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Apparel distribution with uncertain try-on time by evolutionary algorithm

Zhi-Hua Hu (Logistics Research Center, Shanghai Maritime University, Shanghai, China.)
Chen Wei (Logistics Research Center, Shanghai Maritime University, Shanghai, China.)
Xiao-Kun Yu (College of Fashion, Donghua University, Shanghai, China.)

International Journal of Clothing Science and Technology

ISSN: 0955-6222

Article publication date: 2 March 2015




The purpose of this paper is to study the problem of a routing problem with uncertain try-on service time (VRPUS) for apparel distribution, and to devise solution strategies coping with the uncertainty by an evolutionary algorithm. VRPUS belongs to the category of practical routing models integrated with uncertain service times. However, in the background of apparel distribution, it has distinct features. The try-on service will improve the customer satisfaction by providing experiences to customers; the return cost is saved; the customer loyalty is improved for experiencing face-to-face try-on services. However, the uncertainty of try-on service time makes the apparel distribution process uncertain and incurs additional risk management cost, such that the logistics companies should optimally make decisions on the choice of the service and the service processes.


This paper devised a mixed-integer programming (MIP) model for the base vehicle routing problem (VRP) and then it is extended to support the solution strategies for uncertain try-on times. A try-on time estimation parameter and a time reservation parameter are used to cope with the uncertain try-on time, and the try-on rejection strategy is applied when the uncertain try-on time is realized at customer and no surplus time can be used for try-on service besides distributing to remainder customers. Due to the computational complexity of VRPUS, an evolutionary algorithm is designed for solving it. These parameters and strategy options are designed for the operational decisions by logistics companies. Finally, a decision support system (DSS) is designed.


Five experimental scenarios are performed to reveal the impacts of parameters and solution strategies coping with uncertain try-on time on the distribution cost, return cost, and the try-on service failure. The tuning methods are designed to assist the decisions by logistics companies.


A new routing problem is addressed for apparel distribution in fashion industry especially in the context of booming apparel e-commerce, which is a VRP with uncertain try-on service time for apparel distribution; three strategies are developed to cope with the try-on time uncertainty. The proposed method is also a theoretical base for designing a practical DSS for logistics companies to provide try-on service to customers.



This study is partially supported by the National Nature Science of China (71101088, 71171129, 71390521, 71471109), the Science Foundation of Ministry of Education of China and Shanghai (20113121120002, 14YZ100, 13SG48, 20123121110004), the Science and Technology Commission of Shanghai (12ZR1412800, 12510501600), and the Graduate Innovation Foundation of Shanghai Maritime University (2014ycx012).


Hu, Z.-H., Wei, C. and Yu, X.-K. (2015), "Apparel distribution with uncertain try-on time by evolutionary algorithm", International Journal of Clothing Science and Technology, Vol. 27 No. 1, pp. 75-90.



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