This paper proposes two new mixed integer programming models for capacitated multi-level lot-sizing problems with backlogging, whose linear programming relaxations provide good lower bounds on the optimal solution value. We show that both of these strong formulations yield the same lower bounds....

In this paper, we investigate quantum correlations (QCs) and quantum phase transition (QPT) in the Ising model with Dzyaloshinskii–Moriya (DM) interaction by employing the quantum renormalization group method. The results show that some quantum correlation measures can effectively exhibit the...

A general class of variational models with concave priors is considered for obtaining certain sparse solutions, for which nonsmoothness and non-Lipschitz continuity of the objective functions pose significant challenges from an analytical as well as numerical point of view. For computing a...

This paper examines location assignment for outbound containers in container terminals. It is an extension to the previous modeling work of Kim et al. (2000) and Zhang et al. (2010). The previous model was an “optimistic” handling way and gave a moderate punishment for placing a lighter...

In this article, we investigate the tail probability of the product of finitely many non-negative dependent random variables. They follow distributions from max-domains of attraction of extreme value distributions and their dependence is modeled via a multivariate Farlie–Gumbel–Morgenstern...

The interbank money market in the United States and Europe became turbulent during the financial crisis of 2007-–2009, with the counterparty default risk premiums and liquidity premiums of short-term financing among major financial institutions rising sharply to unprecedented levels. Using...