A Mixed Integer Nonlinear Programming for Allocation Polyethylene Terephthalate (PET) Waste Management in Reverse Logistics Network

The involvement of many parties in the municipal waste management process is a challenge to increasing reverse logistics performance. In this research, an integrated model for a reverse logistics network on municipal waste management will be developed to minimize the total cost of reverse logistics activities. The developed model will be structured in Mixed Integer Nonlinear Programming (MINLP). The purpose of this paper is to discuss the mathematical model and PET waste management under government subsidy. The Reverse Logistics structure implemented in Polyethylene Terephthalate (PET) waste management involves four echelons; PET waste generation, scavengers, collectors, and remanufacturers. The numerical examples show that the minimum total cost of PET waste management in the Reverse Logistics Network is IDR 120,737,487.00. The model shown in this paper can assist the players in deciding on the allocation and recycling process the PET waste.