%0 Journal Article
%T Presenting a Bi-Level Model and a New Hybrid Solution Algorithm for Inventory Routing ‎Problem (IRP) Considering Motivational Designs
%A Mohammad Hossein Zaminpardaz
%A Ali Hossein Mirzaei
%A Adel Ramezani
%J specialty journal of engineering and applied science
%@ 2520-5943
%D 2019
%V 4
%N 3
%P 77-86
%X This paper investigates a multi-product multi-period inventory routing problem in a ‎two-echelon decentralized supply chain that consists of a supplier and a set of retailers. ‎Here, it is assumed that the supplier and retailers make decisions independently. ‎Hence, a nonlinear mixed integer bi-level programming model is proposed for the ‎problem where the supplier and retailers are considered as leader and followers, ‎respectively. In the proposed model, a discount scheme is applied as an incentive ‎scheme to coordinate the supplier and retailers.‎ In this paper, an efficient hybrid algorithm is developed to solve the proposed model. ‎The proposed algorithm is designed based on Genetic and Ant Colony Algorithm‎.
%U https://sciarena.com/article/presenting-a-bi-level-model-and-a-new-hybrid-solution-algorithm-for-inventory-routing-problem-irp-considering-motivational-designs