Existence of invariant series consecutive-k-out-of-n : G systems

Abstract

A consecutive-k-out-of-n:G line has an invariant optimal assignment iff k less than or equal to n less than or equal to 2k. This paper studies a system consisting of consecutive-k(i)-out-of-n(i) :G lines with k(i) less than or equal to n(i) less than or equal to 2k(i), completely characterizes the existence of an invariant optimal assignment.