The results show that the multi-dimensional integration model offers a new way and platform for the integrating fire safety assessment of whole structure or region, and the integrated software developed is the useful engineering tools for cost-saving and safe design.
An approximate method is used to by-pass multi-dimensional integration involved in obtaining the marginal distributions, while removing the need of using traditional conjugate prior distributions.
Numerical tests for multi-dimensional integration and for stochastic elliptic problems suggest that ν⩾μ for monotonic convergence of the method.
Finally, we compare the cost of MEPCM-A against Monte Carlo in several hundred dimensions, and we find MEPCM-A to be more efficient for up to 600 dimensions for a specific multi-dimensional integration problem involving a discontinuous function.
A new multi-dimensional integration model and methodology for fire safety assessment were presented and two newly developed integrated systems were introduced to demonstrate the function of integration simulation technology in this paper.
For a probabilistic constraint where the random vector has a continuous distribution, checking the feasibility of each feasible point requires a complex multi-dimensional integration.
While, a numerical approach can be used to evaluate (22), the computation complexity of calculating above multi-dimensional integration is significant when the number of users presented in the system is large.
noloco is a FORTRAN program and makes use of the CUBA library for multi-dimensional integration [24].
In this work, we present a numerically efficient implementation based on the Monte-Carlo technique for multi-dimensional integration.
In this work, we present an alternative implementation of vdW-DF which is based on the Monte-Carlo method for multi-dimensional integration.
This paper addresses the need for integration concepts, holistic monitoring, analysis methodologies, multi dimensional decision support and scenario based control strategies through the seamless integration of ubiquitous sensing infrastructures, service oriented architectures, BIM tools and Data Warehouse technologies.
