scholarly journals Genetic Algorithm for Mixed Integer Nonlinear Bilevel Programming and Applications in Product Family Design

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Chenlu Miao ◽  
Gang Du ◽  
Yi Xia ◽  
Danping Wang
Keyword(s):  
Bilevel Programming ◽  
Product Family ◽  
Mixed Integer ◽  
Product Family Design ◽  
Practical Applications ◽  
Special Cases ◽  
Product Family Optimization ◽  
Np Hard Problem ◽  
Family Case ◽  
Continuous And Discrete Variables

Many leader-follower relationships exist in product family design engineering problems. We use bilevel programming (BLP) to reflect the leader-follower relationship and describe such problems. Product family design problems have unique characteristics; thus, mixed integer nonlinear BLP (MINLBLP), which has both continuous and discrete variables and multiple independent lower-level problems, is widely used in product family optimization. However, BLP is difficult in theory and is an NP-hard problem. Consequently, using traditional methods to solve such problems is difficult. Genetic algorithms (GAs) have great value in solving BLP problems, and many studies have designed GAs to solve BLP problems; however, such GAs are typically designed for special cases that do not involve MINLBLP with one or multiple followers. Therefore, we propose a bilevel GA to solve these particular MINLBLP problems, which are widely used in product family problems. We give numerical examples to demonstrate the effectiveness of the proposed algorithm. In addition, a reducer family case study is examined to demonstrate practical applications of the proposed BLGA.

Multidisciplinary design optimization of vehicle chassis product family

2021 ◽  
pp. 095440542110366
Author(s):  
Xiaokai Chen ◽  
Chenyu Wang ◽  
Guobiao Shi ◽  
Mingkai Zeng
Keyword(s):  
Design Optimization ◽  
Design Process ◽  
Multidisciplinary Design Optimization ◽  
Optimization Design ◽  
Optimization Problem ◽  
Product Family ◽  
Multidisciplinary Design ◽  
Product Family Design ◽  
Product Platforms ◽  
Product Family Optimization

In order to improve the performance of automotive product platforms and product families while keeping high development efficiency, a product family optimization design method that combines shared variable decision-making and multidisciplinary design optimization (MDO) is proposed. First, the basic concepts related to product family design optimization were clarified. Then, the mathematical description and MDO model of the product family optimization problem were established, and the improved product family design process was given. Finally, for the chassis product family optimization problem of an automotive product platform, the effectiveness of the proposed optimization method, and design process were exemplified. The results show that the collaboratively optimized product family can effectively handle the coordination between multiple products and multiple targets, compared to Non-platform development, it can maximize the generalization rate of vehicle parts and components under the premise of ensuring key performance, and give full play to the advantages of product platforms.

An Investigation of Impact of the Product Family Design on the Shop Floor Performance

2008 ◽  
Author(s):  
Hakan U. Artar ◽  
Gu¨l Okudan
Keyword(s):  
Decision Making ◽  
Real Life ◽  
Product Family ◽  
Shop Floor ◽  
Design Decision ◽  
Product Family Design ◽  
Computer Simulation Study ◽  
Family Case ◽  
And Performance ◽  
The Impact

While many approaches have been proposed to optimize the product family design for measures of cost, revenue and performance, many of these approaches fail to incorporate the complexity of the manufacturing issues into family design decision-making. One of these issues is different approaches for assembly sequencing. This paper presents a computer simulation study by which the impact of two postponement strategies is investigated for a real-life product family case under various demand conditions. Overall, the results indicate that when the product family design takes into account the assembly sequencing decisions, the outcomes at the shop floor level improve. The results have implications for companies that are looking into increasing their revenue without increasing their investment in the shop floor.

Global Product Family Design: Multi-Objective Optimization and Design Concept Exploration

2012 ◽  
Author(s):  
Kikuo Fujita ◽  
Ken Nasu ◽  
Yuma Ito ◽  
Yutaka Nomaguchi
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Product Family ◽  
Design Concept ◽  
Mixed Integer ◽  
Product Family Design ◽  
Multi Objective ◽  
Concept Exploration ◽  
Supply Chain Configuration ◽  
Chain Configuration

Global product family design is the problem in which product variants and supply chain configuration are simultaneously designed. It has become a significant concern of manufacturing industries under globalization. Its context is not only complicated under various factors and their interactions but also vague under strategic decision making. In this paper, first, a multi-objective mixed-integer formulation of simultaneous design of module commonalization and supply chain configuration is developed under the criteria on quality, cost and delivery, and an optimization algorithm for obtaining Pareto optimal solutions is configured by using a neighborhood cultivation genetic algorithm and simplex method. Then, this paper investigates into design concept exploration on the optimality and compromise in global product family design with data-mining techniques, a principal component analysis technique and a self-organizing map technique. This paper demonstrates some numerical case studies for ascertaining the validity and promise of the proposed mathematical model and computational techniques for supporting the designer’s decision making toward the excellence in global product family design.

A Market-Based Design Strategy for a Universal Product Family

2012 ◽  
Vol 134 (11) ◽  
Author(s):  
Seung Ki Moon ◽  
Daniel A. McAdams
Keyword(s):  
Mass Customization ◽  
Universal Design ◽  
Product Family ◽  
Cost Effective ◽  
Differentiated Products ◽  
Product Family Design ◽  
Design Strategies ◽  
Market Segments ◽  
Light Duty

Companies that generate a variety of products and services are creating, and increasing research on, mass-customized products in order to satisfy customers’ specific needs. Currently, the majority of effort is focused on consumers who are without disabilities. The research presented here is motivated by the need to provide a basis of product design methods for users with some disability—often called universal design (UD). Product family design is a way to achieve cost-effective mass customization by allowing highly differentiated products serving distinct market segments to be developed from a common platform. By extending concepts from product family design and mass customization to universal design, we propose a method for developing and evaluating a universal product family within uncertain market environments. We will model design strategies for a universal product family as a market economy where product family platform configurations are generated through market segments based on a product platform and customers’ preferences. A coalitional game is employed to evaluate which design strategies provide more benefit when included in the platform based on the marginal profit contribution of each strategy. To demonstrate an implementation of the proposed method, we use a case study involving a family of light-duty trucks.

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