Sharif University of TechnologyScientia Iranica1026-309822320150601An ε-constraint multi-objective optimization model for web-based convergent product networks using the Steiner treeAn ε-constraint multi-objective optimization model for web-based convergent product networks using the Steiner tree115511703708ENReza HassanzadehDepartment of Industrial Engineering, Mazandaran University of Science and Technology, Babol, IranIraj MahdaviDepartment of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran0000-0001-5123-6169Nezam Mahdavi-AmiriFaculty of Mathematical Sciences, Sharif University of Technology, Tehran, IranJournal Article20140708Convergent 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.https://scientiairanica.sharif.edu/article_3708_449413b9e20318f5df8c73e176809625.pdf