Complex polynomial optimization problems arise from real-life applications including radar code design, MIMO beamforming, and quantum mechanics. In this paper, we study complex polynomial optimization models where the objective function takes one of the following three forms: (1) multilinear;...

We consider a model whereby players compete for a set of shared resources to produce and sell substitute products in the same market, which can be viewed as a generalization of the classical Cournot oligopolistic competition model, or, from a different angle, the Wardrop type routing model. In...

We take the papers, on performance appraisal of land consolidation (including land consolidation benefits, etc.) published in the core journals in the Chinese Journal Full-text Database, as the study samples; conduct analysis in terms of the number of papers, the paper source journals, the...

Experimental studies are carried out to investigate cold flow field and combustion performance of a workable liquid-fueled trapped vortex combustor (TVC). A remarkable design of the model is that all the air flows through the combustor is supplied from a single source, which makes it distinct...

A service plan is a type of optional warranty beyond manufacturers' base warranties that retailers offer to consumers. In this paper, we examine how a service plan affects the role played by a manufacturer's base warranty. Analysis shows that when consumers can assess product quality (i.e., the...

In the aftermath of the global financial crisis, much attention has been paid to investigating the appropriateness of the current practice of default risk modeling in banking, finance and insurance industries. A recent empirical study by Guo et al.(2008) shows that the time difference between...

Motivated by the business practice whereby some manufacturers open their own retail stores despite the existence of more efficient independent retailers, this paper examines the distribution channel choice of competing manufacturers under demand uncertainty and resale price maintenance. We...

In this paper we generalize the primal--dual cone affine scaling algorithm of Sturm and Zhang to semidefinite programming.We show in this paper that the underlying ideas of the cone affine scaling algorithm can be naturely applied to semidefiniteprogramming, resulting in a new algorithm....

In this paper we discuss a locational model with a profit-maximizing objective. The model can be illustrated by the followingsituation. There is a set of potential customers in a given region. A firm enters the market and wants to sell a certainproduct to this set of customers. The location and...

In this paper we consider optimization problems defined by a quadraticobjective function and a finite number of quadratic inequality constraints.Given that the objective function is bounded over the feasible set, we presenta comprehensive study of the conditions under which the optimal solution...