Performance of hot billing mobile prepaid service

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Abstract

Prepaid service has become an important mobile application with rapid growth for subscription rate in the recent years. Implementation of prepaid service may generate large network traffic that significantly affects the performance of a mobile network. This paper studies the hot billing solution for prepaid service. We investigate how the amount of prepaid credit and the frequency of call detail record (CDR) transmissions affect network signaling and potential bad debt that a service provider may bear. Our study suggests that a prepaid service provider should encourage customers to buy large prepaid credits by giving them discounts. Furthermore, based on call traffic, an optimal CDR transmission frequency can be found by using our modeling technique.

Introduction

Prepaid telecommunication services were offered in Europe and Asia in 1982 and became popular in the US in 1992 [1]. During the past few years, the mobile prepaid service has been growing exponentially all over the world. In the US, more than thirty prepaid solution vendors, such as Corsair Communications, Boston Communications Group and Vicorp, are competing for carrier business [13]. Today, more than 100 million prepaid cards have been issued [2], and revenues of more than US $650 million had been generated from the prepaid service in the US by the year 2000. In 1997, there were about 60 million GSM subscribers across the world and 8% of them subscribed to prepaid service. It is predicted that in 2001, the number of GSM subscribers will increase to 140 million and 25% of the customers will subscribe to the prepaid service [15]. Asian countries such as Philippine, Australia, Hong Kong, Singapore and Taiwan have already shown successful examples for prepaid services. For example, Islacom in Philippine launched prepaid service in November 1997 and has a comparable number of prepaid and postpaid customers now [14]. In Australia, Telstra started prepaid service with an initial capacity of 100,000 customers and has exceeded the capacity in early 1999. In Taiwan, FarEastone reported that more than 47% of the customers subscribed to prepaid service in March 1999.

Several factors have contributed to the rapid growth of mobile prepaid service [2]. Firstly, the growth rate of cellular subscribers appears to decrease while the competition among carriers keeps inflaming. The service providers are searching for new ways of increasing revenues, reducing expenses and improving the customer satisfaction. Secondly, as the customer base grows to cover customers with poor credit, providing new services that can minimize or avoid fraud usage is becoming more and more critical today. Mobile prepaid service offers a desirable solution that satisfies the aforementioned requirements.

In the GSM prepaid service, a customer subscribes to the GSM service with a prepaid credit. This credit is either coded into the subscriber identity module (SIM) card or kept in the network [1]. In many areas, the initialization of prepaid services must be completed within a certain number of days after subscription. In Taiwan, prepaid service is available immediately after purchasing the service. Whenever the customer originates a prepaid call, the corresponding payment is decremented from the prepaid credit. Status report of the credit balance can be obtained from the SIM card or the network.

If the balance is depleted, the customer cannot originate calls, but may be allowed to receive phone calls for a period (e.g., 6 months). To recover the prepaid service, the balance needs to be recharged by purchasing a top-up card. The top-up card is like a lottery scratch card. When the seal is scratched off, a secret code appears. The customer dials a toll-free number and follows the instructions of an interactive voice response (IVR) to input the Mobile Station ISDN Number (MSISDN, i.e., the GSM phone number) and the secret code. The system will verify and refresh the account if it is a valid code. On the other hand, if the prepaid balance is not depleted at the end of a valid period, the balance is automatically reset to zero. After a certain amount of time, the unused prepaid credit may be considered abandoned and becomes the government's property.

Four solutions have been proposed to implement the prepaid services: hot billing approach, service node approach, intelligent network approach and handset-based approach [4]. The hot billing and the handset-based approaches provide solutions without major changes to the network infrastructure. Intelligent network solution offers real-time rating and real-time call control, but is not widely deployed today. The service node approach, which utilizes extra voice circuits and switching resources for prepaid calls, provides a variant to the intelligent network solution.

This paper studies the hot billing approach. The other three approaches are out of the scope of this paper. Details of these approaches can be found in [13]. We first describe the hot billing approach. Then, we investigate the performance of this approach by both analytical and simulation models. We assume that the reader is familiar with the GSM terms such as SIM, mobile switching center (MSC), home location register (HLR), authentication center (AuC), MSISDN and international mobile subscriber identity (IMSI). Details of these terms can be found in [6], [9], [11]. For the reader's benefit, Appendix A lists the notations used in this paper.

