Stochastic dominance is a partial order on risky assets (“gambles”) that is based on the uniform preference, of all decision-makers (in an appropriate class), for one gamble over another. We modify this, first, by taking into account the status quo (given by the current wealth) and the possibility of rejecting gambles, and second, by comparing rejections that are substantive (that is, uniform o...

Employing more than one supplier and splitting orders between them is a strategy employed in supply chains to lessen the lead-time risk in unstable environments. In this paper we present a multiple-sourcing inventory system with stochastic lead-times and constant demand controlled by a continuous review, reorder point-order quantity inventory policy. We consider the situation in which the order...

This paper models limit order books where each trader is uncertain of the underlying distribution in the asset’s value to others. If this uncertainty is rapidly resolved, fleeting limit orders are submitted and quickly cancelled. This enhances liquidity supply, but leaves intact established comparative statics results on spreads. However, risk neutral liquidity suppliers are averse to persisten...

In this overview paper, we introduce an application of stochastic orders in wireless communications. In particular, we show how to use stochastic orders to investigate the ergodic capacity results for fast fading Gaussian memoryless multiuser channels when only the statistics of the channel state information are known at the transmitters (CSIT). In general, the characterization of the capacity ...

Stochastic quantization is used to derive exact equations, connecting multilocal field correlators in the ϕ 3 theory and gluodynamics. Perturbative expansion of the obtained equations in the lowest orders is presented.

This paper deals with the determination of machine numbers and production schedules in manufacturing environments. In this line, a two-stage fuzzy stochastic programming model is discussed with fuzzy processing times where both deterioration and learning effects are evaluated simultaneously. The first stage focuses on the type and number of machines in order to minimize the total costs associat...

The effect of noise on the nonlinear photoionization of an atom due to a femtosecond pulse is investigated in the framework of the stochastic Schrödinger equation. A modest amount of white noise results in an enhancement of the net ionization yield by several orders of magnitude, giving rise to a form of quantum stochastic resonance. We demonstrate that this effect is preserved if the white noi...

In the present communication, we discuss some reliability properties of mean inactivity time order and study the preservation of mean inactivity time under some weight function. Weighted Distribution methods arise in the context of research related to reliability, data gathering, ecology, inference, modeling, bio-medicine and several other areas. In general, weighted distributions have wide rol...

We present a modification of the Real-Time Dynamic Programming (rtdp) algorithm that makes it a genuine off-line algorithm for solving Stochastic Shortest-Path problems. Also, a new domainindependent and admissible heuristic is presented for Stochastic Shortest-Path problems. The new algorithm and heuristic are compared with Value Iteration over benchmark problems with large state spaces. The r...

A matrix representation of the evolution operator associated with a nonlinear stochastic flow with additive noise is used to compute its spectrum. In the weak noise limit a perturbative expansion for the spectrum is formulated in terms of local matrix representations of the evolution operator centered on classical periodic orbits. The evaluation of perturbative corrections is easier to implemen...