• Comparison of Discrete and Continuous Models for the Pooling Problem 

      Alfaki, Mohammed; Haugland, Dag (Chapter; Peer reviewed, 2011)
      The pooling problem is an important global optimization problem which is encountered in many industrial settings. It is traditionally modeled as a bilinear, nonconvex optimization problem, and solved by branch-and-bound ...
    • Improving Efficiency in Parameter Estimation Using the Hamiltonian Monte Carlo Algorithm 

      Alfaki, Mohammed (Master thesis, 2008)
      This thesis investigates three approaches to improve the performance of the Hamiltonian Monte Carlo algorithm. The first approach enhances the Hamiltonian Monte Carlo by suppressing random walk in the Gibbs sampling using ...
    • Models and Solution Methods for the Pooling Problem 

      Alfaki, Mohammed (Doctoral thesis, 2012-06-18)
      Pipeline transportation of natural gas is largely affected by restrictions regarding gas quality imposed by the market and the actual quality of the gas produced at sources. From the sources, gas flow streams of unequal ...
    • Solving the pooling problem with LMI relaxations 

      Frimannslund, Lennart; El Ghami, Mohamed; Alfaki, Mohammed; Haugland, Dag (Chapter; Peer reviewed, 2012)
      We consider the standard pooling problem with a single quality parameter, which is a polynomial global optimization problem occurring among other places in the oil industry. In this paper, we show that if the feasible set ...