Abstract

With the increase in pollution and people’s awareness of the environment, reducing greenhouse gas (GHG) emissions from products has attracted more and more attention. Companies and researchers are seeking appropriate methods to reduce the GHG emissions of products. Currently, product family design is widely used for meeting the diverse needs of customers. In order to reduce the GHG emission of products, some methods for low-carbon product family design have been presented in recent years. However, in the existing research, the related GHG emission data of a product family are given as crisp values, which cannot assess GHG emissions accurately. In addition, the procurement planning of components has not been fully concerned, and the supplier selection has only been considered. To this end, in this study, a concurrence optimization model was developed for the low-carbon product family design and the procurement plan of components under uncertainty. In the model, the relevant GHG emissions were considered as the uncertain number rather than the crisp value, and the uncertain GHG emissions model of the product family was established. Meanwhile, the order allocation of the supplier was considered as the decision variable in the model. To solve the uncertain optimization problem, a genetic algorithm was developed. Finally, a case study was performed to illustrate the effectiveness of the proposed approach. The results showed that the proposed model can help decision-makers to simultaneously determine the configuration of product variants, the procurement strategy of components, and the price strategies of product variants based on the objective of maximizing profit and minimizing GHG emission under uncertainty. Moreover, the concurrent optimization of low-carbon product family design and order allocation can bring the company greater profit and lower GHG emissions than just considering supplier selection in low-carbon product family design.

Highlights

  • Over the last few decades, greenhouse gas (GHG) emissions have attracted more and more attention

  • The results showed that the proposed model can help decision-makers to simultaneously determine the configuration of product variants, the procurement strategy of components, and the price strategies of product variants based on the objective of maximizing profit and minimizing GHG emission under uncertainty

  • Many types of emission-regulation schemes have been suggested by UNCFC and the Kyoto Protocol to curb GHG emissions, such as carbon taxes and carbon cap-and-trade policies

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Summary

Introduction

Over the last few decades, greenhouse gas (GHG) emissions have attracted more and more attention. Wang et al [2] presented an approach for modular product family design considering cost and GHG emissions. Since supplier selection affects both the production cost of the product and the GHG emissions of the product, Wang et al [4] presented a method to simultaneously optimize supplier selection and the low-carbon design of the product family. The related GHG emissions data of the product family were considered as crisp values in the existing studies. The order allocation of multiple suppliers has not been fully considered, and it will influence the low-carbon product family design. To make up for the above research gaps, this study proposes a concurrence optimization method for low-carbon product family design and the procurement decision of components under uncertainty.

Low-Carbon Product Design
Product Family Design
Problem Presentation
Establishing Customer Preference Model
Market Demand of Products and Expected Revenue
Price Discount of Suppliers
Production Cost of a Product Family
Greenhouse Gas Emission Model of a Product Family
Objective Function of the Optimization Model
Optimization Constraints
Optimization Model Representation
Chromosome of GA
Fitness Function
Case Introduction and Test Solving Algorithm
Sensitivity Analysis of GHG
Compare Supplier Selection and Order Allocation in Product Family Design
10. Optimized
Conclusions

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