Marvin caspar (3 Ergebnisse)
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Seminar paper from the year 2020 in the subject Business economics - Operations Research, grade: 1,3, University of Kaiserslautern, language: English, abstract: The Cutting Stock Problem (CSP) appears when a material has to be cut into smaller pieces… and occurs in many branches of industry. On the one hand, the CSP belongs to the earliest studied problems through methods of Operational Research and on the other to the most intensively studied problems in combinatorial optimization.In the one-dimensional Cutting Stock Problem (1DCSP), there are typically identical pieces of a single standard length, called rolls, that need to be cut into smaller pieces lengthwise. Examples, where the cutting process is performed in one single dimension, can be found in the steel industry and the paper industry . The two-dimensional CSP (2DCSP) is classified into cutting of regular and irregular shapes and is often found in clothing and shoe-leather industries. A real-world application of a three-dimensional CSP (3DCSP) lies in the production of mattresses, where rubber blocks are cut into different types of orthogonal rectangular prisms. Methods of finding an optimal solution exist for the 1DCSP. Often in large problem instances, the required time for finding an optimal solution proliferates, and heuristics may turn out to be the more sensible option in this case. Nowadays, there are countless different ways to find acceptable solutions in a fast manner of time, among others, the column generation approach, which is the central component of the present work.This work is organized as follows. In Chapter 2, a brief overview of different formulations for the CSP is given. Furthermore, some known extensions of the classic CSP are presented, e.g., raw material, that consists of various sizes at the same time. CSP has many relatives, the closest is the Bin Packing Problem (BPP), where items are packed into bins as efficiently as possible. The third chapter shows the column generation technique for solving the CSP and provides the connection between a solution for the relaxed problem and an integer solution. In Chapter 4, different test instances of the CSP are compared using a column generation implementation solved in three different MIP solvers. The conclusion is provided in Chapter 5.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Bachelor Thesis from the year 2019 in the subject Economics - Finance, grade: 1,0, University of Kaiserslautern, language: English, abstract: The aim of this thesis is the presentation and analysis of a classical monetary economy. Modelling is consid…ered over different periods, which implies a dynamic optimization problem. Under simple and comprehensible assumptions, household side and producing firms will be modelled. In the market equilibrium, interrelations and influences of different variables are presented under participation of the monetary authority.This analysis makes use of various mathematical tools, approximation methods and log-linearizations around steady states, which requires a certain level of abstraction. Thereby mathematical complexity is always kept to a minimum. The central issue is whether the price level is determined or not. Indeterminacy leads possibly to an infinite number of equilibria, which jeopardizes meaningful modelling. Hursey and Wolman (2010) lamented the fact that most monetary models involve the problem of multiple equilibria which makes it impossible to make accurate statements.The primary objective is to promote an understanding of influencing monetary policy, especially in terms of inflation rate and price level. This thesis will show how monetary policy affects different macroeconomic variables. Furthermore, the question of optimal monetary policy will be discussed. It is important to point out that modelling a monetary economy can provide meaningful information for policy decisions. In particular, the monetary authority can be advised on its decision making by the present analysis. Overall the model presented in this work is mainly based on the work of Gali (2015), and the notation used there is predominantly adopted.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Research Paper (postgraduate) from the year 2021 in the subject Computer Science - Commercial Information Technology, grade: 1,0, University of Kaiserslautern (Fraunhofer IESE), language: English, abstract: In this research project, modularization wi…ll be investigated in the field of different engineering disciplines and in its interdisciplinary impact. Various experts are interviewed to reconcile academic research and modularization in practice as part of this research project. On the one hand, different strategies and tools are presented and on the other hand, metrics for the optimization of modular architectures are shown. This research project aims at the comparison of different modularization approaches and the discussion of interdisciplinary modularization supported by views from several experts.The challenges of customizing production, meeting shorter innovation cycles, anticipating volatility in demand patterns that are diffcult to predict, and selling products at competitive production costs in different local markets are forcing companies to adopt innovative production concepts. Modularization is an essential way to reduce internal complexity and costs and represents a central strategy for today's companies by dividing a whole into parts called modules. The increasing diversity in production and the growing influence and interconnectedness of different engineering disciplines within the product architecture make modularization a multidimensional optimization problem. Numerous different strategies and tools come into the picture during the formation of modular product structures.
