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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/68178

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/68178

Title:	Modeling Security-Check Queues
Authors:	陸行 Luh,Hsing Paul Zhang,Zhe George Wang,Chia-Hung
Contributors:	應數系
Keywords:	security inspection level;service capacity;two-stage queue;renewal process approximation;Coxian distribution;quasi-birth-and-death process
Date:	2011.11
Issue Date:	2014-08-05 16:31:16 (UTC+8)
Abstract:	Motivated by the waiting lines between the U.S.–Canadian border crossings, we investigate a security-check system with both security and customer service goals. In such a system, every customer has to be inspected by the first-stage inspector, but only a proportion of customers need to go through the second stage for further inspection. This “further inspection proportion,” affecting both security screening and the system congestion, becomes a key decision variable for the security-check system. Using a stylized two-stage queueing model, we established the convexity of the expected waiting cost function. With such a property, the optimal further inspection proportion can be determined to achieve the balance of the two goals and the service capacities can be classified into “security-favorable,” “security-unfavorable,” or “security-infeasible” categories. A specific capacity category implies if the security and customer service goals are consistent or in conflict. In addition, we have verified that the properties discovered in the stylized model also hold approximately in a more general multiserver setting. Numerical results are presented to demonstrate the accuracy and robustness of the approximations and the practical value of the model.
Relation:	Management Science,57(11),1979-1995
Data Type:	article
DOI link:	http://dx.doi.org/10.1287/mnsc.1110.1399
DOI:	10.1287/mnsc.1110.1399
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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