Optimization Models For Scheduling Ore And Waste Production In Open Pit Mines

An open pit mining operation can be considered as a production system with at least two products: ore and overburden (waste). A primary mine planning task is to schedule the production of ore and waste over its life span subject to several technical and economic constraints to maximize some objective such as the overall profit from the operation. Two major constraints are (i) the feasible combinations of ore and waste productions and (ii) the limiting function for ore production as a function of mine life. The task in scheduling production and stripping ratio (ratio of waste to ore production) is to find an ore production curve below the upper bound function of ore production, and a stripping ratio curve within the feasible domain of ore production and overburden removal while maximizing the defined objective. Zn this paper, feasibility of developing computerized optimization models to perform such a scheduling process is explored. Two optimization models are proposed for the task. In the first approach, a linear programming (LP) model is employed and in the second, a dynamic programming procedure (DP) is outlined. In these models, in addition to the consideration of the two major constraints mentioned earlier, various other contributing factors such as interest rate, equipment purchase cost and installation schedule, operating cost, and equipment idle cost are incorporated. An example is provided to illustrate the LP model application.