具有不同故障和延迟维修的重试队列的优化分析
Optimization Analysis of Retrial Queues with Different Breakdowns and Delayed Repairs
摘要: 本文研究具有两种类型故障和延迟维修的M/M/1重试队列。在稳态条件下，我们得到了服务台状态和轨道顾客数的概率母函数的表达式。建立了以期望成本最小化和顾客期望等待时间最小化为目标的双目标优化模型。拟议的分析办法使我们能够在成本费用和服务质量之间取得适当的平衡。
Abstract: In this paper we study M/M/1 retrial queues with two types of breakdowns and delayed repairs. Under steady-state conditions, we obtain expressions for the probability generating functions of the server state and the number of orbital customers. A bi-objective optimization model with the objectives of minimizing the expected cost and minimizing the expected waiting time of the customers is developed. The proposed analytical approach allows us to achieve an appropriate balance between operational costs and service quality.
文章引用：韩云娜. 具有不同故障和延迟维修的重试队列的优化分析[J]. 统计学与应用, 2023, 12(2): 332-338. https://doi.org/10.12677/SA.2023.122035

参考文献

[1] Artalejo, J.R. and Gómez-Corral, A. (1999) Retrial Queueing Systems. Mathematical and Computer Modelling, 30, 13-15.
[Google Scholar] [CrossRef] 
[2] Tian, N.S., Li, J.H. and Zhang, Z.G. (2009) Matrix Analytic Method and Working Vacation Queues—A Survey. International Journal of Information and Management Sciences, 20, 603-633.
[3] Kulkarni, V.G. and Choi, B.D. (1990) Retrial Queues with Server Subject to Breakdowns and Repairs. Queueing Systems, 7, 191-208.
[Google Scholar] [CrossRef] 
[4] Gao, H., Zhang, J. and Wang, X. (2020) Analysis of a Retrial Queue with Two-Type Breakdowns and Delayed Repairs. IEEE Access, 8, 172428-172442.
[Google Scholar] [CrossRef] 
[5] Krishna, K.B., Rukmani, R., Thanikachalam, A., et al. (2016) Performance Analysis of Retrial Queue with Server Subject to Two Types of Breakdowns and Repairs. Operational Research, 18, 521-559.
[Google Scholar] [CrossRef] 
[6] Tavakkoli-Moghaddam, R., Vazifeh-Noshafagh, S., Taleizadeh, A.A., et al. (2017) Pricing and Location Decisions in Multi-Objective Facility Location Problem with M/M/m/k Queuing Systems. Engineering Optimization, 49, 136-160.
[Google Scholar] [CrossRef] 
[7] Wu, C.H. and Yang, D.Y. (2021) Bi-Objective Optimization of a Queueing Model with Two-Phase Heterogeneous Service. Computers & Operations Research, 130, Article No. 105230.
[Google Scholar] [CrossRef] 
[8] Khodemani-Yazdi, M., Tavakkoli-Moghaddam, R., Bashiri, M., et al. (2019) Solving a New Bi-Objective Hierarchical Hub Location Problem with an M/M/c Queuing Framework. Engineering Applications of Artificial Intelligence, 78, 53-70.
[Google Scholar] [CrossRef] 
[9] Hajipour, V., Farahani, R.Z. and Fattahi, P. (2016) Bi-Objective Vibration Damping Optimization for Congested Location—Pricing Problem. Computers & Operations Research, 70, 87-100.
[Google Scholar] [CrossRef] 
[10] Vishkaei, B.M., Fathi, M., Khakifirooz, M. and De Giovanni, P. (2021) Bi-Objective Optimization for Customers’ Satisfaction Improvement in a Public Bicycle Sharing System. Computers & Industrial Engineering, 161, Article No. 107587.
[Google Scholar] [CrossRef] 
[11] Wu, C.H., Yang, D.Y. and Yong, C.R. (2023) Performance Evaluation and Bi-Objective Optimization for F-Policy Queue with Alternating Service Rates. Journal of Industrial and Management Optimization, 19, 3819-3839.
[Google Scholar] [CrossRef] 
[12] Pouraliakbari-Mamaghani, M., Mohammadi, M., Arshadi-Khamseh, A., et al. (2021) A Bi-Objective Robust Possibilistic Programming Model for Blood Supply Chain Design in the Mass Casualty Event Response Phase: a M/M/1/K Queuing Model with Real World Application. International Journal of Operational Research, 42, 229-275.
[Google Scholar] [CrossRef] 

为你推荐