We consider the uncapacitated facility location problem. In this problem, there is a set of locations at which facilities can be built; a xed cost f i is incurred if a facility is opened at location i. Furthermore, there is a set of demand locations to be serviced by the opened facilities; if the demand location j is assigned to a facility at location i, then there is an associated service cost...

in this paper we establish a characterization of abelian compact hausdorff semigroups with unique idempotent and ideal retraction property. we also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.

We study ideal cotorsion pairs associated to almost exact structures in extension closed subcategories of triangulated categories. This approach allows us extend the recent approximation theory developed by Fu, Herzog et al. for categories above mentioned context. In last part paper we apply order projective classes (in particular localization or smashing subcategories) compactly generated

we will apply the successive approximation method forproving the hyers--ulam stability of a linear integral equation ofthe second kind.

The paper develops a measure of consumer welfare losses associated with withheld information about BSE linkage with vCJD. food safety. The Cost of Ignorance (COI) is measured by comparing the utility of the informed choice with the utility of the uninformed one, under condition of improved information. Unlike previous work, based on a single equation demand model, the measure is obtained retrie...

This paper examines the impact of a rise in the Value Added Tax (VAT) on poverty and inequality in Lebanon. To this end, the paper develops an empirical model based on consumer demand theory and uses only household survey data on expenditures and spatial price indexes. The simulation results using an Almost Ideal Demand System show that the projected VAT rate increases will have a limi...

As a counterpart to best approximation, a new kind of approximation, called best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi. In this paper, we use this coapproximation to prove some results on the existence and uniqueness of best coapproximation in quotient spaces when the underlying spaces are metric linear spaces. We shall also see how coproximinality ...