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Supplier selection and order allocation using two-stage hybrid supply chain model and game-based order price

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Abstract

Achieving an efficient supply chain is impossible without integrating supply chain processes and extending long-term relationships between its members. Evaluating the process, selecting a set of suppliers, and allocating orders are effective parameters in the coordination among supply chain members. In this study, to achieve an organized process, a two-stage hybrid model is presented to choose efficient suppliers, allocate order, and determine price in a supply chain with regard to coordination among members. First, an integrated Multi-Objective Mixed-Integer Nonlinear Programming (MOMINLP) model is provided to minimize costs and evaluate suppliers simultaneously. The proposed model includes a single-buyer multi-vendor coordination model and Data Envelopment Analysis (DEA). Then, the model is simplified and converted into a quadratic programming model. In the second stage, a model is presented to determine the price agreed upon by the buyer and the selected efficient suppliers using the bargaining game and the Nash equilibrium concept. The purpose of this model is to maximize the parties’ utilities considering the order quantity specified in the first stage. At the end of this paper, the data taken and adapted from the previous researches are applied to show the abilities of the proposed models.

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Acknowledgements

The authors are also indebted to the anonymous reviewers who have provided professional aspects and constructive feedbacks. They help us to improve the paper according to the useful and valuable comments and suggestions on the technical and structural aspects of the paper.

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Authors and Affiliations

  1. Faculty of Industrial Engineering, Urmia University of Technology, Urmia, Iran

    Samuel Yousefi & Mustafa Jahangoshai Rezaee

  2. Faculty of Engineering, Urmia University, Urmia, Iran

    Maghsud Solimanpur

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  1. Samuel Yousefi
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  2. Mustafa Jahangoshai Rezaee
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  3. Maghsud Solimanpur
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Correspondence to Mustafa Jahangoshai Rezaee.

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Yousefi, S., Jahangoshai Rezaee, M. & Solimanpur, M. Supplier selection and order allocation using two-stage hybrid supply chain model and game-based order price. Oper Res Int J 21, 553–588 (2021). https://doi.org/10.1007/s12351-019-00456-6

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