• Title/Summary/Keyword: Mathematical procedure

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Disassembly and Classification for Recovery of EOL Products

  • Min, Sun-Dong;Matsuoka, Shinobu;Muraki, Masaaki
    • Industrial Engineering and Management Systems
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    • v.2 no.1
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    • pp.35-44
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    • 2003
  • Recovery of end-of-life (EOL) products is an environmentally and economically sound way to achieve many of the goals of sustainable development. Many product recovery systems are dependent upon destructive disassembly such as shredding, which undesirably causes a large volume of shredder dust and makes parts reuse impossible. Although non-destructive disassembly has been considered as an alternative for solving the problems, the classification of disassembled items has not been sufficiently investigated. In this paper, we propose a model that mathematically optimizes the disassembly and classification of EOL products. Based on the AND/OR graph that illustrates all possible disassembly sequences of a given product, we identify the physical properties that are considered as constraints in the model. As a result of the solution procedure, the recovery problem can be transformed into a mixed integer linear programming (MILP) model. We show an example that illustrates the concept of our model.

Dispatching Vehicles Considering Multi-lifts of Quay Cranes

  • Nguyen, Vu Duc;Kim, Kap-Hwan
    • Industrial Engineering and Management Systems
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    • v.9 no.2
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    • pp.178-194
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    • 2010
  • To improve the ship operation in automated container terminals, it is important to schedule different types of handling equipment to operate synchronously. For example, a vehicle with container receiving and lifting capabilities is used to transport containers from a storage yard to a vessel and vice versa, while a triple quay crane (QC) can handle up to three 40-ft containers simultaneously. This paper discusses the manner in which vehicles should be assigned to containers to support such multi-lifts of QCs by using information about the locations and times of deliveries. A mixed-integer programming model is introduced to optimally assign delivery tasks to vehicles. This model considers the constraint imposed by the limited buffer space under each QC. A procedure for converting buffer-space constraints into time window constraints and a heuristic algorithmfor overcoming the excessive computational time required for solving the mathematical model are suggested. A numerical experiment is conducted to compare the objective values and computational times of the heuristic algorithm with those of the optimizing method to evaluate the performance of the heuristic algorithm.

Low Sensitive Optimal Steering System of Ships at Sea (저감도최적조타계의 설계에 관한 연구)

  • 이철영
    • Journal of the Korean Institute of Navigation
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    • v.4 no.1
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    • pp.19-30
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    • 1980
  • The usual procedure for the optimal design of ship's steering system is to minimize a chosen quadratic performance index, which isdetermined from the view point of economic run. However, the optimal control synthesized in such a straightforward fashion is unsatisfactory because ship's parameters differ from their nominal values due to uncertainties and errors in measurement and/or simplifications in mathematical modelling, and/or the variation of the ship's loading condition. In an attempt to resolve this difficulty, this paper presents a method for designing a low sensitive optimal steering system in a way as to minimize not only given performance index but also the sensitivity of the performance index and trajectory sensitivity. It is also shown that the optimal control so obtained will result in a system whose performance index and transient response are low sensitive to small varation in ship's time constant.

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A Study on the Application and Design of Hydraulic Active Suspension System (유압식 능동 현가시스템의 설계 및 적용에 관한 연구)

  • Jang, Seong-Uk;Lee, Jin-Geol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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    • pp.683-692
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    • 2002
  • The most important parameter for hydraulic active suspension system is to sustain desirable vehicle maneuvering stability and ride comfort without increasing power consumption. The performance of hydraulic active suspension system depends on damping force of body damping valve and piston damping valve. Hydraulic actuator design and damping valve parameter selection are essential and basic procedure to design hydraulic system. This paper is on computer simulation with use of mathematical model that was delivered from dynamic characteristic of hydraulic actuator, as know basic damping characteristics of hydraulic active suspension system. The aim of this paper is to select the system parameter that affect mainly hydraulic active suspension, and identify the validity on the system parameter selection.

