Management, Vol. 4, Issue 2, Apr  2021, Pages 1-17; DOI:

The Problem Solving of Bi-objective Hybrid Production with the Possibility of Production Outsourcing through Meta-Heuristic Algorithms

Management, Vol. 4, Issue 2, Apr  2021, Pages 1-17.


Zahra Hoseinpour 1* , Amir Saman Kheirkhah 1 , Parviz Fattahi 2 , Mohammad Taghipour 3

1 Department of Industrial Engineering, Bu-Ali Sina University, Hamedan, Iran

2 Department of Industrial Engineering, Alzahra University, Tehran, Iran

3 Young Researchers and Elites club, Science and Research Branch, Islamic Azad University, Tehran, Iran

Received: 10 October 2020; Accepted: 15 November 2020; Published: 22 December 2020

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Today, it is important to identify products that must be produced and also the amount of production of each product and the compliance with existing resources. Such a problem is often called the “hybrid production”. In addition, today, the advanced industrial units do not focus only on the production of a product and try as much as possible to meet a significant share of their customers’ needs. Today, since the number and type of customers’ needs are constantly changing, an industrial unit with all of its many developments will fail in producing a huge range of products. Outsourcing is a good strategy for such units so that it monitors the highest quality products while maintaining their customers. It is clear that problem solving is more complex when the number of sources and products increases in the area of hybrid products, and using modern innovative and meta-heuristic methods is inevitable to solve such problems. A mathematical model has been presented for the problem of hybrid production considering the outsourcing and imperialist competitive algorithm and hybrid algorithm; GA and PSO have resolved the problem in this study. The results indicated that the convergence of Imperialist competitive algorithm to the final value was excellent and had less fluctuation in the answers. However, the convergence rate is lower unlike GAPSO procedure.


Multi-Purposes Hybrid Production, Outsourcing, Meta-Heuristic Algorithms


© 2017 by the authors. Licensee International Technology and Science Press Limited. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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