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Equilibrium Strategies and Optimal Control for a Double-Ended Queue
Ying Shi1; Zhaotong Lian2
2016-05-20
Source PublicationAsia-Pacific Journal of Operational Research
ISSN0217-5959
Volume33Issue:3
Abstract

In this paper, we study a passenger–taxi matching queue system. The system is modeled as a birth-and-death process. Since the system is so complex, we mainly focus on numerical analysis. A centralized system and a decentralized one are considered. In the centralized system, the government sets thresholds for both passengers and taxis to maximize the social welfare. We analyze the performance measures of this model, discuss the range of two thresholds that ensures positive social welfare, and numerically give the upper bound of threshold. In the decentralized system, passengers and taxis determine whether to join the system or balk based on their individual utility functions. Further, we consider the government’s tax and subsidy to the taxi drivers. Numerical results show that the social welfare function in the centralized system is concave with respect to the thresholds and the government central planning benefits the society. In the decentralized system, no matter what the passenger and taxi arrival rates are, the social welfare is concave with respect to the taxi fare. Moreover, we analyze the effect of the arrival rates and the benefits of the tax and subsidy.

KeywordDouble-ended Queueing System Markov Process Equilibrium Pricing Buffer
DOIhttps://doi.org/10.1142/S0217595916500226
Indexed BySCI ; SSCI
WOS Research AreaOperations Research & Management Science
WOS SubjectOperations Research & Management Science
WOS IDWOS:000378635700008
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Business Administration
DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Corresponding AuthorZhaotong Lian
Affiliation1.Zhejiang University of Finance and Economics
2.Faculty of Business Administration University of Macau
Corresponding Author AffilicationFaculty of Business Administration
Recommended Citation
GB/T 7714
Ying Shi,Zhaotong Lian. Equilibrium Strategies and Optimal Control for a Double-Ended Queue[J]. Asia-Pacific Journal of Operational Research,2016,33(3).
APA Ying Shi,&Zhaotong Lian.(2016).Equilibrium Strategies and Optimal Control for a Double-Ended Queue.Asia-Pacific Journal of Operational Research,33(3).
MLA Ying Shi,et al."Equilibrium Strategies and Optimal Control for a Double-Ended Queue".Asia-Pacific Journal of Operational Research 33.3(2016).
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