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The Setting and Optimization of Quick Queue

Author

Listed:
  • Kai Li

    (Hefei University of Technology
    Ministry of Education)

  • Yuqian Pan

    (Hefei University of Technology)

  • Bayi Cheng

    (Hefei University of Technology
    Ministry of Education)

  • Bohai Liu

    (Hefei University of Technology
    Hefei University of Technology)

Abstract

Considering that customer arrival is a peak and post-peak period, we establish a fluid model of queuing behavior. In order to reduce the sum of waiting time of customers, we study the method of the setting and optimization of quick queue in a random service system. Under the premise of the total number of service equipment, we construct two queuing models, with one including only common queues and the other including both common and quick queues and propose the formulas for calculating the sum of the waiting time of the two models. In the two cases of peak and post-peak periods, we analyze the effect of quick queue on service system performance. And we present the method for calculating the number of quick queues that gives the best overall system performance. Taking the quick queue setting and optimization of the supermarket service system as an example, we verify the validity of the proposed method, which indicates the reference value of the method to the management practice.

Suggested Citation

  • Kai Li & Yuqian Pan & Bayi Cheng & Bohai Liu, 2018. "The Setting and Optimization of Quick Queue," Journal of Optimization Theory and Applications, Springer, vol. 178(3), pages 1014-1026, September.
    • Handle: RePEc:spr:joptap:v:178:y:2018:i:3:d:10.1007_s10957-018-1333-2
    DOI: 10.1007/s10957-018-1333-2
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    References listed on IDEAS

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    1. Wang, Haiyan & Olsen, Tava Lennon & Liu, Guiqing, 2018. "Service capacity competition with peak arrivals and delay sensitive customers," Omega, Elsevier, vol. 77(C), pages 80-95.
    2. Stephen C. Graves, 1982. "The Application of Queueing Theory to Continuous Perishable Inventory Systems," Management Science, INFORMS, vol. 28(4), pages 400-406, April.
    3. John D. Lees-Miller, 2016. "Minimising average passenger waiting time in personal rapid transit systems," Annals of Operations Research, Springer, vol. 236(2), pages 405-424, January.
    4. Ni, Guanqun & Xu, Yinfeng & Dong, Yucheng, 2013. "Price and speed decisions in customer-intensive services with two classes of customers," European Journal of Operational Research, Elsevier, vol. 228(2), pages 427-436.
    5. Hilal Al Hamadi & N. Sangeetha & B. Sivakumar, 2015. "Optimal control of service parameter for a perishable inventory system maintained at service facility with impatient customers," Annals of Operations Research, Springer, vol. 233(1), pages 3-23, October.
    6. Krishnan S. Anand & M. Faz{i}l Paç & Senthil Veeraraghavan, 2011. "Quality-Speed Conundrum: Trade-offs in Customer-Intensive Services," Management Science, INFORMS, vol. 57(1), pages 40-56, January.
    7. John Lees-Miller, 2016. "Minimising average passenger waiting time in personal rapid transit systems," Annals of Operations Research, Springer, vol. 236(2), pages 405-424, January.
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