Kharazmi University International Journal of Supply and Operations Management 23831359 6 1 2019 02 01 Integrated Production and Distribution in Milk Supply Chain under Uncertainty with Hurwicz Criterion 30 50 2778 10.22034/2019.1.3 EN Achraf Touil Industrial Management and Innovation Laboratory of Engineering, Faculty of Sciences and Technology, Hassan 1st University, Settat, Morocco Abdelwahed Echchatbi Industrial Management and Innovation Laboratory of Engineering, Faculty of Sciences and Technology, Hassan 1st University, Settat, Morocco Abdelkabir Charkaoui Industrial Management and Innovation Laboratory of Engineering, Faculty of Sciences and Technology, Hassan 1st University, Settat, Morocco 0000-0002-2756-9307 Journal Article 2018 11 27 In this paper, we propose a credibility-based fuzzy mathematical programming model for integrating the production and distribution in milk supply chain under uncertainty. The proposed model is a mixed integer linear programming, which takes into account technological constraints and aims to maximize the total profit including the total costs such as production, storage, and distribution. To bring the model closer to real-world planning problems, the objective function coefficients (e.g. production cost, inventory holding and transport costs) and other parameters (e.g., demand, production capacity, and safety stock level), are all considered fuzzy numbers. In the uncertain environment, the most known criteria widely employed are optimistic and pessimistic value criterions. Both criteria present some deficiency. For the optimistic criterion, it suggests an audacious who is attracted by high payoffs (low cost), while for the pessimistic criterion, it suggests a conservative decision-maker who tries to make sure that in the case of an unfavorable outcome (loss), there is at least (in most) a known minimum payoff (loss maximum). To overcome these problems, the Hurwicz criterion is used for the concerned problem. By varying the value of θ, it can balance the optimistic and pessimistic levels of the decision makers. Moreover, the different property of the credibility measure is used to build the crisp equivalent model, which is a MILP model that can solve, by using a commercial solver such as GAMS. Finally, numerical results are reported for a real case study to demonstrate the efficiency and applicability of the proposed model. Milk supply chain Production-Distribution Credibility theory, Hurwicz criterion http://www.ijsom.com/article_2778_2e0f2f7c3e958f03c36b8339977f53b9.pdf