###### Abstract
Mobile Internet service is fast becoming an integral part of people's daily life and is used through various kinds of applications, including mobile videos, file transferring, social network services, etc. Most people already consider mobile Internet service as a necessity. In contrast to spending too much for mere access to mobile networks, people are more willing to pay for a high connection speed. This is where connection-speed-restriction pricing comes into play. Under connection-speed-restriction pricing, data usage is unlimited for users. However, when a user's data usage exceeds a threshold in a billing period, her/his connection speed will be decreased. Throughout the rest of the current billing period, she/he can continue using mobile Internet, but at the restricted speed. To re-obtain full-speed mobile Internet service, the user needs to buy the supplementary data package or wait until the beginning of the next billing period. In contrast to flat-rate pricing and metered pricing, connection-speed-restriction pricing considers the connection speed, which is the focus for customer experience. In practice, connection-speed-restriction pricing plays an increasingly important role in mobile Internet pricing. A study conducted on North American mobile service providers showed that the percentage of data plans offered under connection-speed-restriction pricing had grown from 39% in September 2016 to 66% in August 2018 [1]. In the arriving era of 5G, connection speed can reach up to 1 Gb/s, which is much faster than the speed of the 4G network. Hence, mobile service providers will have a strong motivation to employ connection-speed-restriction pricing in the 5G era. Technically, the restriction of a user's connection speed is achieved by shifting her/his data connection from a high-generation network to a low-generation network. For example, if a service provider uses a 5G network to provide full-speed data service, the restriction of a user's connection speed can be achieved by shifting his/her data connection from a 5G network to a 3G network or even a 2G network. Most importantly, a 5G connection provides much higher connection speed than a 3G connection. According to Qualcomm's experiment, a 5G connection provides over 100 times faster speed on average than a 3G connection. This fact provides valuable insight into demand management while considering network congestion. On the one hand, if too many customers buy the supplementary data package to use full-speed data service in the high-generation network, then the mobile network is highly prone to congestion. On the other hand, if too many customers do not buy the supplementary data package, then the service provider wastes the network capacity and loses potential revenue. Therefore, how can a wireless service provider manage demand and maximize revenue under connection-speed-restriction pricing? We explore this issue in our paper. Based on connection-speed-restriction pricing, we propose a dynamic plan control method. With this method, a wireless service provider can dynamically control which data plans are open and which data plans are closed for new customers at the beginning of each period. Here, each period refers to one month, one quarter, or another time dimension according to the service provider's state of operation. In each period, new customers can only subscribe to one of the open data plans. The close of a plan only prevents new customers from subscribing to it during a certain period, while old customers of this plan can still use and pay for it during this period. Therefore, the service provider can take the limited network capacity into consideration and maximize revenue in the long term by this dynamic plan control method. At the same time, customer experience is ensured, and supply chain performance is enhanced. Our study has three contributions. First, we take the limited network capacity into consideration and build a dynamic plan control model.