The revenue of wireless service providers (WSPs) relies on their ability to efficiently satisfy the variable demands from end users (EUs). However, emerging video services create new risks owing to the diverse content requirements of heterogeneous EUs operating in uncertain markets. It is challenging as the risks created by demands and prices are highly uncertain. In this work, a risk problem of high revenues is studied in which multiple video content items with different prices are broadcast to wireless EUs. The video content prices differ in their value functions in terms of popularity, ratings, and types. The objective is to maximize the revenue of WSPs under a certain Value-at-Risk (VaR) by adjusting the content prices and allocation of bandwidth resources. Furthermore, a VaR-based optimization framework for wireless video broadcasting systems is presented. First, the content characteristics are analyzed, and a copula model is then used to build the content value structure. The copula of a multivariate distribution corresponds to the description of the price-dependent structure. Second, a risk analysis for the effects of price fluctuations on revenues caused by uncertainty is conducted. A VaR model is associated with changes in the prices and allocated rates. Copulas are used to derive a bound on the VaR for functions of dependent risks. Subsequently, detailed representations are provided to identify the distributional bounds for revenue functions of dependent risks. Lastly, a VaR-based framework that optimizes pricing and bandwidth provision is presented. For the solution, the risk regions of WSPs are modeled as polymatroidal structures to minimize the risk caused by different service demands and variable market prices. Experiments on different price markets demonstrated that the proposed method is effective, thereby verifying the feasibility of the proposed method.

中文翻译：

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收入驱动型无线视频广播系统的风险优化：基于 Copula 的框架

无线服务提供商 (WSP) 的收入依赖于他们有效满足最终用户 (EU) 可变需求的能力。然而，由于在不确定市场中运营的异构欧盟的内容要求多种多样，新兴的视频服务会带来新的风险。由于需求和价格造成的风险高度不确定，因此具有挑战性。在这项工作中，研究了高收入的风险问题，其中向无线 EU 广播多个具有不同价格的视频内容项目。视频内容的价格在其受欢迎程度，分级和类型方面具有不同的价值功能。目的是通过调整内容价格和带宽资源分配，在一定的风险价值（VaR）下最大化WSP的收入。此外，提出了一种基于 VaR 的无线视频广播系统优化框架。首先分析内容特征，然后使用copula模型构建内容价值结构。多元分布的 copula 对应于价格相关结构的描述。其次，对不确定性导致的价格波动对收入的影响进行风险分析。VaR 模型与价格和分配费率的变化相关联。Copulas 用于推导出相关风险函数的 VaR 的界限。随后，提供了详细的表示来确定相关风险的收入函数的分布范围。最后，提出了一个基于 VaR 的框架，可以优化定价和带宽供应。对于解决方案，WSP 的风险区域被建模为多矩阵结构，以最大限度地减少由不同服务需求和可变市场价格引起的风险。在不同价格市场上的实验证明了所提出的方法是有效的，从而验证了所提出方法的可行性。