Bi-Objective Multi-Period Multi-Sourcing Supply Planning with Stochastic Lead-Times, Degressive Pricing, and Carbon Footprint*

This article studies a bi-objective stochastic optimization problem for multi-period multi-sourcing supply planning. The formulated problem accounts for stochastic lead times, degressive pricing, holding and backlog costs, delivery flexibility costs, as well as both holding and transportation carbon footprint. The first objective is to minimize the expected total cost, while the second objective is to minimize the expected total footprint. These objectives must be achieved while adhering to suppliers’ capacity constraints and meeting customer demand. In this paper, the proposed stochastic integer linear program is detailed, and the ϵ-constraint method used to solve it is described. The first results of experiments are presented and discussed.