限额内共享：损失系统中的部分资源池
Sharing within limits: Partial resource pooling in loss systems
摘要：
昂贵资源的碎片化，例如，提供商之间的用于无线服务的频谱可能导致资源利用效率低下，并使整个系统性能恶化。在这种情况下，可以使用独立服务提供者之间的资源池来提高性能。然而，要使提供者同意汇集其资源，这种安排必须是互利的。传统的资源池概念意味着完全共享，它不需要具有这种属性。例如，在全额联营的情况下，其中一个供应商的情况可能更糟，因此没有参与的动机。在本文中，我们提出了部分资源共享模型作为全面池化的推广，它可以被配置为有利于所有参与者。我们正式定义和分析了两个服务提供者之间的部分共享模型，每个模型都是一个以阻塞概率为性能度量的Erlang-B损失系统。我们表明，总是存在部分共享配置，这是有益的两个供应商，无论负载和电路的数量的每个供应商。一个关键的结果是，帕累托边界至少有一个供应商与另一个共享其所有资源。此外，完全池化可能不在这个帕累托集合内。基于讨价还价理论，形式化了Pareto集合内共享配置的选择。最后，在质量效率驱动的制度的阻塞概率的大系统近似。
英文摘要：
Fragmentation of expensive resources, e.g., spectrum for wireless services, between providers can introduce inefficiencies in resource utilisation and worsen overall system performance. In such cases, resource pooling between independent service providers can be used to improve performance. However, for providers to agree to pool their resources, the arrangement has to be mutually beneficial. The traditional notion of resource pooling, which implies complete sharing, need not have this property. For example, under full pooling, one of the providers may be worse off and hence have no incentive to participate. In this paper, we propose partial resource sharing models as a generalization of full pooling, which can be configured to be beneficial to all participants. We formally define and analyze two partial sharing models between two service providers, each of which is an Erlang-B loss system with the blocking probabilities as the performance measure. We show that there always exist partial sharing configurations that are beneficial to both providers, irrespective of the load and the number of circuits of each of the providers. A key result is that the Pareto frontier has at least one of the providers sharing all its resources with the other. Furthermore, full pooling may not lie inside this Pareto set. The choice of the sharing configurations within the Pareto set is formalized based on bargaining theory. Finally, large system approximations of the blocking probabilities in the quality-efficiency-driven regime are presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
