breakdowns. 2017 2nd International Conference on System Reliability and Safety, ICSRS 2017, 2018-Janua, 125–129. https://doi.org/10.1109/ICSRS.2017.8272807 Shekokar, N., Kasat, A., Jain, S., Naringrekar, P., & Shah, M. (2020). Shop and go: An innovative approach towards shopping using deep learning and computer vision. Proceedings of the 3rd International Conference on Smart Systems and Inventive Technology, ICSSIT 2020, Icssit, 1201–1206. https://doi.org/10.1109/ICSSIT48917.2020.9214256 supermercado | Definición | Diccionario de la lengua española | RAE - ASALE. (n.d.). In 2020. https://dle.rae.es/supermercado Serrano, P., & Hernández, J. A. (2017). Una introducción amable a la Teoría de colas. 158. Taha, H. A. (2017). Operations research an introduction. {\copyright} Pearson Education Limited 2017. Taha, H. A., & others. (2004). INVESTIGACIÓN DE OPERACIONES 7a EDICIÓN. Pearson Educación. Vall Castelló, J., & Lopez Casasnovas, G. (2021). The effect of lockdowns and infection rates on supermarket sales. Economics and Human Biology, 40. https://doi.org/10.1016/j.ehb.2020.100947 Wang, J., & Zhou, Y. P. (2018). Impact of queue configuration on service time: Evidencefrom a supermarket. Management Science, 64(7), 3055–3075. https://doi.org/10.1287/mnsc.2017.2781 Wankhede, K., Wukkadada, B., & Nadar, V. (2018). Just Walk-Out Technology and its Challenges: A Case of Amazon Go. Proceedings of the International Conference on Inventive Research in Computing Applications, ICIRCA 2018, Icirca, 254–257. https://doi.org/10.1109/ICIRCA.2018.8597403 Wu, C. H., & Yang, D. Y. (2021). Bi-objective optimization of a queueing model with two-phase heterogeneous service. Computers and Operations Research, 130, 105230. https://doi.org/10.1016/j.cor.2021.105230 Xing, W., Li, S., & He, L. (2015). Simulation model of supermarket queuing system. Chinese Control Conference, CCC, 2015-Septe, 8819–8823. https://doi.org/10.1109/ChiCC.2015.7261032 Ying, F., & O’Clery, N. (2021). Modelling COVID-19 transmission in supermarkets usingan agent-based model. PLoS ONE, 16(4 April), 1–13. https://doi.org/10.1371/journal.pone.0249821 Zhao, T., & He, C. (2013). Supermarket application based on queueing theory. LectureNotes in Electrical Engineering, 218 LNEE(VOL. 3), 545–551. https://doi.org/10.1007/978-1- 4471-4847-0_67 |
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Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)https://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Coronado-Hernandez, Jairo R.Pornoy De la ossa, Iván DarioCalderón Ochoa, Andrés FelipeSalas Navarro, KatherinneCárdenas Escorcia, Yulineth2022-11-28T13:19:12Z2022-11-28T13:19:12Z2022https://hdl.handle.net/11323/9640Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/El rendimiento operativo ha sido ampliamente estudiado en la literatura como herramienta para la administración y toma de decisiones en los supermercados. A través de la teoría de colas es posible calcular de manera cuantitativa las medidas de rendimiento operativo en estos establecimientos, con el objeto de tomar decisiones que incidan sobre la eficiencia operacional. A partir del año 2020, con el desafío global debido a la aparición de la pandemia del COVID-19 en los establecimientos comerciales de todo el mundo, incluidos los supermercados, estos se vieron forzados a ajustar la dinámica de su operación y a tomar medidas orientadas a minimizar el riesgo de infección por parte de los clientes, ajustándose a las políticas gubernamentales y de salud pública. Entre una de las medidas adoptadas se encuentra el ajuste del tamaño de aforo máximo permisible en el establecimiento, limitando así el número máximo de clientes que pueden permanecer en estos establecimientos, generando como consecuencia una reducción en sus ventas. Este trabajo presenta el modelamiento de los diferentes sistemas de colas presentes en dos tipos de supermercados: Amazon Go y un supermercado de tipo tradicional, para escenarios con y sin restricciones de aforo por COVID-19. Seguidamente el análisis comparativo de tres indicadores de rendimiento operativo: la Tasa de producción (Throughput), el tiempo de ciclo (Cicle Time) y el Trabajo en Proceso (Work In Process), a través de la implementación de algoritmos programados en el software R y el uso de redes de Jackson. Los resultados de la investigación exhiben los sistemas de colas que presentan mejor desempeño operativo bajo condición de restricción de aforo por COVID19 como sin este, así como las consideraciones especiales que manifiestan estos sistemas.Operational performance has been widely studied in the literature as a tool for management and decision making in supermarkets. Through queuing theory, it is possible to quantitatively calculate the measures of operational performance in these establishments, to make decisions that affect operational efficiency. Starting in 2020, with the global challenge of the pandemic due to the appearance of the COVID-19 virus, commercial