An efficient method for non linearly constrained networks
Article Abstract:
An algorithm is designed that permits the solving of large-scale nonlinear problems with network constraints, and linear and nonlinear side constraints. This algorithm uses variable reduction techniques together with partial augmented Lagrangian methods to relax the side constraints, where a combination of superlinear and first order methods is used to estimate the multiples of the side constraints. The LBFGS estimate of the side constraints multipliers is a better alternative to the BFGS estimate, which is difficult to use due to memory limitations. Experimental results indicate that the PFNRN04 code, when compared to others, is more efficient and more robust.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 2005
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On the use of the complexity index as a measure of complexity in activity networks
Article Abstract:
The relation between problem instance hardness and underlying network logic is analyzed. The instances of resource-constrained project scheduling problem solved by the branch-and-bound procedure developed by Demeulemeester and Herroelen (1992) are examined. Results show a positive correlation between the coefficient of network complexity and the complexity index. Data also indicate that the number of feasible parallel paths decreases as the network topology becomes more complex.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1996
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Human migration networks
Article Abstract:
A new multiclass human migration network equilibrium model is developed. The model incorporates the cost of movement between locations and equilibrium conditions reflecting the absence of individual incentive to relocate. The equilibrium conditions are expressed as a variational inequality problem characterized by linear, separable utility and movement cost functions that can be solved using a decomposition algorithm.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1992
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