Cost Optimization of the Queueing System with Degrading Service Rate, Bernoulli Vacation, and a Regular Vacation After Fixed Services

Choudhary, Alka; Mahla, Nitin; Sharma, Dinesh C

doi:10.1007/s40819-022-01319-z

Cited by 2 publications

(1 citation statement)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The inter arrival time, service time, breakdown time and vacation time are mutually independent. If there are n customers in the system then the joining probability is k n and the balking probability is (1k n ), where k n is defined according to Choudhary [12] as,…”

Section: Model Descriptionmentioning

confidence: 99%

Study of markovian queueing model with F-policy, impatience customers, feedback and re-service, server vacation and breakdown

Mahla

Sharma

2022

Preprint

View full text Add to dashboard Cite

A system with two heterogeneous servers with impatient customers and finite capacity is considered. The admission control of customers is based on F-policy. This paper is based on M/M/2 queues, and presents the study of two heterogeneous servers where one server is the primary server and other is secondary. Customers are primarily served by the main server, who also takes customer's feedback into account. If customers are unsatisfied and opt for further service, the second server will serve them. The main server considered is unreliable, that is, it may breakdown at any time. The main server will go for vacation whenever there is no customer to serve. To analyze the performance of the model, we calculated the measures of performance and did the cost analysis. Impact of F-policy on system's estimated profit is shown. At last, conclusions are drawn.

show abstract

Section: Model Descriptionmentioning

confidence: 99%

Study of markovian queueing model with F-policy, impatience customers, feedback and re-service, server vacation and breakdown

Mahla

Sharma

2022

Preprint

View full text Add to dashboard Cite

show abstract

A literature review on retrial queueing system with Bernoulli vacation

Micheal Mathavavisakan,

Indhira

2024

YUGOSLAV J OPERATION

View full text Add to dashboard Cite

The retrial phenomenon occurs inherently in a wide range of queueing systems. The majority of retrial queueing models do not account for vacation. However, in practice, retrial queueing systems undergo vacations for maintenance or other reasons. In this study, we provide an in-depth analysis of the many possible retrial queueing systems when Bernoulli vacations are in effect. Moreover, this study outlines the key principles and reviews the relevant literature. The framework of a retrial queue with Bernoulli vacation has numerous applications in computer networking systems, manufacturing and production mechanisms, inventory systems, including network service, mail service and file transfer service, etc. Several retrial queueing systems have been investigated, notably M/M/1, M/M/C, M/G/1, M[X]/G/1, and Geo/G/1. Many other important situations, such as server interruption, feedback, G-queue, impatient customers, priority customers, etc., have been explored in relation to retrial queues with Bernoulli vacation and the results of these investigations are also highlighted. The foremost objective of this study is to help researchers, administrators and technical workers who want to use queuing theory to simulate congestion and need to know where to find details on the right models. Finally, some open problems and potential future lines of survey are also covered.

show abstract

Cost Optimization of the Queueing System with Degrading Service Rate, Bernoulli Vacation, and a Regular Vacation After Fixed Services

Cited by 2 publications

References 40 publications

Study of markovian queueing model with F-policy, impatience customers, feedback and re-service, server vacation and breakdown

Study of markovian queueing model with F-policy, impatience customers, feedback and re-service, server vacation and breakdown

A literature review on retrial queueing system with Bernoulli vacation

Contact Info

Product

Resources

About