Online and Offline Model for Housekeeping Order Assignment Based on Dynamic Programming Algorithm

Author:

Shi Yongkun1,Li Jiangkuan2,Sun Jiaquan1,Lu Cunhao3ORCID,Chen Jian3ORCID,Sun Xiaoguang45

Affiliation:

1. College of Electrical, Energy and Power Engineering, Yangzhou University, Huayang West Road 196, Yangzhou 225127, China

2. School of Information Engineering (School of Artificial Intelligence), Yangzhou University, Huayang West Road 196, Yangzhou 225127, China

3. School of Mechanical Engineering, Yangzhou University, Huayang West Road 196, Yangzhou 225127, China

4. Guangdong International Cooperation Base of Science and Technology for GBA Smart Logistics, Jinan University, Zhuhai 519070, China

5. School of Intelligent Systems Science and Engineering, Jinan University, Zhuhai 519070, China

Abstract

With the booming development of door-to-door housekeeping service, the platform faces the problem of order assignment. Improving the matching mechanism between orders and housekeepers based on a dynamic programming (DP) algorithm can not only achieve flexible order allocation but can also improve the service efficiency and service quality. In this paper, a single objective nonlinear programming model is established, which takes the maximum total weight value as the objective function to study the order allocation problem under offline and online conditions. Under the offline condition, the number of housekeepers is taken as the decision variable. The status of order and housekeeper, order time, and action trajectory are taken as constraints. For online assignment, the order backlog status is treated as the decision variable. The reliability of the model was verified using real data from 20 groups of housekeepers and 50 groups of orders. Finally, the effect of order backlog on online allocation is discussed and the optimal threshold and maximum weight are found. The online order assignment model is compared with the nearest distance assignment model. The results show that the online assignment model with a total weighted score of 1045.14 is better than the nearest distance assignment model with a score of 810.25.

Funder

the National Natural Science Foundation of China

the Natural Science Foundation of Jiangsu Province

the Undergraduate Education Reform Project of Yangzhou University

the Shuangchuang Program of Jiangsu Province of China

Publisher

MDPI AG

Reference47 articles.

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5. Bradley, S.P., Hax, A.C., and Magnanti, T.L. (1977). Applied Mathematical Programming, Addison-Wesley Publishing Company.

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