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Dynamic Pricing of Preemptive Service for Secondary Demand

机译：二级需求抢占式服务的动态定价

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摘要

Motivated by recent regulatory evolutions that pave the way to secondary spectrum markets, we investigate profit maximization in a loss network that accommodates calls of two classes of users: 1) primary users (PUs) and 2) secondary users (SUs). PUs have preemptive priority over SUs, i.e., when a PU arrives to the system and finds all channels busy, it preempts an SU. We assume that SU demand is sensitive to price whereas PU demand is inelastic. We study the optimal pricing policy of SUs to maximize the average profit by introducing a finite horizon discounted dynamic programming formulation. Our main contribution is to show that the optimal pricing policy depends only on the total number of users, i.e., the total occupancy. We also demonstrate that optimal prices increase with the total occupancy and show that the optimal pricing policy structure of the original system is not preserved for systems with price-sensitive PUs. Finally, we extend the results to non-preemptive loss systems and establish a connection with results obtained for such models in the literature.
机译：受最近监管法规演变为二级频谱市场铺平道路的推动，我们研究了可容纳两类用户呼叫的亏损网络中的利润最大化：1）主要用户（PU）和2）二级用户（SU）。 PU具有相对于SU的抢占优先级，即，当PU到达系统并发现所有信道繁忙时，它将抢占SU。我们假设SU需求对价格敏感，而PU需求没有弹性。我们通过引入有限水平折现动态规划公式来研究SU的最优定价策略，以使平均利润最大化。我们的主要贡献是表明最佳定价策略仅取决于用户总数，即总入住人数。我们还证明了最优价格会随着总占用率的增加而增加，并且表明对于价格敏感的PU系统，未保留原始系统的最优定价策略结构。最后，我们将结果扩展到非先占损失系统，并与文献中针对此类模型获得的结果建立联系。

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