Integer and combinatorial optimization
Integer and combinatorial optimization
SIAM Journal on Discrete Mathematics
Designing tributary networks with multiple ring families
Computers and Operations Research
Fiber Network Service Survivability
Fiber Network Service Survivability
An Efficient Algorithm for the Ring Loading Problem with Integer Demand Splitting
SIAM Journal on Discrete Mathematics
Design of Stacked Self-Healing Rings Using a Genetic Algorithm
Journal of Heuristics
Optimal Placement of Add/Drop Multiplexers: Heuristic and Exact Algorithms
Operations Research
Topological network design for SONET ring architecture
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Application, design, and evolution of WDM in GTS's pan-European transport network
IEEE Communications Magazine
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In this paper, we consider a network design problem of stacking multiple bi-directional self-healing-rings (BSHRs) on a given physical conduit ring in order to meet given demand requirements. The objective is then to find a cost-minimizing solution which not only specifies how many and what kinds of BSHR rings to install, but also indicates how to split the demand requirements among the installed BSHRs. The problem has been formulated as an IP model and then reformulated to a set-partitioning model via the column generation approach. An iterative solution method of alternating between two phases of generating and fixing columns was developed and tested with three different demand patterns. Computational experience gained from a total of more than 100 test runs for each demand pattern strongly supports the real-world applicability of the proposed model and the solution method.