We develop an optimization model to provide a fair allocation of multiple resources to multiple users. All resources might not be suitable to all users. We develop a notion of fairness, and then provide a general class of functions achieving it. Next, we develop more restricted notions of fairness—special cases of which exist in literature. Finally, we distinguish between scarce and abundant resources, and show that if a resource is abundant, all users seeking it achieve the maximum possible coverage.

中文翻译：

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分配稀缺资源的公平标准

我们开发了一种优化模型，可以向多个用户公平分配多种资源。所有资源可能并不适合所有用户。我们提出了公平的概念，然后提供了实现它的一般功能。接下来，我们提出更多关于公平的受限制的概念-文献中存在特殊情况。最后，我们区分稀缺资源和丰富资源，并表明如果资源丰富，则所有寻求该资源的用户都将获得最大的覆盖范围。