Estimation Method of the Best-Approximated Form Factor Using the Profile Measurement of the Aspherical Ophthalmic Lens (단면 형상 측정을 이용한 비구면 안경 렌즈의 최적 근사화된 설계 계수의 추정 방법)

  • Lee Hocheol
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.5 s.170
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    • pp.55-62
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    • 2005
  • This paper presents mainly a procedure to get the mathematical form of the manufactured aspherical lens. Generally Schulz formula describes the aspherical lens profile. Therefore, the base curvature, conic constant. and high-order polynomial coefficient should be set to get the approximated design equation. To find the best-approximated aspherical form, lens profile is measured by a commercial stylus profiler, which has a sub-micrometer measurement resolution. The optimization tool is based on the minimization of the root mean square of error sum to get the estimated aspherical surface equation from the scanned aspherical profile. Error minimization step uses the Nelder-Mead simplex (direct search) method. The result of the lens refractive power measurement shows the experimental consistency with the curvature distribution of the best-approximated aspherical surface equation

A Study on Filtration System Model and Comparative Performance Tests of Automotive (여과시스템 모델과 자동차 연료필터의 비교성능시험 연구)

  • 이재천
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.3
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    • pp.194-201
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    • 2003
  • This study presents the comparative filtration performance evaluation of automotive fuel filters based on the theory of Beta ratio. For the experiments, the fuel component's test stand incorporating the multi-pass filtration test circuit was developed. A mathematical description of filtration process in general was derived. And the theoretical basis of multi-pass test and the test procedure were described in detail. Experimental results revealed that domestic fuel filter tested could not maintain consistent Beta ratio, that is filtration efficiency, although it had the holding capacity of contaminants close to the specification at maximum pressure drop across the filter assembly. The results of experiments and simulations also showed that filtration system model could be refined including desorption ratio to estimate the variable Beta ratio in service life.

The Design of Chaotic Binary Tream Generator (혼돈 2진 스트림 발생기 설계)

  • Seo, Yong-Won;Park, Jin-Soo
    • Journal of Advanced Navigation Technology
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    • v.17 no.3
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    • pp.292-297
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    • 2013
  • In this paper, The design of digital circuits for chaotic composition function which is used for the key-stream generator is studied in this work. The overall design concept and procedure due to the mathematical model of chaotic key-stream generator is to be the explained in detail, and also the discretized truth table of chaotic composition function is presented in this paper. consequently, a composition state machine based on the compositive map with connecting two types of one dimensional and two dimensional chaotic maps together is designed and presented.

ON A RING PROPERTY RELATED TO NILRADICALS

  • Jin, Hai-lan;Piao, Zhelin;Yun, Sang Jo
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.141-150
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    • 2019
  • In this article we investigate the structure of rings in which lower nilradicals coincide with upper nilradicals. Such rings shall be said to be quasi-2-primal. It is shown first that the $K{\ddot{o}}the^{\prime}s$ conjecture holds for quasi-2-primal rings. So the results in this article may provide interesting and useful information to the study of nilradicals in various situations. In the procedure we study the structure of quasi-2-primal rings, and observe various kinds of quasi-2-primal rings which do roles in ring theory.

Process Metamorphosis and On-Line FEM for Mathematical Modeling of Metal Rolling-Part I: Theory

  • Zamanian, A.;Nam, S.Y.;Shin, T.J.;Hwang, S.M.
    • Transactions of Materials Processing
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    • v.28 no.2
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    • pp.83-88
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    • 2019
  • This paper introduces a new concept - on-line FE model, as applied to metal rolling. The new technology allows for completion of process simulation within a tiny fraction of a second without loss of high-level prediction accuracy inherent to FEM. The three steps of an on-line FE model design namely, process metamorphosis, mesh design, and process variable design, are described in detail. The procedure is demonstrated step by step through designing actual on-line models for the prediction of the dog-bone profile in edge rolling. The validity and prediction accuracy of the on-line FE models are analyzed and discussed.

Process Metamorphosis and On-Line FEM for Mathematical Modeling of Metal Rolling-Part II: Application

  • Zamanian, A.;Nam, S.Y.;Shin, T.J.;Hwang, S.M.
    • Transactions of Materials Processing
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    • v.28 no.2
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    • pp.89-97
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    • 2019
  • In this paper, we examine the application of a new concept - on-line FE model in various metal rolling processes. This technology allows for completion of process simulation within a tiny fraction of a second without losing the high level of prediction accuracy inherent to FEM. The procedure is systematically demonstrated through the design of actual on-line models for the prediction of the width spread in horizontal rolling of the slab using a dog bone profile and horizontal rolling of the strip with a strip profile. The validity and the prediction accuracy of the on-line FE models were analyzed and discussed.