Multicast Routing Problem with QoS Constraints is an NP-Complete Problem

The multicast routing problem with QoS (Quality of Service) constraints is classified as NP-complete. The genetic simulated annealing algorithm, which integrates genetic algorithms and simulated annealing algorithms, provides a viable solution approach for this class of problems. This hybrid method combines evolutionary operations with temperature-controlled search mechanisms to efficiently navigate complex solution spaces.

QoS-Constrained Multicast Routing Problem: Algorithm and Implementation Approaches

The multicast routing problem with QoS constraints is an NP-complete problem requiring sophisticated computational solutions. The genetic simulated annealing algorithm, which integrates genetic algorithms with simulated annealing techniques, provides an effective approach for solving this complex optimization challenge through population-based evolutionary operations and temperature-controlled probabilistic acceptance mechanisms.

Multicast Routing Genetic Simulated Annealing Algorithm

MCRGSA------Genetic Simulated Annealing Algorithm for Multicast Routing Problem %M-----------Number of evolutionary generations in genetic algorithm %N-----------Population size (must be even number) %Pm----------Mutation probability adjustment parameter %K-----------Number of state transitions at same temperature %t0----------Initial temperature parameter %alpha-------Temperature reduction coefficient %beta--------Concentration balance coefficient %ROUTES------Candidate path set %Num---------Number of candidate paths to each node %Cost--------Cost adjacency matrix for network topology %Source------Source node identifier %End---------Destination nodes vector