In this paper, I first prove an integral representation theorem: Every quasi-integral on a Stone lattice can be represented by a unique upper-continuous capacity. I then apply this representation theorem to study the topological structure of the space of all upper-continuous capacities on a...

The critical role of free entry to correct inherent deviance behavior has been stressed by Vanek (1970), Meade (1972) amongst others. The equivalence theorem (Dreze 1976) defines that labour and entrepreneurial management both lead to the same Pareto optimal equilibrium provided that there is...

Given a network, the facility location problem consists of locating a set of sites on the network to serve existing clients so as to minimize its total cost. Special cases include the simple plant location problem (SPLP), bank account location, p-facility location, and p-median problem.

In Van den Akker, Van Hoesel, and Savelsbergh (1994), we have studied a time-indexed formulation for single-machine scheduling problems and have presented a complete characterization of all facet inducing inequalities with right-hand side 1 and 2 for the convex hull of the monotone extension of...

Parallel machine scheduling problems concern the scheduling of "n" jobs on "m" machines to minimize some function of the job completion time. If preemption is not allowed, then most problems are not only NP-hard, but also very hard from a practical point of view. In this paper, we show that...

In this paper we present several "infeasible-start" path-following and potential-reduction primal-dual interior-point methods for non-linear conic problems. These methods try to find a recession direction of the feasible set of a self-dual homogeneous primal-dual problem.