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

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-state availability and profit function are derived using linear first order differential equations. Several cases are analyzed graphically for n = 2, 3, 4, 5 to investigate the effects of various system parameters on availability and profit. The paper also presents graphical comparison for specific values of system parameters and finds that the optimal system configuration is when n = 5.

Cite this paper

Aliyu, M. , Yusuf, I. and Ali, U. (2015) Availability and Profit Optimization of Series-Parallel System with Linear Consecutive Cold Standby Units. Applied Mathematics, 6, 332-344. doi: 10.4236/am.2015.62032.


[1] Hu, l., Yue, D. and Li, J. (2012) Availability Analysis and Design Optimization for a Repairable Series-Parallel System with Dependencies, International Journal of Innovative Computing, Information and Control, 8, 6693-6705.
[2] Khatab, A., Nahas, N. and Nourelfath, M. (2009) Availbilty of K-Out-of-N: G Systems with Non-Identical Components Subject to Repair Priorities. Reliability Engineering & System Safety, 94, 142-151.
[3] Krishnan, R. and Somasundaram, S. (2012) Reliability and Profit Analysis of Repairable K-Out-of-N System with Sensor. European Journal of Scientific Research, 67, 215-222.
[4] Juang, Y.-S., Lin, S.-S. and Kao, H.-P. (2008) A Knowledge Management System for Series-Parallel Availability Optimization and Design. Expert Systems with Applications, 34, 181-193.
[5] Levitin, G. (2002) Optimal Series-Parallel Topology of Multi-State System with Two Failure Modes. Reliability Engineering & System Safety, 77, 93-107.
[6] Li, C.Y., Chen, X., Yi, X.S. and Tao, J.Y. (2010) Heterogeneous Redundancy Optimization for Multi-State Series-Parallel Systems Subject to Common Cause Failures. Reliability Engineering and System Safety, 95, 202-207.
[7] Wang, S. and Wadata, J. (2009) Reliability Optimization of a Series-Parallel System with Fuzzy Random Lifetimes. International Journal of Innovative Computing, Information and Control, 5, 1547-1558.
[8] Wang, K.H. and Chen, Y.J. (2009) Comparative Analysis of Availability between Three Systems with General Repair Times, Reboot Delay and Switching Failures. Applied Mathematics and Computation, 215, 384-394.
[9] Wang, K.-H., Yen, T.-C. and Fang, Y.-C. (2012) Comparison of Availability between Two Systems with Warm Standby Units and Different Imperfect Coverage. Quality Technology and Quantitative Management, 9, 265-282.                        eww150211lx


Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / 更改 )

Twitter picture

You are commenting using your Twitter account. Log Out / 更改 )

Facebook photo

You are commenting using your Facebook account. Log Out / 更改 )

Google+ photo

You are commenting using your Google+ account. Log Out / 更改 )

Connecting to %s