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...

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.

The assumption of a homothetic production function is often maintained in production economics. In this paper we explore the possibility of maintaining homotheticity within a nonparametric DEA framework. The main contribution of this paper is to use the approach suggested by Hanoch and...

The formation of the European Union (EU) is the one of the biggest political – economic events of the last 50 years. The aim of this study is to develop EU economy functioning system dynamic model. Main research method is system dynamics. General scheme of EU economy system dynamic model is...

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...

This paper proposes and studies an optimal placement problem in a limit order book. To gain some analytical insights, a simple correlated random walk model with mean-reversion is proposed for the best ask price. Optimal placement strategies for both single-period and multi-period cases are...

Order positions are key variables in algorithmic trading. This paper studies the limiting behavior of order positions and related queues in a limit order book. In addition to the fluid and diffusion limits for the processes, fluctuations of order positions and related queues around their fluid...