The determination of the Ultimate Pit Limit (UPL) is the first step in the open pit mine planning process. In this stage that parts of the mineral deposit that are economic to mine are determined. There are several mathematical, heuristic and meta-heuristic algorithms to determine UPL. The optimization criterion in these algorithms is maximization of the total profit whilst satisfying...

We study a robust version of the maximum capture facility location problem in competitive market, assuming that each customer chooses among all available facilities according to random utility maximization (RUM) model. employ generalized extreme value (GEV) family models and assume parameters RUM model are not given exactly but lie convex uncertainty sets. The is locate new maximize worst-case ...

The strategic design of a robust supply chain has as goal the configuration of the supply chain structure so that the performance of the supply chain remains of a consistently high quality for all possible future scenarios. We model this goal with an objective function that trades off the central tendency of the supply chain profit with the dispersion of the profit as measured by the standard d...

This paper presents a multi-objective multi-mode resource-constrained project scheduling problem (MRCPSP) with positive and negative cash flows. We consider the objectives of the net present value (NPV) maximization and robustness maximization along by makespan minimization. Furthermore, to make a model close to the real world situations, two types of commonly used payment models are considered...

Finite growth models (FGM) are nonnegative functionals that arise from parametrically-weighted directed acyclic graphs and a tuple observation that aaects these weights. The weight of a source-sink path is the product of the weights along it. The functional's value is the sum of the weights of all such paths. The mathematical foundations of hidden Markov modeling (HMM) and expectation maximizat...