Analysis of strategic customer behavior in fuzzy queueing systems

Chen, Gang; Liu, Zaiming; Zhang, Jingchuan

doi:10.3934/jimo.2018157

Cited by 6 publications

(4 citation statements)

References 24 publications

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“…Let 𝜆 ̃1 = (2,4,6), 𝜆 ̃2 = (3,5,7) are the arrival rates and 𝜇 ̃1 = (16,19,22) and 𝜇 ̃2 = (18,21,24) are the service rates respectively.…”

Section: Single Transmit Fuzzy Queuing Model With Two Classesmentioning

confidence: 99%

“…The membership function of the fuzzy cost function is proposed by S. Hanumantha Rao et al [24] to get confident predictions for certain key metrics of a configurable 2 different service dedicated server markovian gating queues with server starts and breakdown over N-policy. G. Chen et al [22] investigated the optimum and equilibria techniques in fuzzy M/M/1 queues with all fuzzy numbers as control variables in this study. S. Narayana Moorthy et al [20] used intuitionistic fuzzy numbers for input parameters and the basic approach is based on Atanassov's extension principle and (𝛼, 𝛽) -cut method.…”

Section: Introductionmentioning

confidence: 99%

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Comparison of Single Transmit Queuing System Including Proportions of Execution Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Two Classes

2022

IJIES

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This research provides a two-class single transmit queuing model. We also calculate the model's execution proportions under a vague environment. The main purpose of this inquiry is to compare the results of a single transmit queuing model based on fuzzy queuing theory and intuitionistic fuzzy queuing theory. Triangular fuzzy numbers and triangular intuitionistic fuzzy numbers are used to describe the entry (arrival) and administration (service) rates. The fuzzy queuing theory model's evaluation metrics are supplied as a range of values, but the intuitionistic fuzzy queuing theory model offers a wide range of values. An analysis is offered to discover quality measures utilizing a proposed methodology in which the fuzzy values are retained as is without being altered into crisp values, hence we can use the proposed method to draw scientific conclusions in an uncertain environment. Two numerical problems are solved to demonstrate the sustainability of the suggested method. Subsequently, prototype components were exposed to sensitivity analyses. Sensitivity testing is used to find discrepancies between the two groups when calculating their execution proportions. We employed the triangular fuzzy number in an intuitionistic fuzzy environment in this study, accounting for the degree of comfort and refusal so that the sum of both values is always less than 1. For this type of fuzzy integer, we gave various non-normal arithmetic procedures. The proposed formulations are simple and direct, having been devised using classical algebraic mathematics. This strategy is simple and straightforward to use in actual situations. The nearest interval number is then used to round a TIFN. The key benefit of this approach is that using a multi-section algorithm, we can quickly solve a bound unbridled optimization problem with coefficients as TIFN. The present methodologies and strategies are intended to be applicable to a variety of contemporary decision-making challenges in areas of economic share, finance, administration, and ecology, which are the focus of our future study.

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“…Let 𝜆 ̃1 = (2,4,6), 𝜆 ̃2 = (3,5,7) are the arrival rates and 𝜇 ̃1 = (16,19,22) and 𝜇 ̃2 = (18,21,24) are the service rates respectively.…”

Section: Single Transmit Fuzzy Queuing Model With Two Classesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Comparison of Single Transmit Queuing System Including Proportions of Execution Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Two Classes

2022

IJIES

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“…Based on α-cut approach and Zadeh's extension principle, the fuzzy queues were transformed into family of crisp queues. [11] analyzes the optimal and equilibrium strategies in fuzzy Markovian queues where the system parameters are all fuzzy numbers. In this work, tools from both fuzzy logic and queuing theory were used to investigate the membership functions of the optimal and equilibrium strategies in both observable and unobservable cases.…”

Section: Introductionmentioning

confidence: 99%

A Fuzzy-Based Servers’ Management Technique for M/M/m Queue Network

Gbadebo,

Akinwale,

Sodiya

et al. 2023

Preprint

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The study presents an M/M/m queue model for a fuzzy-based management of parallel multiple servers. In this network, customers arrive according to a homogeneous Poisson process at rate λ and are served on first-come, first-served basis. The model may have up to three categories of servers viz: active servers, ’server(s) on vacation’ and reserved servers. In a situation where all active servers are busy and customers arrive, there are three possibilities: a server on vacation (if any), is turned on to attend to the arriving customers; the system request for additional server(s) from among reserved servers or the arriving customer(s) wait until one or more of the active servers becomes idle. Decision on management of servers is based on the output. This decision is taken by an Expert System which adopts fuzzy logic approach to process inputs as crisp variables to generate output based on given rules. This is necessary to ensure that available servers are put to optimal use while arriving customers are serviced within the shortest possible time and servers’ costs are minimized.

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“…They analyzed the queueing system having two queues in series with reneging customers. Very recently, Chen et al [35] investigated the optimal and equilibrium balking strategies in fuzzy queues under two different levels of information.…”

Section: Introductionmentioning

confidence: 99%

Optimization of M/M/s/N Queueing Model with Reneging in a Fuzzy Environment

Panta¹,

Ghimire²,

Panthi³

et al. 2021

AJOR

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This paper deals with the study of multi-server queueing model in a fuzzy environment with imposition of reneging of customers. Entry of the customers in the system is assumed to be Poisson process and exponential service time distribution under first-come-first-served basis. Specific of this investigation is to derive the various fuzzy performance measures such as fuzzy queue length, fuzzy waiting time in queue, fuzzy response time and fuzzy optimal number of servers in explicit form for the finite capacity multi-server queueing system by using recursive method. For the validity of the model we have obtained the numerical illustrations in tabular form which shows that fuzzy-queue can be more realistic than crisp queue.

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Analysis of strategic customer behavior in fuzzy queueing systems

Cited by 6 publications

References 24 publications

Comparison of Single Transmit Queuing System Including Proportions of Execution Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Two Classes

Comparison of Single Transmit Queuing System Including Proportions of Execution Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Two Classes

A Fuzzy-Based Servers’ Management Technique for M/M/m Queue Network

Optimization of M/M/s/N Queueing Model with Reneging in a Fuzzy Environment

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