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Full-Text Articles in Physical Sciences and Mathematics
On The Accuracy And Stability Of A Variety Of Differential Quadrature Formulations For The Vibration Analysis Of Beams, C. H. W. Ng, Yibao Zhao, Y. Xiang, G. W. Wei
On The Accuracy And Stability Of A Variety Of Differential Quadrature Formulations For The Vibration Analysis Of Beams, C. H. W. Ng, Yibao Zhao, Y. Xiang, G. W. Wei
Research Collection Lee Kong Chian School Of Business
The occurrence of spurious complex eigenvalues is a serious stability problem in many differential quadrature methods (DQMs). This paper studies the accuracy and stability of a variety of different differential quadrature formulations. Special emphasis is given to two local DQMs. One utilizes both fictitious grids and banded matrices, called local adaptive differential quadrature method (LaDQM). The other has banded matrices without using fictitious grids to facilitate boundary conditions, called finite difference differential quadrature methods (FDDQMs). These local DQMs include the classic DQMs as special cases given by extending their banded matrices to full matrices. LaDQMs and FDDQMs are implemented on …
A Hybrid Scatter Search For The Discrete Time/Resource Trade-Off Problem In Project Scheduling, Mohammad Ranbar, Bert De Reyck, Fereydoon Kianfar
A Hybrid Scatter Search For The Discrete Time/Resource Trade-Off Problem In Project Scheduling, Mohammad Ranbar, Bert De Reyck, Fereydoon Kianfar
Research Collection Lee Kong Chian School Of Business
We develop a heuristic procedure for solving the discrete time/resource trade-off problem in the field of project scheduling. In this problem, a project contains activities interrelated by finish-start-type precedence constraints with a time lag of zero, which require one or more constrained renewable resources. Each activity has a specified work content and can be performed in different modes, i.e. with different durations and resource requirements, as long as the required work content is met. The objective is to schedule each activity in one of its modes in order to minimize the project makespan. We use a scatter search algorithm to …