Trajectory optimization with contact-rich behaviors has recently gained attention for generating diverse locomotion without pre-specified ground contact sequences. However, these approaches rely on precise models of robot dynamics and the terrain are susceptible to uncertainty. Recent works have attempted handle uncertainties in system model, but few investigated uncertainty dynamics. In this l...

Most production planning models are deterministic and often assume a linear relation between production volume and production cost. In this paper, we investigate a production planning problem in a steel production process considering the energy consumption cost which is a nonlinear function of the production quantity. Due to the uncertain environment, the production demands are stochastic. Taki...

In this paper, we consider stochastic programming with binary random variables, that is, when the random variable represents random subsets of a set. We consider a distributionally robust model, where the only knowledge about the distribution is the marginal probability of each element to appear in the random set. The objective is to minimize expected cost under the worst case distribution with...

In this paper, a comprehensive mathematical model for designing an electric power supply chain network via considering preventive maintenance under risk of network failures is proposed. The risk of capacity disruption of the distribution network is handled via using a two-stage stochastic programming as a framework for modeling the optimization problem. An applied method of planning for the net...

In this paper, an inexact two-stage stochastic programming model was developed for supporting regional water resource allocation management under uncertainties. The proposed model is an integrated framework of interval parameter programming and two-stage stochastic programming, which can tackle uncertain parameters expressed as interval values with probability distribution information. The prop...

in this paper, we consider a multi-site production planning problem subject to uncertainty in demand and workforce expenses. in our new mathematical model, we presented a production planning system considering failure in rework and breakdown. we also survey human workforce allocation and its expenses which are considered uncertain due to some tradeoff between company’s benefits and workforce :u...

Abstract. In this paper we study distributionally robust stochastic programming in a setting 7 where there is a specified reference probability measure and the uncertainty set of probability mea8 sures consists of measures in some sense close to the reference measure. We discuss law invariance of 9 the associated worst case functional and consider two basic constructions of such uncertainty set...