Analysis of bulk service queuing system with rework, unreliable server, resuming service and two kinds of multiple vacation

The orthodox way of tile printing results in mulish production. To tame this, digital inkjet printing technology was imposed. In this article, a mathematical prototype is designed exclusively for the tile printing wing. The various plants coming under printing are correlated to the proposed prototype. The article throws light on the functioning of the prototype. The prototype turns up subservient to bulk service queue models with two types of vacations. The prototype is resolved under the supplementary variable technique. The prototype with peculiar conditions is proved to be the existing model. Anticipated line distance, awaited active duration, awaited standby time, and expected idle period were computed. Thus, the total average cost is acquired for diverse vacation values. The main intention of the pattern is to downside the total average cost.

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“…is the distribution of bulk queuing system with vacation. e outcome coincides with the result stated in [6].…”

Section: Particular Casesupporting

confidence: 91%

“…G-Queues, along with server breakdown and reservice, have been considered by Ayyappan and Supraja [5]. Karpagam [6] has considered a queue system which has more application in industries. Ali and Reza [7] have considered a queue model with k sequential heterogeneous service steps and vacations.…”

Section: Literature Surveymentioning

confidence: 99%

Mathematical Modelling of MX/G(a, b)/1 Bulk Service Queue Model with Two Vacations and Setup Time in Ceramic Technology

Lavanya¹,

Vennila²,

Sankoh

2022

Mathematical Problems in Engineering

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Multi-server Markovian heterogeneous arrivals queue with two kinds of working vacations and impatient customers

Yohapriyadharsini

Suvitha

2023

YUGOSLAV J OPERATION

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This paper deals with multi-server queueing system with two kinds of Working Vacations (WVs) and impatient customers. A random timer is started whenever a customer comes into the system. The customer may abandon the system if the service is not completed before the impatience timer expires. Each time after serving all the customers, the system becomes empty and then the server begins 1st kind of vacation. On returning from 1st kind of WV, the server begins 2nd kind of WV whenever a system has no customers. When the server comes back from either 1st kind or 2nd kind of WV, if there is at least one customer in the system, the server switches to busy period. The steady state probabilities have been derived using the Probability Generating Functions (PGFs) method. Various measures of performance are presented and numerical illustrations are also provided.

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Analysis of bulk service queuing system with rework, unreliable server, resuming service and two kinds of multiple vacation

Cited by 2 publications

References 26 publications

Mathematical Modelling of MX/G(a, b)/1 Bulk Service Queue Model with Two Vacations and Setup Time in Ceramic Technology

Mathematical Modelling of MX/G(a, b)/1 Bulk Service Queue Model with Two Vacations and Setup Time in Ceramic Technology

Multi-server Markovian heterogeneous arrivals queue with two kinds of working vacations and impatient customers

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