Reduction in Waiting Time in an M/M/1/N Encouraged Arrival Queue with Feedback, Balking and Maintaining of Reneged Customers

Khan, Ismailkhan Enayathulla; Paramasivam, Rajendran

doi:10.3390/sym14081743

Cited by 12 publications

(7 citation statements)

References 14 publications

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“…Then the transition-probability-matrix (P c,d ) to be a ϖ 2 matrix in [29]. The ϖ 2 matrix-variances from that of M x /(G 1 , G 2 )/1 queue in the 1 st row only.…”

Section: The Embedded-markov-chain and The Stochastic Markov-renewal ...mentioning

confidence: 99%

“…Encouraged arrival concept in queueing system is mainly used to attract more customers by giving them some amount of discounts to gain positive response from customers, so this will surely increase amount of clients in the system and business profit. [12,29] developed an M/M/1/N queueing model with encouraged arrival. In [13], a steady state study of an MX/G/1 queue with a two-phase service and Bernoulli vacation schedule was discovered.…”

Section: Introductionmentioning

confidence: 99%

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Efficacy of the Single Server Markovian Two-Phase Symmetric Queue with Encouraged Stationary-Queue-Size Analysis

Jeyachandhiran,

Rajendran

2023

Contemp. Math.

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The efficacy of the Markovian single server symmetric queue is examined in this paper together with the suggested encouraged stationary queue-size analysis. First, we propose the stochastic Markov renewal process with encouraged arrival see time averages and encouraged arrival-stationary-queue-size analysis. The server takes further vacations after two extra service phases or until the server discovers a new set of clients in the service. Finally, we discuss the utility of the Bernoulli two-vacation symmetric queue, and it is clearly shown that the degree of efficiency rises when the encouraged arrival is taken into account.

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“…Then the transition-probability-matrix (P c,d ) to be a ϖ 2 matrix in [29]. The ϖ 2 matrix-variances from that of M x /(G 1 , G 2 )/1 queue in the 1 st row only.…”

Section: The Embedded-markov-chain and The Stochastic Markov-renewal ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Efficacy of the Single Server Markovian Two-Phase Symmetric Queue with Encouraged Stationary-Queue-Size Analysis

Jeyachandhiran,

Rajendran

2023

Contemp. Math.

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“…The impacts of reneging, server breakdown, and server vacation on the various stages of the batch arrivals queueing system with a single server serving clients in three varying modes are investigated in the article by Enogwe S. and Obiora-Ilouno [13]. Khan IE, Paramasivam R analysed the quality control policy for the Markovian model with feedback, balking and maintaining reneged clients using an iterative method to the nth customer in the system [14].…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Rdx Mechanism in Data Transmission Using Ibm Web Sphere, Ai and Tandem Queue

NIRANJAN,

LATHA

2024

Preprint

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In this paper we have discussed tandem queue with two service nodes. In this system, the customer require services at both nodes elaborated RDX mechanism and IBM web sphere in artificial intelligence (AI). The first essential service (FES) starts in data search and initiating the data to be required in using the RDX mechanism then the second essential service (SES) starts from validating the information in IBM web sphere and insight with the use of AI. After the completion of a service at node1 if the minimum number of customer is less than ‘a’ then the server leaves for secondary job. The service started once the vacation reaches the threshold value. When the service ends at node 1, it departs from here to proceed node 2 and receive the second service from there. We have to find PGF of a queue size at an arbitrary time epoch by using supplementary variable technique. Various characteristics of the queueing system are also obtained with a numerical solution.

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“…Due to an additional optional service, breakdowns, and repeated vacations with dissatisfied customers,for a batch encouraged arrival of Markovian queuing model has been studied in [11] and [12]. The Markovian model's quality control methodology provides an iterative approach to the nth customer in the system are studied in [13]. Stationary distribution of coxian-2 service with vaction times and deterministic service were studied in [14], [16] and [17].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Economic Cost of Coxian-2 Service with Encouraged Arrival and Balking

Immaculate,

Rajendran

2024

Int. J. Anal. Appl.

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The queuing model is widely used in the production, inventory, and service industries. In order to improve the performance of a queuing model, it is crucial to characterize the practical queuing characteristics. The purpose of this work is to examine an analysis of the economic cost of Coxian-2 service with encouraged arrival and balking in a queuing system. In particular, we discussed Coxian-2 service-encouraged arrival queuing system and an accelerated distribution. According to our presumption, units (customers) enter the system one at a time in an encouraged arrival procedure, and the server offers Coxian-2 service one at a time according to the first in first out (FIFO) rule. As probability-generating functions, the typical customer count, and the typical customer wait time in the system and queue, respectively. We also derive steady-state probabilities and performance measures for the proposed model. Finally, the economic analysis of the model is performed by introducing cost model with an empirical example is given to show the effectiveness of the proposed model. The created formula also fulfills Little’s formula.

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Reduction in Waiting Time in an M/M/1/N Encouraged Arrival Queue with Feedback, Balking and Maintaining of Reneged Customers

Cited by 12 publications

References 14 publications

Efficacy of the Single Server Markovian Two-Phase Symmetric Queue with Encouraged Stationary-Queue-Size Analysis

Efficacy of the Single Server Markovian Two-Phase Symmetric Queue with Encouraged Stationary-Queue-Size Analysis

Performance Analysis of Rdx Mechanism in Data Transmission Using Ibm Web Sphere, Ai and Tandem Queue

Analysis of the Economic Cost of Coxian-2 Service with Encouraged Arrival and Balking

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