Theory of Uncontrollable Flows and Its Application to Analysis and Control of Congestion Phenomenon in Transportation, Communication and Scheduling.

提出了一种新的网络流理论，当两个或多个流叠加时，不允许边缘中的流的取消。它提供了一个讨论拥塞、阻塞流等的一般框架，在一个网络中。我们称这个框架中的流为“不可控流”，因为它们具有自私和顽固用户或紧急情况下的用户在网络中产生的流的一些基本性质。本文的主要目的不是发展“数学”，而是引入一个新的观点，从这个角度来重新审视网络流问题。然而，这样做自然会产生一些有趣的和具有挑战性的数学问题。什么样的实际问题将是不可控流的概念的对偶也简要讨论。

A new type of network flow theory is proposed, where no cancellation of flows in an edge is admitted when two or more flows are superposed. It offers a general framework in which to discuss congestion, blocking flows, etc., in a network. We will call the flows in this framework "uncontrollable flows" because they possess some basic properties of the flows which selfish and stubborn users, or users in emergency situations, generate in a network.The primary aim of this paper is not to develop "mathematics" but to introduce a new viewpoint from which to give another look at network flow problems. However, a number of interesting and challenging mathematical problems naturally arise in so doing.What kind of practical problems will be the dual of the concept of uncontrollable flows is also briefly discussed.