Approximation of Pareto optima in multiple-objective, shortest-path problems
Operations Research
Approximation schemes for the restricted shortest path problem
Mathematics of Operations Research
A D. C. Optimization Algorithm for Solving the Trust-Region Subproblem
SIAM Journal on Optimization
Concepts of exact QoS routing algorithms
IEEE/ACM Transactions on Networking (TON)
Conditions that impact the complexity of QoS routing
IEEE/ACM Transactions on Networking (TON)
On the complexity of QoS routing
Computer Communications
An overview of constraint-based path selection algorithms for QoS routing
IEEE Communications Magazine
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The Quality of Service (QoS) routing emphasizes to find paths from source to destination satisfying the QoS requirements. In this paper, we consider the five problems in QoS Routing called the MCP (Multi-Constrained Path) and the MCOP (Multi-Constrained Optimal Path). They are all NP-hard problems. We first formulate them as Binary Integer Linear Programs (BILP) and then investigate a new solution method based on DC (Difference of Convex functions) programming and DCA (DC Algorithms). Preliminary numerical results show that the proposed algorithm is promising: it is more robust than CPLEX, the best solver for BILP.