Bayesian sample size determination in a single-server deterministic queueing system

Singh, Saroja Kumar; Acharya, Sarat Kumar; Cruz, Frederico R. B.; Quinino, Roberto da Costa

doi:10.1016/j.matcom.2021.02.010

Cited by 15 publications

(3 citation statements)

References 16 publications

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“…D.G. Kendall suggested a valuable notation for classifying the vast diversity of different wait-line models that have been developed [30]. Kendall's notation of three symbols is as follows: A/B/K, where A indicates the probability distribution of arrivals, B indicates the probability distribution of service times, and K indicates the number of channels.…”

Section: Queuing Theory Kendall's Notationmentioning

confidence: 99%

Minimizing Intersection Waiting Time: Proposal of a Queue Network Model Using Kendall’s Notation in Panama City

Rovetto,

Cruz,

Nuñez

et al. 2023

Applied Sciences

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The paper presents a proposed queuing model based on Kendall’s notation for the intersection of two streets in Panama City (53 East and 56 East). The proposed model is based on a set of traffic lights that controls the flow of vehicles at the intersection according to a predetermined schedule. The model analyzes the stability of the system and simulations are performed to evaluate its performance. The main objective of the paper is to optimize the vehicle flow by minimizing the waiting time for passage. In the study, it was observed that the current traffic light system on Calle 50 (50th Street) is unstable and oversaturated during weekdays, which generates large vehicle queues with no estimated exit times. It was proposed to increase the system capacity to 1300 vehicles per hour to achieve reasonable stability and provide a solution to improve traffic signal timing on 50th Street. The need to increase the system capacity has been demonstrated and an optimal value has been suggested. The evaluation of other models and the use of AI can further strengthen the system and improve the prediction accuracy in different traffic scenarios.

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Section: Queuing Theory Kendall's Notationmentioning

confidence: 99%

Minimizing Intersection Waiting Time: Proposal of a Queue Network Model Using Kendall’s Notation in Panama City

Rovetto,

Cruz,

Nuñez

et al. 2023

Applied Sciences

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show abstract

“…Cumulative arrival rate from

N

toilets is denoted as

{\sum}_{i=1}^N{\lambda}_i

. Service time is constant and is denoted as

{t}_s

which is equal to

\frac{1}{\mu }

35 . Inter‐arrival rate of data from

N

toilets at time

t

, represented as

{\lambda}_{all}^t

, is calculated from the cumulative arrival rate as per the following equation.…”

Section: Proposed Fog‐based Event‐driven Information Fusion Frameworkmentioning

confidence: 99%

“…Service time is constant and is denoted as t s which is equal to 1 𝜇 . 35 Inter-arrival rate of data from N toilets at time t, represented as 𝜆 t all , is calculated from the cumulative arrival rate as per the following equation.…”

Section: Stand-alone Modementioning

confidence: 99%

An event‐driven fusion framework with auto‐scaling of edge intelligence for resilient smart applications in developing countries

Gore

Banerjea

Tyagi

2023

Trans Emerging Tel Tech

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Internet of Things has been a popular technology in recent years for deploying a large‐scale, smart environment monitoring application across the country, using fog computing and the cloud. However, most locations of the developing countries suffer from power outages and limited network connectivity. Moreover, varied population in different locations, may lead to either frequent or rare changes in the state of the monitored environment. Due to these stochastic conditions, there may be substantial increase in service time of the application with unnecessary battery and resource consumption of the fog node. For efficient utilization of fog node resources in dynamic environment conditions, an event‐driven information fusion framework is proposed using docker containerization technology and MQTT (Message Queuing Telemetry Transport) as application layer protocol. The proposed framework provides resilience to the application in the presence of stochastic conditions and auto‐scales edge intelligence with minimum scaling operations. The performance of the framework is validated on a smart sanitation system use‐case application, proposed for autonomous monitoring of restrooms deployed in Indian rural and semi‐urban environment, and the experimental result show deviation of 2.8% in average response time of the application with average accuracy of 98.9%.

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Assessment of Smart Supply Chain Production Floor Based on the Inspection of Final Products: A Simulation-Based Study

Alam,

Uddin,

Azrin

2024

Lecture Notes in Networks and Systems

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Bayesian sample size determination in a single-server deterministic queueing system

Cited by 15 publications

References 16 publications

Minimizing Intersection Waiting Time: Proposal of a Queue Network Model Using Kendall’s Notation in Panama City

Minimizing Intersection Waiting Time: Proposal of a Queue Network Model Using Kendall’s Notation in Panama City

An event‐driven fusion framework with auto‐scaling of edge intelligence for resilient smart applications in developing countries

Assessment of Smart Supply Chain Production Floor Based on the Inspection of Final Products: A Simulation-Based Study

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