Section snippets

Hot billing solutions

Hot billing uses the call detail records (CDRs) produced by the wireless switch (i.e., MSC) to process the prepaid usage. The information in a CDR includes the type of service, date/time of usage, user identification and location information [8]. When calls are completed, the CDRs are generated and transported from the MSC to the prepaid service center. The balance of the customer's account is decremented according to the CDRs. As a customer uses up the prepaid credit, the HLR and the AuC are

The analytical model

In this section, we propose an analytical model to study the performance of the hot billing approach. In our model, a CDR is sent from the MSC to the prepaid service center for every m complete prepaid call, where m⩾1. The prepaid service center decrements the customer's credit according to the CDRs received. When a customer's credit becomes negative, the customer is not allowed to make a phone call. We will estimate the number of CDRs transmitted and the amount of potential bad debt.

Let B be

Numerical examples

This section investigates the performance of the hot billing approach based on the analytical model developed in the previous section. Computer simulations have been conducted to validate the analytical results. Each simulation experiment was repeated 500,000 times to ensure stable results.

Table 1, Table 2, Table 3 compare the results of simulation, exact solution and approximation for the large, small prepaid credit and recharged credit cases. To reflect the situation of prepaid service in

Conclusions

This paper studied the hot billing solution for prepaid service. We described the system architecture and the procedures for prepaid service initialization, call origination and credit recharging. An analytical model was proposed to analyze the performance in the large, small prepaid credit and the recharged credit cases. The analytical results were validated by simulation experiments. We observed the following results:

  • If the call pattern of a prepaid customer is very irregular, it is more

Acknowledgements

Lin's work was sponsored in part by the MOE Program of Excellence Research under contract 89-E-FA04-4, CCL/ITRI, FarEastone, National Science Council under contract NSC 89-2213-E-009-203, the Lee and MTI Center for Networking Research, NCTU. Chang's work was sponsored in part by MOE Program of Excellence Research under contract 89-E-FA04-4, and National Science Council under contract NSC 89-2213-E-009-201.

Ming-Feng Chang received his B.S. and M.S. degrees in electrical engineering from the National Taiwan University in 1982 and 1984, respectively, and his Ph.D. degree in computer science from the University of Illinois at Urbana-Champaign in 1991. He is currently an Associate Professor in the Department of Computer Science and Information Engineering, Chiao-Tung University, Taiwan, Republic of China. His research interests include Internet communication, mobile computing and VLSI system design.

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Cited by (8)

Ming-Feng Chang received his B.S. and M.S. degrees in electrical engineering from the National Taiwan University in 1982 and 1984, respectively, and his Ph.D. degree in computer science from the University of Illinois at Urbana-Champaign in 1991. He is currently an Associate Professor in the Department of Computer Science and Information Engineering, Chiao-Tung University, Taiwan, Republic of China. His research interests include Internet communication, mobile computing and VLSI system design.

Yi-Bing Lin received his BSEE degree from the National Cheng Kung University in 1983, and his Ph.D. degree in Computer Science from the University of Washington in 1990. From 1990 to 1995, he was with the Applied Research Area at Bell Communications Research (Bellcore), Morristown, NJ. In 1995, he was appointed as a professor in the Department of Computer Science and Information Engineering (CSIE), National Chiao Tung University (NCTU). In 1996, he was appointed as the Deputy Director of Microelectronics and Information Systems Research Center, NCTU. During 1997–1999, he was elected as Chairman of CSIE, NCTU. His current research interests include design and analysis of personal communications services network, mobile computing, distributed simulation, and performance modeling. Dr. Lin is an associate editor of IEEE Network, an editor of IEEE J-SAC: Wireless Series, an editor of IEEE Personal Communications Magazine, an editor of Computer Networks, an area editor of ACM Mobile Computing and Communication Review, a columnist of ACM Simulation Digest, an editor of International Journal of Communications Systems, an editor of ACM/Baltzer Wireless Networks, an editor of Computer Simulation Modeling and Analysis, an editor of Journal of Information Science and Engineering, Program Chair for the Eighth Workshop on Distributed and Parallel Simulation, General Chair for the Ninth Workshop on Distributed and Parallel Simulation. Program Chair for the Second International Mobile Computing Conference, Guest Editor for the ACM/Baltzer MONET special issue on Personal Communications, a Guest Editor for IEEE Transactions on Computers special issue on Mobile Computing, and a Guest Editor for IEEE Communications Magazine special issue on Active, Programmable, and Mobile Code Networking. Lin is the author of the book Wireless and Mobile Network Architecture (co-author with Imrich Chlamtac; published by Wiley). Lin received 1998 and 2000 Outstanding Research Awards from National Science Council, ROC, and 1998 Outstanding Youth Electrical Engineer Award from CIEE, ROC. Lin is an Adjunct Research Fellow of Academia Sinica. Lin's email address is [email protected].

Wei-Zu Yang received his M.S. degree from the Department of Computer Science and Information Engineering, National Chiao Tung University in 1992. He is currently a Ph.D. candidate in the Chiao Tung University. His research interests include performance modeling of PCS and ATM networks.

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