This paper aims to model and determine the service cycle completion time of noncyclic fork-joinqueueing networks with infinite buffer capacity, using max-plus algebra. The finding show that thedynamics of the noncyclic fork-join queuing networks with infinite buffer capacity can be modeledinto a matrix equation over max-plus algebra. We can also show that the service cycle completion timeof queuing networks is a max-plus eigenvalues of the matrix in the equation.slklsklslsllsllllllllllllllllllllll
                        
                        
                        
                        
                            
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