Abstract We are concerned with computing bid prices in network revenue management using approximate linear programming. It is well-known that affine value function approximations yield which not sensitive to remaining capacity. The analytic reduction compact programs allows the efficient computation of such prices. On other hand, capacity-dependent can be obtained separable piecewise approximat...

Szekeley observed that the dynamic pattern of the locomotion of salamanders can be explained by periodic vector sequences generated by logical neural networks. Such sequences can mathematically be described by “doubly periodic traveling waves” and therefore it is of interest to propose dynamic models that may produce such waves. One such dynamic network model is built here based on reaction-dif...

The balance between the supply and demand of some kind of resource is critical for the functionality and security of many complex networks. Local contingencies that break this balance can cause a global collapse. These contingencies are usually dealt with by spare capacity, which is costly especially when the network capacity (the total amount of the resource generated/consumed in the network) ...