International Journal of Advanced Networking and Applications

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A Study on Queuing Systems and its Deterministic Measures


Affiliations
1 Department of Mathematics, Cambridge Institute of Technology – NC, Bangalore-561203, India
2 Department of Artificial Intelligence, Anurag University, Hyderabad-500088, India
 

In this paper we show that queueing theory can accurately model the flow of in-patient in hospital. In which arrival rate, service rate and number of parallel servers are all considered as fuzzy numbers. Further Robust Ranking technique is used to find the expected mean queue length and waiting time in queue. Further numerical illustration is also given to justify the validity of the model. In this model capacity of the system is infinite.

Keywords

Queuing System, Kendell Notation, System Performance Measures, Arrival, and Departure.
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  • Mamatha, E., Anand, S. K., Devika, B., Prasad, S. T., & Reddy, C. S. (2021). Performance Analysis of Data Packets Service in Queuing Networks System. In 2021 12th International Conference on Computing Communication and Networking Technologies (ICCCNT) (pp. 1-4). IEEE.

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  • Andalib, M. A., Ghaffarzadegan, N., & Larson, R. C. (2018). The postdoc queue: A labour force in waiting. Systems Research and Behavioral Science, 35(6), 675-686.

  • MMamatha, E., Reddy, C. S., & Prasad, R. (2012). Mathematical Modeling of Markovian Queuing Network with Repairs, Breakdown and fixed Buffer. i-Manager's Journal on Software Engineering, 6(3), 21.

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  • Saritha, S., et al. "A model for overflow queuing network with two-station heterogeneous system." International Journal of Process Management and Benchmarking 12.2 (2022): 147-158.

  • Hamdi, M. M., Rashid, S. A., Ismail, M., Altahrawi, M. A., Mansor, M. F., &AbuFoul, M. K. (2018, November). Performance evaluation of active queue management algorithms in large network. In 2018 IEEE 4th International Symposium on Telecommunication Technologies (ISTT) (pp. 1-6). IEEE.

  • Reddy, C. C. S., Prasad, K. R., Mamatha, E., & Reddy, B. S. (2009). Performance Evaluation of Heterogeneous Parallel Processor System with Alternative Repair Strategies. i-Manager's Journal on Software Engineering, 4(1), 18.

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  • Bouchentouf, A. A., Cherfaoui, M., & Boualem, M. (2021). Analysis and performance evaluation of Markovian feedback multi-server queueing model with vacation and impatience. American Journal of Mathematical and Management Sciences, 40(3), 261-282.

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  • A Study on Queuing Systems and its Deterministic Measures

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Authors

C.S Reddy
Department of Mathematics, Cambridge Institute of Technology – NC, Bangalore-561203, India
Krishna Anand S
Department of Artificial Intelligence, Anurag University, Hyderabad-500088, India

Abstract


In this paper we show that queueing theory can accurately model the flow of in-patient in hospital. In which arrival rate, service rate and number of parallel servers are all considered as fuzzy numbers. Further Robust Ranking technique is used to find the expected mean queue length and waiting time in queue. Further numerical illustration is also given to justify the validity of the model. In this model capacity of the system is infinite.

Keywords


Queuing System, Kendell Notation, System Performance Measures, Arrival, and Departure.

References