The Improvement of System Reliability Optimization Model and Finding an Optimal Solution
Subject Areas : Business StrategySeyed-Jafar Sadjadi 1 , Saeed Jafari 2
1 - Department of Industrial Engineering,
Iran University of Science and Technology, Tehran, Iran
2 - Department of Industrial Engineering,
Iran University of Science and Technology, Tehran, Iran
Keywords: Multi-Objective Optimization, Nonlinear Programming, Two-Constraint Model, Keywords: Reliability Series-Parallel System,
Abstract :
When a production facility is designed, there are various parameters affecting the number machines such as production capacity and reliability. It is often a tedious task to optimize different objectives simultaneously. The other issue is the uncertainty in many design parameters which makes it difficult to reach a desirable solution. In this paper, we present a new mathematical model with two objectives. The primary objective function is considered to be the production capacity and the secondary objective function is total reliability. The proposed model is formulated on different units of production which are connected together in serial form and for each unit, we may have various machines. The resulted model is formulated using recent advances of robust optimization and solution procedure is analyzed with some numerical examples.
[1] Bertsimas,D,& Sim,M. (2003). Robust discrete optimization and network flow, Matematical Programing Series B,98,49-71Atilgan, E., Akinici, S. and Aksoy, S. (2003). “Mapping service quality in tourism industry”. Managing Service Quality. Vol. 13, No. 5, pp. 412-422.
[2] Bertsimas, D., M. Sim (2001). The Price of Robustness, Working Paper, Operation Research Center, MIT.
[3] Mulvey, John M.,Robust J.Vanderbi,and Stavros A. Zenios (1995) Robust optimization of larg-scale system,Oper. Res.43,264-281
[4] Soyester, A, L. (1973). Convex programming with set-inclusive constraint and applications to inezact linear programming, Operetions Research, 21, 1154-1175.
[5] Arianezhad, Mir Bahadur Quli, Sajjad Jafar. (2001). Operational Research 2. Tehran, Industrial Management Organization, Consultancy of Training and Research