A multi-objective fuzzy queuing priority assignment model

Jolai, Fariborz; Asadzadeh, Seyed Mohammad; Ghodsi, Reza; Bagheri-Marani, Shiva

doi:10.1016/j.apm.2016.06.024

Cited by 5 publications

(3 citation statements)

References 31 publications

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“…The figures depict the rough shape from these values. In the following examples, we assume that the arrival rate Λ, service rate µ, reward R and holding cost C are trapezoidal fuzzy numbers represented by [1,2,3,4], [5,6,7,8], [10,15,20,25], [2,4,6,8], respectively. As is shown in the figures, we can make the following observations.…”

Section: 1mentioning

confidence: 99%

“…To solve the model, a new solution approach is proposed by combining queuing theory, fuzzy possibilistic programming and fuzzy multi-objective programming. Jolai et al [7] study a multi-objective priority assignment problem in a fuzzy queue by the fuzzy data envelopment analysis (FDEA) method. The advantages of FDEA include handling fuzzy uncertainty, its simplicity, efficiency, and its multivariate nature.…”

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confidence: 99%

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Analysis of strategic customer behavior in fuzzy queueing systems

Chen¹,

Liu²,

Zhang³

2020

Journal of Industrial &Amp; Management Optimization

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This paper 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 have been used to investigate the membership functions of the optimal and equilibrium strategies in both observable and unobservable cases. By Zadeh's extension principle and α-cut approach, we formulate a pair of parametric nonlinear programs to describe the family of crisp strategy. Then the membership functions of the strategies in single and multi-server models are derived. Furthermore, the grated mean integration method is applied to find estimate of the equilibrium strategy in the fuzzy sense. Finally, numerical examples are solved successfully to illustrate the validity of the proposed approach and a sensitivity analysis is performed, which show the relationship of these strategies and social benefits. Our finding reveals that the value of equilibrium and optimal strategies have no deterministic relationship, which are different from the results in the corresponding crisp queues. Since the performance measures of such queues are expressed by fuzzy numbers rather than by crisp values, the system managers could get more precise information.

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Section: 1mentioning

confidence: 99%

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confidence: 99%

Analysis of strategic customer behavior in fuzzy queueing systems

Chen¹,

Liu²,

Zhang³

2020

Journal of Industrial &Amp; Management Optimization

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“…Pearl and Yechiali (2010) in their study, they examined the M/M/c queuing system in a two-phase Markovian random enviroment, fast and slow, for non-patient customers. Jolai et al (2016) studied a multipurpose priority fuzzy queuing system. Kim et al (2016) adapted a priority tandem queuing system to a customer service model.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Efficiency Measures of Non-Priority and Non-Pre-Emptive Priority Queues

Çelik

Sağlam

2021

The Journal of International Scientific Researches

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When there are different customer classes in a queue system, the -th class customers have their services before the + 1, = 1, 2, … class customers. Such queues are named as queues with priority scheduling. In this study a Markov priority queue system with two customer classes is analyzed both under non-pre-emptive and nonpriority scheduling and the efficiency measures (the expected number of customer in system, the average waiting time in system) are obtained using Little's Law. The efficiency criteria are compared according to the priority situation. In addition, parameter estimates were compared with simulation results. The simulation was performed using the R program. ÖzBir kuyruk sisteminde farklı müşteri sınıfları olduğunda, -inci sınıf müşteriler hizmetlerini + 1, = 1, 2, … sınıfı müşterilerden önce alırlar. Bu tür kuyruklar, öncelikli kuyruklar olarak adlandırılır. Bu çalışmada, iki müşteri sınıfına sahip bir Markov öncelikli kuyruk sistemi hem sınırlı olmayan hem de önceliksiz planlama kapsamında analiz edilmiş ve performans ölçümleri (sistemdeki beklenen müşteri sayısı, sistemdeki ortalama bekleme süresi) Little yasası kullanılarak elde edilmiştir. Performans kriterleri öncelik durumuna göre karşılaştırılmıştır. Ayrıca gerçek parametre tahminleri simülasyon sonuçlarıyla karşılaştırılmıştır. Simülasyon, R programı kullanılarak yapılmıştır.

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