scholarly journals Computational approach to solving the problem of optimizing the supply of raw materials and components at the enterprise

2021 ◽  
Vol 2094 (3) ◽  
pp. 032057
Author(s):  
Y A Mezentsev ◽  
N V Baranova ◽  
P S Pavlov
Keyword(s):  
Discrete Optimization ◽  
Optimization Problem ◽  
Raw Materials ◽  
Computational Approach ◽  
Supply Management ◽  
Direct Algorithm ◽  
Numerical Example ◽  
Comparison Of The Results

Abstract The results of modelling the problem of supply management of an enterprise using discrete optimization tools are presented. The formulation of the optimization problem of supply management and the found method for its solution are presented. Since there may be cases when the number of variables in the problem is large enough, an algorithm was developed that uses the decomposition of the problem as a solution. A numerical example of the application of the decompositional algorithm for optimizing supplies and comparison of the results using the direct algorithm are given.

New KEMIRA Method for Determining Criteria Priority and Weights in Solving MCDM Problem

2014 ◽  
Vol 13 (06) ◽  
pp. 1119-1133 ◽  
Author(s):  
Aleksandras Krylovas ◽  
Edmundas Kazimieras Zavadskas ◽  
Natalja Kosareva ◽  
Stanislav Dadelo
Keyword(s):  
Decision Making ◽  
Selection Criteria ◽  
Optimization Problem ◽  
Multiple Criteria Decision Making ◽  
Specific Task ◽  
Discrepancy Function ◽  
Numerical Example ◽  
Security Personnel ◽  
Criteria Weights ◽  
Elite Selection

This study presents a new KEmeny Median Indicator Ranks Accordance (KEMIRA) method for determining criteria priority and selection criteria weights in the case of two separate groups of criteria for solving multiple criteria decision making (MCDM) problem. Kemeny median method is proposed to generalize experts' opinion. Medians are calculated applying three different measure functions. Criteria weights are calculated and alternatives ranking accomplished by solving optimization problem — minimization of ranks discrepancy function calculated for two groups of criteria. A numerical example for solving specific task of elite selection from security personnel is given to illustrate the proposed method.

scholarly journals Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1348 ◽  
Author(s):  
Ramu Dubey ◽  
Lakshmi Narayan Mishra ◽  
Luis Manuel Sánchez Ruiz
Keyword(s):  
Vector Optimization ◽  
Optimization Problem ◽  
Vector Optimization Problem ◽  
Second Order ◽  
Type Model ◽  
Dual Model ◽  
Duality Theorems ◽  
Converse Duality ◽  
Numerical Example ◽  
Primal Dual

In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond–Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understand the existence of such type of functions. Finally, we prove weak, strong and converse duality theorems under aforesaid assumptions.

scholarly journals On the Design of An Innovative Latch Mechanism in SMIFed Wafer Containers

2003 ◽  
Vol 19 (3) ◽  
pp. 389-395
Author(s):  
Wei-Ming Pai ◽  
Dar-Zen Chen ◽  
Jyh-Jone Lee ◽  
Chi-Zer Ho
Keyword(s):  
Kinetic Energy ◽  
Integrated Circuits ◽  
Design Process ◽  
Computer Simulations ◽  
Optimization Problem ◽  
Output Link ◽  
Numerical Example ◽  
Second Stage ◽  
Transmission Angle ◽  
Two Stages

AbstractThis paper presents the design process for an innovative latch mechanism in a standard mechanical interfaced (SMIFed) wafer container, in which the manufactured integrated circuits are stored. An innovative latch mechanism is proposed and applied to the wafer container, such that the container door can be latched and air-tightly sealed during storage or transportation. The design process is divided into two stages. In the first stage, an output slot-cam is designed in order to generate decoupled fine motions of the output link. The issue is formulated as an optimization problem where the output link dimensions are optimized to minimize the resultant pin forces subject to an adequate transmission angle. In the second stage, the input slot-cam is designed to achieve that kinetic energy of the elastic gasket on the container lid is absorbed at a uniform rate. Finally, a numerical example and computer simulations are given to demonstrate the results of design process. It is believed that this work could aid in enhancing the performance and reliability of the latch mechanism in the SMIF environment.

Optimal Viscous Damper Placement Using Level Set Topology Optimization Method

2010 ◽  
Author(s):  
Masoud Ansari ◽  
Amir Khajepour ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Discrete Optimization ◽  
Optimization Problem ◽  
Minimum Energy ◽  
Optimization Method ◽  
Discrete Optimization Problem ◽  
Placement Problem ◽  
New Approach ◽  
Optimal Damping

Vibration control has always been of great interest for many researchers in different fields, especially mechanical and civil engineering. One of the key elements in control of vibration is damper. One way of optimally suppressing unwanted vibrations is to find the best locations of the dampers in the structure, such that the highest dampening effect is achieved. This paper proposes a new approach that turns the conventional discrete optimization problem of optimal damper placement to a continuous topology optimization. In fact, instead of considering a few dampers and run the discrete optimization problem to find their best locations, the whole structure is considered to be connected to infinite numbers of dampers and level set topology optimization will be performed to determine the optimal damping set, while certain number of dampers are used, and the minimum energy for the system is achieved. This method has a few major advantages over the conventional methods, and can handle damper placement problem for complicated structures (systems) more accurately. The results, obtained in this research are very promising and show the capability of this method in finding the best damper location is structures.

scholarly journals Are Stable Instances Easy?

2012 ◽  
Vol 21 (5) ◽  
pp. 643-660 ◽  
Author(s):  
YONATAN BILU ◽  
NATHAN LINIAL
Keyword(s):  
Polynomial Time ◽  
Discrete Optimization ◽  
Optimization Problem ◽  
Discrete Optimization Problem ◽  
Hard Problem ◽  
Np Hard ◽  
Max Cut Problem ◽  
Np Hard Problem ◽  
Hard Problems ◽  
Np Hard Problems

We introduce the notion of a stable instance for a discrete optimization problem, and argue that in many practical situations only sufficiently stable instances are of interest. The question then arises whether stable instances of NP-hard problems are easier to solve, and in particular, whether there exist algorithms that solve in polynomial time all sufficiently stable instances of some NP-hard problem. The paper focuses on the Max-Cut problem, for which we show that this is indeed the case.

Topology Optimization for Cellular Material Design

2014 ◽  
Vol 1662 ◽  
Author(s):  
Reza Lotfi ◽  
Seunghyun Ha ◽  
Josephine V. Carstensen ◽  
James K. Guest
Keyword(s):  
Topology Optimization ◽  
Mathematical Programming ◽  
High Performance ◽  
Optimization Problem ◽  
Material Design ◽  
Cellular Materials ◽  
Computational Approach ◽  
Manufacturing Processes ◽  
Component Level ◽  
Level Scale

ABSTRACTTopology optimization is a systematic, computational approach to the design of structure, defined as the layout of materials (and pores) across a domain. Typically employed at the component-level scale, topology optimization is increasingly being used to design the architecture of high performance materials. The resulting design problem is posed as an optimization problem with governing unit cell and upscaling mechanics embedded in the formulation, and solved with formal mathematical programming. This paper will describe recent advances in topology optimization, including incorporation of manufacturing processes and objectives governed by nonlinear mechanics and multiple physics, and demonstrate their application to the design of cellular materials. Optimized material architectures are shown to (computationally) approach theoretical bounds when available, and can be used to generate estimations of bounds when such bounds are unknown.

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