Linear physical programming for solving the multi-criteria disassembly-to-order problem under stochastic yields, limited supply, and quantity discount

This paper focuses on the disassembly-to-order (DTO) problem. End-of-life (EOL) products are purchased from a number of suppliers in order to be disassembled into individual components to satisfy the demand for specified numbers of components. However, there are a lot of uncertainties that complicates the process. Previous work in the literature solved the DTO problem under multiple uncertainties and a single objective. Other models solved the multicriteria DTO problem with a single uncertainty. This paper develops a multi-criteria DTO model that takes into consideration multiple system uncertainties and solves it using Linear Physical Programming (LPP). The main objective was to find the best combination of take-back EOL products to be purchased from every supplier that would satisfy the demand and achieve the aspiration levels of multiple goals. An example is considered to illustrate the model approach.