establishments around the world, including supermarkets, were forced to adjust the dynamics of their operation and take measures aimed at minimizing the risk of infection to the virus by customers due to government and public health policies. One of the measures adopted is the adjustment of the maximum permissible capacity size in the establishment, thus limiting the maximum number of customers that can stay in these establishments, generating consequently a reduction in their sales. This paper presents the modeling of the different queuing systems present in two types of supermarkets: Amazon Go and a traditional supermarket, for scenarios with and without capacity restrictions due to COVID-19. Next, the comparative analysis of three operational performance indicators: throughput, cycle time and work in process, through the implementation of algorithms programmed in the R software and the use of Jackson networks. The results of the research show the queuing systems that present the best operational performance under conditions of capacity restriction by COVID-19 as well as without it, as well as the special considerations that these systems manifest.Lista de tablas y figuras 12 -- Capítulo I 17 -- Consideraciones Generales 17 -- Introducción 17 -- Planteamiento del problema 19 -- Justificación 21 -- Objetivos 22 -- Objetivo General 22 -- Objetivos Específicos 22 -- Metodología 23 -- Alcance y limitaciones 26 -- Capítulo II 27 -- Rendimiento Operativo en sistemas de colas de Supermercados 27 -- Introducción 27 -- Clasificación de los supermercados 27 -- Teoría de colas 33 -- Clasificación de los sistemas de colas 34 -- Medidas de rendimiento 35 -- Redes de colas 35 -- Clasificación de las redes de colas 35 -- Redes de Jackson 35 -- Medidas de rendimiento 36 – Aplicaciones de la teoría de colas 38 -- Restricciones de aforo por COVID-19 39 -- Capítulo III 41 -- Modelamiento de sistemas de colas en Supermercados sin restricciones de aforo por COVID-19 41 -- Introducción 41 -- Recopilación y tabulación de datos 41 -- Descripción de los modelos de colas 42 -- Introducción 42 -- Modelo Amazon Go: (M/M/∞) 43 -- Supermercado Tradicional con múltiples colas: (M/M/∞ -> S:M/M/1) 44 -- Supermercado Tradicional con múltiples colas en paralelo: (M/M/∞ -> M/M/S) 47 -- Cálculo de los Indicadores de rendimiento operativo 49 -- Conclusiones 50 -- Capítulo IV 51 -- Modelamiento de sistemas de colas en Supermercados con restriccionesde aforo por COVID-19 51 -- Introducción 51 -- Modelos propuestos 51 -- Supermercado Amazon Go: (M/M/∞/��) 51 -- Supermercado Tradicional: (M/M/∞ -> S:M/M/1) 53 -- Supermercado Tradicional: (M/M/∞ -> M/M/S) 55 -- Cálculo de indicadores de rendimiento operativo 56 -- Supermercado Amazon Go: (M/M/∞/��) 58 -- Conclusiones 67 -- Capítulo V 68 -- Análisis de resultados de sistemas de colas en Supermercados 68 -- Introducción 68 -- Resultados obtenidos para los modelos sin restricciones de aforo por COVID-19 68 -- Resultados obtenidos para los modelos con restricciones de aforo por COVID-19 75 -- Conclusiones 94 -- Conclusiones generales y trabajos futuros 97 -- Referencias 96 -- Anexos 107 -- Anexo 1: Código programado en R para el supermercado Amazon Go conrestricciones de bioseguridad por COVID-19 108 -- Anexo 2: Código programado en R para el supermercado Tradicional con múltiplesservidores M/M/1 con restricciones de bioseguridad por COVID-19 110 -- Anexo 3: Código programado en R del supermercado Tradicional con servidores M/M/S con restricciones de bioseguridad por COVID-19 113Magíster en IngenieríaMaestría115 páginasapplication/pdfspaCorporación Universidad de la CostaProductividad e innovaciónBarranquilla, ColombiaMaestría en IngenieríaAnálisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19Trabajo de grado - MaestríaTextinfo:eu-repo/semantics/masterThesishttp://purl.org/redcol/resource_type/TMinfo:eu-repo/semantics/acceptedVersionAl-Kadhimi, A. 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LectureNotes in Electrical Engineering, 218 LNEE(VOL. 3), 545–551. https://doi.org/10.1007/978-1- 4471-4847-0_67Rendimiento operativoTeoría de colasSupermercadosAmazon-GoThroughputOperational performanceSupermarketCOVID-19Queueing theoryPublicationORIGINALAnálisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19.pdfAnálisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19.pdfTesisapplication/pdf1976921https://repositorio.cuc.edu.co/bitstreams/f15e867c-a1ef-4306-ab2c-85f04aebe726/downloadd6ab706bc7168cc19b8a2b7422cda1dbMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/d5d47de9-0fe3-4544-8313-2da65f4c459c/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTAnálisis del rendimiento operativo de sistemas de colas en supermercados considerando restricción de aforo por COVID-19.pdf.txtAnálisis del rendimiento operativo 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ada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
 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