In this paper, we develop an analytical approach to planning air traffic flow management (TFM) strategies under uncertain weather. To do that, we model the dynamics of an air traffic flow under uncertain weather as a discrete jump-linear system, which enacts the tracking of transient traffic congestion statistics. We then conduct a sensitivity analysis of traffic congestion to disturbances intr...

This paper describes an extension of Duchin’s World Trade Model to include the explicit representation of transportation costs, permitting the endogenous determination of bilateral trade flows and region-specific prices. The original model is a linear program that, based on comparative advantage and the minimization of factor use, determines regional production and trade flows as well as world ...

A general framework for constructing isospectral flows in the space gl(n) of n by n matrices is proposed. Depending upon how gl(n) is split, this framework gives rise to different types of abstract matrix factorizations. When sampled at integer times, these flows naturally define special iterative processes, and each flow is associated with the sequence generated by the corresponding abstract f...

We propose new filtering algorithms for the SEQUENCE constraint and several extensions which are based on network flows. Our propagator for the SEQUENCE constraint enforces domain consistency in O(n) time down a branch of the search tree. This improves upon the best existing domain consistency algorithm by a factor of O(log n). The flows used in these algorithms are derived from a linear progra...

This paper describes the World Trade Model, a linear program that determines world prices, scarcity rents, and international trade flows based on comparative advantage in a world economy with m regions, n goods, and k factors. Major properties of the model are demonstrated, including the sources of the gains from trade for the world as a whole and for individual regions. Preliminary empirical r...