Real-time operational planning for the U. S. air traffic system
Applied Numerical Mathematics - Applications of optimization
Nonlinear network programming on vector supercomputers: A study on the CRAY X-MP
Operations Research
Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming
ACM Transactions on Mathematical Software (TOMS)
A Reduced Gradient Algorithm for Nonlinear Network Problems
ACM Transactions on Mathematical Software (TOMS)
Algorithms for Network Programming
Algorithms for Network Programming
The connection machines CM-1 and CM-2: solving nonlinear network problems
ICS '88 Proceedings of the 2nd international conference on Supercomputing
Integrating network optimization capabilities into a high-level modeling language
ACM Transactions on Mathematical Software (TOMS)
LSNNO, a FORTRAN subroutine for solving large-scale nonlinear network optimization problems
ACM Transactions on Mathematical Software (TOMS)
Journal of Optimization Theory and Applications
Modeling diminishing returns in project resource planning
Computers and Industrial Engineering
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We describe a specialization of the primal truncated Newton algorithm for solving nonlinear optimization problems on networks with gains. The algorithm and its implementation are able to capitalize on the special structure of the constraints. Extensive computational tests show that the algorithm is capable of solving very large problems. Testing of numerous tactical issues are described, including maximal basis, projected line search, and pivot strategies. Comparisons with NLPNET, a nonlinear network code, and MINOS, a general-purpose nonlinear programming code, are also included.