Abstract: A method for managing data transmissions includes: receiving data transmission requests; and determining which requests to accept such that a constraint of a network communication pathway is not exceeded, by: selecting a set of requests based on value densities, determining a first non-selected request that doesn't exceed a residual amount, determining whether a second non-selected request exists for which: (1) its value density is greater than a combined value density of the first non-selected request and a request of the selected requests that has a lowest value density, and (2) its demand is the largest among non-selected requests meeting requirement (1) that is no larger than a sum of the residual amount and a demand of a lowest value density selected request, and if it exists, replacing the lowest value density selected request with the second non-selected request and, if not, include the first non-selected request as a selected request.

Abstract: A method for managing data transmissions includes: receiving data transmission requests; and determining which requests to accept such that a constraint of a network communication pathway is not exceeded, by: selecting a set of requests based on value densities, determining a first non-selected request that doesn't exceed a residual amount, determining whether a second non-selected request exists for which: (1) its value density is greater than a combined value density of the first non-selected request and a request of the selected requests that has a lowest value density, and (2) its demand is the largest among non-selected requests meeting requirement (1) that is no larger than a sum of the residual amount and a demand of a lowest value density selected request, and if it exists, replacing the lowest value density selected request with the second non-selected request and, if not, include the first non-selected request as a selected request.