TheWiener diffusion model with two absorbing barriers is often used to describe response times and error probabilities in two-choice decisions. Different representations exist for the density and cumulative distribution of first-passage times, all including infinite series, but with different convergence for small and large times. We present a method that controls the approximation error of the...

To model and solve complex Supply Chain problems we study the relationship between the discreteand continuous-time State-Task Network (STN) representations. We show that the first is a special case of the second. We also propose a new mixed-time representation where the time grid is fixed but processing times are allowed to be variable and span an unknown number of time periods. The proposed sc...

This paper presents an algorithm to identify a state-space model of a linear system using a backward-time approach. The procedure consists of three basic steps. First, the Markov parameters of a backward-time observer are computed from experimental input-output data. Second, the backward-time observer Markov parameters are decomposed to obtain the hackward-time system Markov parameters (backwar...

Notes, ornaments and intervals are examples of basic musical elements. Their representation as discrete-time digital audio plays a central role in software for music creation and design. Nevertheless, there is no systematic relation, in analytical terms, of these musical elements to the sonic samples. Such a compendium enables scientific experiments in precise and trustful ways, among education...

Purpose – The purpose of this paper is to develop a facade for seamlessly using locating services and enabling easy development of an application with indoor and outdoor location information without being aware of the difference of individual services. To achieve this purpose, in this paper, a unified locating service, called KULOCS (Kobe-University Unified LOCating Service), which horizontally...

The influence of time dependent medium modifications of low mass vector mesons on dilepton production is investigated using nonequilibrium quantum field theory. By working in the two-time representation memory effects are fully taken into account. For different scenarios the resulting dilepton yields are compared to quasi-equilibrium calculations and remarkable differences are found leading to ...

We present logspace algorithms for the canonical labeling problem and the representation problem of Helly circular-arc (HCA) graphs. The first step is a reduction to canonical labeling and representation of interval intersection matrices. In a second step, the Δ trees employed in McConnell’s linear time representation algorithm for interval matrices are adapted to the logspace setting and endow...

We propose two mixed-integer linear programming based approaches for the 2-D orthogonal strip packing problem. Using the knowledge of the alternative forms of time representation in scheduling formulations, we show how to efficiently combine three different concepts into the xand ydimensions. One model features a discrete representation of the x-axis (strip width) and a continuous representatio...

We consider a SO(d) gauge theory in an Euclidean d-dimensional space-time, which is known to be renormalizable to all orders in perturbation theory for 2 ≤ d ≤ 4. Then, with the help of a space-time representation of the gauge group, the gauge theory is mapped into a curved space-time with linear connection. Further, in that mapping the gauge field plays the role of the linear connection of the...

Abstract:This paper addresses the short-term scheduling problem for the ethylene cracking process with feedstocks and energy constraints. The cracking production of ethylene is a process with units that have decaying performance, requiring periodic cleanup to restore their performance. Under the condition of limited feedstocks, the production operating mode of the cracking furnaces is to keep y...