Availability and Profit Optimization of Series-Parallel System with Linear Consecutive Cold Standby Units
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53893#.VNr6mCzQrzE Author(s) Muhammad Sagir Aliyu 1 , Ibrahim Yusuf 2 , U. A. Ali 1 Affiliation(s) 1 Department of Mathematics, Usmanu Dan Fodio University, Sokoto, Nigeria . 2 Department of Mathematical Sciences, Bayero University, Kano, Nigeria . ABSTRACT In this paper, we study availability and profit optimization of a series-parallel system consisting of three subsystems A , B and C in which A and B are cold standby. Subsystem A consists of linear consecutive k -out-of- n units while subsystems B and C consist of a single unit each. The system works if any of A or B and C work. The objective of this study is to maximize the steady-state availability and profit. To solve the optimization problem, different numbers of units for n = 2, 3, 4, 5 in subsystem A are considered. Explicit expressions for busy period of repairmen, steady-st...