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Physical objects, in practice, are frequently represented by the LTI (Linear Time Invariant) models consisting of linear differential equations with constant coefficients. The LTI models of complex objects often have a large size. Designing a control system or performing a realtime object simulation on large-scale models may not be possible. Model Order Reduction (MOR) is an operation performed to...
In this work, we seek the approximate solution of Fredholm and Volterra integral equations using Lucas polynomials and a given test functions, in order to reduce those equations to a linear system where its solution is to find the Lucas coefficients and thereafter the solution of the equation.The convergence of this method is assured and the error is compared with other methods.
In the real applications the open shop scheduling models often require some additional constraints and adequate models. We concern the restrictions in the open shop scheduling related to an instance of the problem and to a feasible solution. Precisely, we require that each jobs consists of the bounded number of operations and each machine has a bounded load (i.e., the total number of operations executed...