Application and analysis for a consecutive-k-out-of-n:G structure

Abstract A consecutive- k -out-of- n :G system consists of an ordered sequence of n components such that the system works whenever at least k consecutive components in the system function. This study elaborates on the concept of consecutive- k -out-of- n:G systems and demonstrates an application of the basic theory of consecutive- k -out-of- n:G systems reliability to a railroad operation. The results can help in scheduling the incoming trains to utilize the station resources better.