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5. A General Framework of Multi-Armed Bandit Processes by Arm Switch Restrictions

Author

Bao, Wenqing, Cai, Xiaoqiang, and Wu, Xianyi

Subjects
Mathematics - Probability, Computer Science - Machine Learning, Mathematics - Optimization and Control, Statistics - Machine Learning, 90C39, 93E20, 93E35, 49L20
Abstract

This paper proposes a general framework of multi-armed bandit (MAB) processes by introducing a type of restrictions on the switches among arms evolving in continuous time. The Gittins index process is constructed for any single arm subject to the restrictions on switches and then the optimality of the corresponding Gittins index rule is established. The Gittins indices defined in this paper are consistent with the ones for MAB processes in continuous time, integer time, semi-Markovian setting as well as general discrete time setting, so that the new theory covers the classical models as special cases and also applies to many other situations that have not yet been touched in the literature. While the proof of the optimality of Gittins index policies benefits from ideas in the existing theory of MAB processes in continuous time, new techniques are introduced which drastically simplify the proof., Comment: 27 pages, 0 figures

Published
2018
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6. Genetic deconvolution of fetal and maternal cell-free DNA in maternal plasma enables next-generation non-invasive prenatal screening

Author

Xu, Chenming, Li, Jianli, Chen, Songchang, Cai, Xiaoqiang, Jing, Ruilin, Qin, Xiaomei, Pan, Dong, Zhao, Xin, Ma, Dongyang, Xu, Xiufeng, Liu, Xiaojun, Wang, Can, Yang, Bingxin, Zhang, Lanlan, Li, Shuyuan, Chen, Yiyao, Pan, Nina, Tang, Ping, Song, Jieping, Liu, Nian, Zhang, Chen, Zhang, Zhiwei, Qiu, Xiang, Lu, Weiliang, Ying, Chunmei, Li, Xiaotian, Xu, Congjian, Wang, Yanlin, Wu, Yanting, Huang, He-Feng, and Zhang, Jinglan

Published
2022
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25. Replenishment Policy with Limited Price Information.

Author

Zhang, Xiaoyue, Dai, Wenqiang, Cai, Xiaoqiang, and Zhou, Xiaoyu

Subjects
PRICES, INVENTORY costs, INVENTORY theory, FLEXIBLE AC transmission systems
Abstract

In this paper, we seek to provide real-time replenishment policy for a capacitated company that faces an exogenous demand and has to procure and store sufficient quantities of certain items with uncertain procurement prices. The objective is to minimize the total cost of the procuring cost and inventory holding cost without stock out. Motivated by the fact that a large variability in the price process often makes forecasting difficult, in contrast to the traditional approaches of the stochastic inventory theory, we study this problem from the perspective of competitive analysis who is free of any price distribution assumption. We propose an online replenishment model, which generalizes several previous online models. We give a real-time replenishment policy whose decisions are made based entirely on the past and present prices and the current inventory level. We prove that our policy achieves superior performance, and outperforms all of the previous theoretical results. Furthermore, we present the numerical studies to show that our replenishment policy achieves an even better empirical performance. [ABSTRACT FROM AUTHOR]

Published
2023
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43. Unilateral Transforaminal Approach (UTFA) in Percutaneous Vertebroplasty for Osteoporotic Vertebral Compression Fractures: A Novel Puncture Technique

Author

Cai xiaoqiang, wang yefeng, Shen jun, Zou Tian-ming, and Li suoyuan

Subjects
Percutaneous vertebroplasty, medicine.medical_specialty, business.industry, medicine.medical_treatment, medicine, Radiology, Transforaminal approach, Compression (physics), business
Abstract

Background: Percutaneous vertebroplasty (PVP) via various puncture approaches was an effective minimally invasive treatment for osteoporotic vertebral compression fractures (OVCFs). In recent years, unilateral puncture techniques had been increasingly used with advantages of shorter operation time, lower X-ray exposure. The aim of this study was to explore the safety and efficacy of the unilateral transforaminal approach (UTFA) in PVP for the treatment of OVCFs. Methods: A retrospective study was designed to review 155 cases of single-level OVCFs from July 2018 to December 2019. We treated 77 patients with PVP via the UTFA and 78 via the bilateral transpedicular approach (BTPA). Operation time, number of intraoperative fluoroscopic X-rays, volume of bone cement injection and distribution of bone cement were recorded. We used Visual Analog Scale (VAS) score and Oswestry disability index (ODI) presurgery and at 1 day, 3 months and last follow-up after surgery to assess clinical outcomes. Results: The operation was successfully completed in both groups, with no complications of neurovascular injuries or bone cement embolism. UTFA group had significantly shorter operation time and less-frequent fluoroscopy than BTPA group (P < 0.05). There were no significant differences between the two groups in volume or distribution of injected bone cement (P > 0.05). Postoperative VAS scores and ODI of the two groups were significantly improved over their presurgical values (P < 0.05), but there were no significant differences in VAS or ODI at each time point between the two groups (P > 0.05). Conclusions: Both unilateral transforaminal PVP and bilateral transpedicular PVP were safe and effective treatments for OVCFs, but the former approach had the advantages of shorter operation time and less X-ray radiation exposure and therefore is worthy of greater clinical application.

Published
2021
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