On System Reliability of Increasing multi-state linear k-within-(m,s)-of-(m,n):F lattice system

Notations m,s,n,k,pj system parameters. N = n – s + 1. H highest state for the system and components. kj minimum number of components that must be in state less than j in the sub matrix of the size m×s, j = 1 , 2, ..., H. kj minimum number of components that must be in state greater than or equal j in the sub matrix of the size m×s, j = 1 , 2, ..., H; kj = (m×s)-kj+1. k a vector of kj-s. kj a vector of kj-s. δ j number of components that are in state less than j inside