顾客采用阈值进队策略的出租车-乘客双端队列模型任务书

 2021-10-22 21:43:36

1. 毕业设计(论文)的内容和要求

内容:双端队列在生活中很常见,譬如在出租车站点(如机场),出租车与乘客通常会在两端分别排队,为了处理的方便,传统中研究双端队列常会假设出租车与顾客的匹配时间为零。

在本课题中,为了更贴合实际,我们假设匹配时间为一指数型随机变量,同时考虑乘客的排队意愿将会因为队长增长而降低这一现实情况,从而为系统设置变化的进入率。

借助于矩阵几何解的方法,我们得到该排队模型的一系列性能指标,并通过数值算例,找到出租车站点容纳停靠出租车数目的最优阈值。

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2. 参考文献

【1】N. T. Thomopoulos (2012) Fundamentals of Queuing Systems. Springer, New York.【2】Afche, P., Diamant, A., 1201.【3】Chen, J., Huang, S., Hassin, R., 1656.【4】Conolly, B. W., Parthasarathy, P. R., 2072.【5】Crescenzo, A. D., Giorno, V., Kumar, B. K., usion approximation. Methodology and Computing in Applied Probability, 14(4), 937954.【6】Dobbie, J. M. (1961). Letter to the editor-a doubled-ended queuing problem of Kendall.Operations Research, 9(5), 755757.【7】Edelson, N. M., Hilderbrand, D. K. (1975). Congestion tolls for Poisson queuing pro-cesses. Econometrica: Journal of the Econometric Society, 43(1), 8192.【8】Giveen, S. M. (1963). A taxicab problem with time-dependent arrival rates. SIAM Review,5(2), 119127.【9】Guo, P., Hassin, R. (2011). Strategic behavior and social optimization in Markovianvacation queues. Operations Research, 59, 986997.【10】Gurvich, I., Ward, A. (2014). On the dynamic control of matching queues. StochasticSystems, 4(2), 479523.【11】Hassin, R., Haviv, M. (2003). To queue or not to queue: Equilibrium behavior in queueing systems. Springer Science Business Media.【12】Jain, H. C. (1962). A double-ended queueing system. Defence Science Journal, 12(4),327332.【13】Kashyap, B. R. K. (1966). The double-ended queue with bulk service and limited waitingspace. Operations Research, 14(5), 822834.【14】Kashyap, B. R. K. (1967). Further results for the double ended queue. Metrika, 11(1),168186.【15】Kendall, D. (1951). Some problems in the theory of queues. Journal of the Royal Statistical Society, Series B, 13(2), 151185.【16】Kim, W. K., Yoon, K. P., Mendoza, G., Sedaghat, M. (2010). Simulation model for ex-tended double-ended queueing. Computers and Industrial Engineering, 59(2), 209219. Li.【17】Q., Guo, P., Li, C. L., Song, J. S. (2016). Equilibrium joining strategies and optimalcontrol of a make-to-stock queue. Production and Operations Management, 25(9),15131527.【18】Chakka R (1995) Performance and reliability modelling of computing systems using spectralexpansion. Ph.D. Thesis, University of Newcastle upon Tyne, Newcastle upon Tyne【19】Mitrani I and Chakka R (1995) Spectral expansion solution for a class of Markov models:application and comparison with the matrix-geometric method. Perform Eval 23(3):241-260【20】Haverkort B and Ost A (1997) Steady state analysis of infinite stochastic petri nets: a comparing between the spectral expansion and the matrix geometric method, 7th InternationalWorkshop on petri Nets and Performance models. 335-346【21】 Latouche G and Ramaswami V (1999) Introduction to matrix analytic methods in stochastic modeling. ASA-SIAM Series on Statistics and Applied Probability. Philadelphia【22】Neuts M F (1981) Matrix-Geometric Solutions in Stochastic Models: Algorithmic Approach. Johns Hopkins University Press, Baltimore

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