A Hybrid Optimization Approach For the Steiner k-Connected Network Design Problem

2018 ◽  
Vol 64 ◽  
pp. 305-314
Author(s):  
Ibrahima Diarrassouba ◽  
Mohamed Khalil Labidi ◽  
Ali Ridha Mahjoub
Keyword(s):  
Network Design ◽  
Design Problem ◽  
Network Design Problem ◽  
Hybrid Optimization ◽  
Optimization Approach ◽  
Connected Network

scholarly journals Dynamic Network Design Problem under Demand Uncertainty: An Adjustable Robust Optimization Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-16 ◽  
Author(s):  
Hua Sun ◽  
Ziyou Gao ◽  
Fangxia Zhao
Keyword(s):  
Linear Programming ◽  
Robust Optimization ◽  
Network Design ◽  
Design Problem ◽  
Demand Uncertainty ◽  
Network Design Problem ◽  
Transmission Model ◽  
Optimization Approach ◽  
Robust Network Design ◽  
Adjustable Robust Optimization

This paper develops an adjustable robust optimization approach for a network design problem explicitly incorporating traffic dynamics and demand uncertainty. In particular, a cell transmission model based network design problem of linear programming type is considered to describe dynamic traffic flows, and a polyhedral uncertainty set is used to characterize the demand uncertainty. The major contribution of this paper is to formulate such an adjustable robust network design problem as a tractable linear programming model and justify the model which is less conservative by comparing its solution performance with the robust solution from the usual robust model. The numerical results using one network from the literature demonstrate the modeling advantage of the adjustable robust optimization and provided strategic managerial insights for enacting capacity expansion policies under demand uncertainty.

Algorithms for a network design problem with crossing supermodular demands

Networks ◽  
2004 ◽  
Vol 43 (4) ◽  
pp. 256-265 ◽  
Author(s):  
Vardges Melkonian ◽  
�va Tardos
Keyword(s):  
Network Design ◽  
Design Problem ◽  
Network Design Problem
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