A probabilistic approach to develop a mathematical programming model for redundancy allocation problem in a series-parallel system with selection of type, strategy and discount policy

Nowadays, designing and implementing the systems with premier features and higher reliability is deemed to be a basic principle for the engineers and users, because regarding this point can result in the proper use of a system during its lifetime. In today’s competitive world, offering a system with lower total expense, given that its high reliability is maintained, can make the company popular with the customers. In the current research, regarding the discounts based on the total number of the orders, a compound of components with active redundancy strategy and ready to work is determined, in such a way that the cost of purchasing the components is minimized, besides optimizing the whole system’s reliability.In the research, the probable approach in invention can be defined that two models examined with cost minimization and Reliability maximization aims that they are, respectively, the probable restrictions on the cost and Reliability. With regard to the model’s proper treatment of changes in effective factors proposed in the model, it is concluded that this model is exploitable for optimizing stability in mass production industries where applying the global discount policy leads to some benefits.