This paper presents a simulation model for experimenting with locally adaptive movement strategies for robots involved in collective robotic search tasks in rapidly changing and uncertain environments. The model assumes that the nature of the environment restricts inter-robot communication and uses a form of stigmergy based local communication which has been widely applied in collective robots....

The maximum flow problem is one of the important problems of network optimization and covers a wide range of engineering and management applications. Different from the existing works, this paper investigates the maximum flow problem of an uncertain random network under the framework of chance theory. An model of uncertain random α-maximum flow problem is exhibited. And then, it is proved that ...

In this paper, a new robust filtering problem is investigated for a class of time-varying nonlinear system with norm-bounded parameter uncertainties, bounded state delay, sector-bounded nonlinearity and probabilistic sensor gain faults. The probabilistic sensor reductions are modeled by using a random variable that obeys a specific distribution in a known interval , which accounts for the follo...

A single-period, uncertain demand inventory model is analyzed under the assumption that the quantity ordered (produced) is a random variable. We first conduct a comprehensive analysis of the well known single period production/inventory model with random yield. Then, we extend some of the results existing in literature: our main contribution is to show that earlier results are only valid for a ...

Uncertain input parameters may result from "fuzziness", "randomness" or "fuzzy randomness". With the use of fuzzy set theory, uncertain input parameters may be described mathematically as fuzzy variables or fuzzy random variables and may be integrated into safety assessment analysis. With the aid of -discretization involving the multiple solution of special optimization problems, fuzzy input pa...

This paper considers an extension of probability space based on interval random variables. In this approach, first, a notion of interval random variable is introduced. Then, based on a family of continuous distribution functions with interval parameters, a concept of probability space of an interval random variable is proposed. Then, the mean and variance of an interval random variable are intr...

When communication lines in an interconnection network are prone to random transmission failures, the time required to broadcast a message throughout the network from a given source vertex is uncertain. We view this broadcast time in such unreliable networks as a random variable dependent on the strategy employed by individual nodes to inform their neighbours, and we seek to describe those stra...

[1] In this study, we directly derive first-order analytical solutions to the pressure head moments (mean and variance) for one-dimensional steady state unsaturated flow in randomly heterogeneous layered soil columns under various random boundary conditions. We assume that the constitutive relation between the unsaturated hydraulic conductivity and the pressure head follows an exponential model...

This article deals with an economic order quantity (EOQ) inventory model for items with imperfect quality in fuzzy stochastic environment, wherein shortages are allowed and completely backlogged. Fuzzy stochastic environment means linguistic ‘impreciseness’ and statistical ‘uncertainty’ both appear simultaneously. Due to uncertain demand trend, imperfect production process, natural disaster etc...