An Improved Membrane Algorithm for Solving Time-Frequency Atom Decomposition

Solving railway line planning problems using a decomposition algorithm

The passenger line planning is a process of strategic long-term decision-making problem in the field of railway passenger planning. A line is a route between starting point and destination with certain stops, which has a certain frequency of train schedule. A new solution based on decomposition algorithm has been proposed in this paper, which is defined in a master problem and two sub problems....

Application of Composite Dictionary Multi-Atom Matching in Gear Fault Diagnosis

The sparse decomposition based on matching pursuit is an adaptive sparse expression method for signals. This paper proposes an idea concerning a composite dictionary multi-atom matching decomposition and reconstruction algorithm, and the introduction of threshold de-noising in the reconstruction algorithm. Based on the structural characteristics of gear fault signals, a composite dictionary com...

Improved teaching–learning-based and JAYA optimization algorithms for solving flexible flow shop scheduling problems

Flexible flow shop (or a hybrid flow shop) scheduling problem is an extension of classical flow shop scheduling problem. In a simple flow shop configuration, a job having ‘g’ operations is performed on ‘g’ operation centres (stages) with each stage having only one machine. If any stage contains more than one machine for providing alternate processing facility, then the problem...

On the Laplace transform decomposition algorithm for solving nonlinear differential equations

A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition ‎method‎

‎‎In this article‎, ‎a new method is introduced to give approximate solution to Van der Pol equation‎. ‎The proposed method is based on the combination of two different methods‎, ‎the spectral Adomian decomposition method (SADM) and piecewise method‎, ‎called the piecewise Adomian decomposition method (PSADM)‎. ‎The numerical results obtained from the proposed method show that this method is an...