The Setting and Optimization of Quick Queue

Kai Li, Yuqian Pan (), Bayi Cheng and Bohai Liu
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Kai Li: Hefei University of Technology
Yuqian Pan: Hefei University of Technology
Bayi Cheng: Hefei University of Technology
Bohai Liu: Hefei University of Technology

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 3, No 15, 1014-1026

Abstract: 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.

Keywords: Optimization; Quick queue; Common queue; Peak period; 60K25; 68M20; 90B22 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1333-2

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