the scarcity of water resources and supply resources limitation, have caused an increasing gap between water supply and demand specially in recent decades in almost all regions of the globe. one of the best known solutions proposed by the economists is using the different water pricing approaches thereby obtaining the optimal allocation and social justice. to this purpose, this paper uses the p...

Given a compact connected n-dimensional Riemannian manifold, we investigate the smoothness of optimal transport map between smooth densities with respect to squared distance cost. The is characterized by exp(gradu), where potential function u satisfies Monge–Ampère type equation. Delanoë [7] showed on surfaces when scalar curvature close 1 in C 2 norm. In this work, study regularity issue manif...

Finding an optimal policy in a reinforcement learning (RL) framework with continuous state and action spaces is challenging. Approximate solutions are often inevitable. GPDP is an approximate dynamic programming algorithm based on Gaussian process (GP) models for the value functions. In this paper, we extend GPDP to the case of unknown transition dynamics. After building a GP model for the tran...

Optimal solutions of Linear Programming problems may become severely infeasible if the nominal data is slightly perturbed. We demonstrate this phenomenon by studying 90 LPs from the well-known NETLIB collection. We then apply the Robust Optimization methodology (Ben-Tal and Nemirovski [1-3]; El Ghaoui et al. [5,6]) to produce “robust” solutions of the above LPs which are in a sense immuned agai...

In this paper, a problem of scheduling tasks in uniform parallel machines with sequence-dependent setup times is presented. The problem under analysis contains a particular set of constraints, including equipment capacity, task precedences, lot sizing and task delivery plan. The complexity of the mathematical programming model developed for this problem hasn’t permitted to find one solution usi...