A Single Server Vacation Queue With Type of Services and With Restricted Admissibility

Kalyanaraman, R.; Suvitha, V.

doi:10.17654/ms103010125

Cited by 2 publications

(2 citation statements)

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“…Based on Kalyanaraman and Suvitha [10], they supposed that as soon as the service of a customer is completed the server may go for a vacation. In this paper, we consider customer variety-seeking as similar pattern as server's vacation pattern.…”

Section: The Model Extensionmentioning

confidence: 99%

Extending the Queue Question to Customer Purchase Rate to Predict the Probability of Customer Inactive

Huang¹

2019

AJDMKD

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In the rapidly changing market, there is a never-ending sequence of marketing actions and competitive reactions. Customer may consume much volume to stockpile more than they need when the price promotion or some benefit that retail gives. Thus this paper explores the customer purchase rate, the speed of product consumption and the inactive probability with extending queue model. A real data set from the customer purchase behavior in two electronic business retailers website includes purchase volume, the duration of customer consumption (which is the interpurchase time between purchase behavior with the same product in the same brand) and the duration of variety-seeking (which is defined as customer purchase the same categories but different brand of product) to estimate the parameters and calculate the expectation value of product consumption and product stockpile volume. This result can make application for other industries such as e-commerce.

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Section: The Model Extensionmentioning

confidence: 99%

Extending the Queue Question to Customer Purchase Rate to Predict the Probability of Customer Inactive

Huang¹

2019

AJDMKD

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“…A number of academics have recently become interested in the batch arrival queue with vacation. Prominent investigators include Laxmi Pikkala and Demie [19], Baba [20], Zadeh and Shahkar [21], Choi and Park [22], as well as Kalyanaraman and Suvitha [23].…”

Section: Introductionmentioning

confidence: 99%

Metaheuristic Cost Optimization of MX/G1,G2/ 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

2024

Contemp. Math.

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We presented a MX /G1, G2 /1 queueing system with a Bernoulli schedule that includes service disruption, working breakdown, balking, catastrophe and extended server vacations. All customers that arrive are served by a single server, with service time determined by general distribution. As soon as the system fails, the server keeps serving the current client at a reduced rate while repairs are made. It is believed that the vacation schedule is broad. Random disruptions to the server occur, with an exponential distribution in the length of the disruption. We assume that besides a Poisson stream of positive arrivals, there is a Poisson stream of negative arrivals, which we refer to as catastrophes. Using the supplementary variable technique, the Laplace transforms of the time-dependent probability of the system state are derived. We can infer steady-state outcomes from this. The average waiting time and queue size were also obtained. An additional topic of discussion is Adaptive Neuro-Fuzzy Inference system (ANFIS). Furthermore, this work uses Particle Swarm Optimisation (PSO), Artificial Bee Colonies (ABC), and Genetic Algorithms (GA) to swiftly find the system’s optimal cost. Additionally, we examined the convergence of several graph-optimisation strategies.

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A Single Server Vacation Queue With Type of Services and With Restricted Admissibility

Cited by 2 publications

References 0 publications

Extending the Queue Question to Customer Purchase Rate to Predict the Probability of Customer Inactive

Extending the Queue Question to Customer Purchase Rate to Predict the Probability of Customer Inactive

Metaheuristic Cost Optimization of <i>M<sup>X</sup>/G<sub>1</sub>,G<sub>2</sub>/</i> 1 Queue with Service disruption, Working breakdown, Balking, Catastrophe and Extended Server Vacation with Bernoulli Schedule

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