An ε-constraint multi-objective optimization model for web-based convergent product networks using the Steiner tree

Authors

1 Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran

2 ‎Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran

3 Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran

Abstract

Convergent product is an assembly shape concept integrating functions and sub-functions to form a final product. To conceptualize the convergent product problem, a web-based network is considered in which a collection of base functions and sub-functions configure the nodes and each arc in the network is considered to be a link between two nodes. The aim is to find an optimal tree of functionalities in the network adding value to the product in the web environment. First, an algorithm is proposed to assign the links among bases and sub-functions. Then, numerical values as benefits and costs are determined for arcs and nodes, respectively, using a mathematical approach. Also, a customer’s value corresponding to the benefits is considered. Finally, the Steiner tree methodology is adapted to a multi-objective model optimized by an augmented ε-constraint method.Anexample is worked out to illustrate the proposed approach.

Keywords

Scientia Iranica
Volume 22, Issue 3 - Serial Number 3
Transactions on Industrial Engineering (E)
June 2015
Pages 1155-1170

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