Title: |
Fractional Integrals of Fractional Trigonometric Functions and Their Applications
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Authors: |
Chii-Huei Yu |
Source: |
International Journal of Latest Engineering Research and Applications, pp 01 - 06, Vol 07 - No. 05, 2022 |
Abstract: |
In this paper, we obtain some fractional integral formulas of six fractional trigonometric functions. These formulas are generalizations of those in traditional calculus. The main methods used in this paper are the chain rule for fractional derivatives and the integration by parts for fractional calculus. A new multiplication and Jumarie type of fractional calculus play important roles in this article. Moreover, we give some examples to illustrate the applications of these formulas. |
Keywords: |
Fractional integral formulas, fractional trigonometric functions, chain rule for fractional derivatives, integration by parts for fractional calculus, new multiplication, Jumarie type of fractional calculus |
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Title: |
Research on the estimated area multiple regression model for the illegal building in Taichung City
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Authors: |
Yung-Ching Lee., T.Y, Chou., C.Y, Mu., C.T, Wang |
Source: |
International Journal of Latest Engineering Research and Applications, pp 07 - 14, Vol 07 - No. 05, 2022 |
Abstract: |
Illegal buildings are a common phenomenon in the process of urbanization. The area of illicit buildings is affected by various factors, which will also affect the future formulation of urban development policies. Therefore, it is essential to grasp the patterns affecting the area of illegal buildings. This study collected about 80,000 illicit buildings in Taichung City from 2001 to 2018 and found 13 factors that affect the size of illegal buildings from relevant literature. Use the data from 2001 to 2011 to carry out a stepwise regression (Stepwise Regression), establish a multiple regression model to estimate the area of illegal buildings in Taichung City, and after passing the model verification (Test) use the data from 2012 to 2018. , using two methods (R square and RMSLE) to verify the model, R square=0.637>0.5, RMSLE (Root Mean Squared Logarithmic Error)=0.224 <1, the results show that the establishment of this research institute has passed the verification, which provides future research for urban managers. An essential tool for urban development policy. |
Keywords: |
illegal buildings、urbanization、stepwise regression、nonlinear multiple regression model |
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Title: |
Small World Optimization Algorithm for Solving Multi-Objective U-Shaped Sequence-Dependent Disassembly Line Balancing Problem
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Authors: |
Pengfei Yao, Surendra M. Gupta |
Source: |
International Journal of Latest Engineering Research and Applications, pp 15 - 28, Vol 07 - No. 05, 2022 |
Abstract: |
Economic development and societal advancement have greatly led to the development of manufacturing and product diversification. While all aspects of development are beneficial to the society, they also magnify the waste problem which has been getting serious attention during the last three decades. Vast amounts of end-of-life (EOL) products created due to these events cannot be solved by simply landfilling or by dealing using other outdated ways. Product recovery is one of the most efficient and effective methods to deal with EOL products. One widely used option in product recovery is remanufacturing. Disassembly is the first and one of the most crucial steps in remanufacturing which aims to physically separate EOL products into its constituent parts and/or subassemblies. Large scale disassembly is performed on a paced disassembly line via linked workstations. U-shaped disassembly line is a special type of disassembly line which offers higher flexibility because of its unique feature where operators and/or robotic machines can work across multiples stations. Balancing the disassembly line is essential to optimize multiple objectives by strategically allocating disassembly tasks to various workstations. A mixed-integer non-linear programming (MINLP) model can be formulated to optimize the objectives. Reducing the number of workstations, increasing smoothness, removing hazardous part(s) early and removing highly demanded part(s) early are four objectives considered in this paper. Since the disassembly line balancing problem (DLBP) is an NP-hard problem, meta-heuristic algorithms need to be developed for solving the DLBP within a reasonable computational time. Small world optimization algorithm (SWO) is a novel meta-heuristic algorithm which is inspired from the theory of “all people are six or less than six social connections away from each other”. The mechanism of SWO algorithm expands the searching space and enhances the convergence speed. Case studies for small-sized instances show that the MILNP model could find optimal solution(s) for the DLBP and that the U-shaped disassembly line performs better than the traditional straight-line disassembly line. In this paper, the proposed SWO algorithm can be used for large-sized instances. A comparative study is presented here that shows that the proposed SWO algorithm is superior to 9 other known algorithms. |
Keywords: |
Remanufacturing, Disassembly Line Balancing, U-Shaped Disassembly line, Small world optimization (SWO), Waste management. |
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