# Mathematical Modeling and Optimization of Dairy Waste Scum-Based Biodiesel Supply Chain Under the Paradigm of Sustainability: Part 2 Total Production Size of The Material Flows on The Bulgarian Scale

Proceedings of The 3rd International Conference on Advanced Research in Supply Chain Management

Year: 2023

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Mathematical Modeling and Optimization of Dairy Waste Scum-Based Biodiesel Supply Chain Under the Paradigm of Sustainability: Part 2 Total Production Size of The Material Flows on The Bulgarian Scale

Yunzile Dzhelil, Desislava Nikolova , Konstantina Galcheva

ABSTRACT:

Biodiesel is an environmentally friendly alternative to petro-diesel. The production of biofuels and the use of biodiesel make it possible to reduce the harmful emissions released when using traditional diesel. In this paper is applied the mixed integer linear programming (MILP) model for dairy waste scum-based supply chain for biodiesel, as is proposed in Part 1. In the case under consideration, Bulgaria is territorially divided into 27 regions corresponding to its provinces. The supply chain investigated in this work consists of 12 regions – a potential location center for farms (milk producers), 12 milk processing regions, 5 potential locations for biorefineries and 27 customer areas. In the mathematical model, as feedstock for biodiesel production, it is assumed that waste biomass generated in the production of four types of milk products (yogurt 4.5%, milk 3%, yellow cheese and white brine cheese) can be used, obtained from only from cow’s milk. This part of the study details the constraints that must be met to achieve the objective of minimizing economic costs while meeting environmental requirements. In this study are shown the results in terms of total production size of the different material flows. The mathematical model is developed in terms of GAMS, and it can be used as a complete decision for other regions or countries by modification of specific data.

keywords: biofuel, energy efficiency, MILP, optimal design, dairy production