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In this work, we describe short-term and medium-term scheduling for a largescale industrial continuous plant. For medium-range scheduling, two subproblems are solved using a rolling horizon based decomposition scheme. An upper-level model is used to find the optimal number of products, and length of the time horizon to be considered for solving the lower level short-term scheduling problem. At ...
We provide new proofs for two functional central limit theorems, and prove strong approximations for the cumulative “on” times in alternating renewal processes. The proofs rely on a first-passage-time representation of the cumulative “on” time process. As an application, we establish strong approximations for the queueing process in a single-server fluid queue with “on–off” sources.
We propose two mixed-integer linear programming based approaches for the 2-D orthogonal strip packing problem. Using knowledge from 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 on the x-axis (strip width) and a continuous representation ...
This paper reviews the advances of mixed-integer linear programming (MILP) based approaches for the scheduling of chemical processing systems. We focus on the short-term scheduling of general network represented processes. First, the various mathematical models that have been proposed in the literature are classified mainly based on the time representation. Discrete-time and continuous-time mod...
The paper contains a proposal for an energy and time representation. We construct modes that correspond to fuzzy distributions around discrete values of energy or time. The modes form an orthogonal and complete set in the space of square integrable functions. Energy and time are self adjoint in the space spanned by the modes. The widths of the modes are analyzed as well as their energy-time unc...
This work presents an alternative MILP mathematical formulation for the shortterm scheduling of pipeless batch plants based on a continuous-time representation that relies on the general precedence notion. Besides of the intrinsic characteristics of a pipeless plant, this model considers the moveable vessels as an additional resource that has to be allocated and sequenced. This fact allows prop...
Today, infinite possibilities exist to map different information’s dimensions. However, it is necessary to reflect on new map shape possibilities with geovisualization process. This research focuses on the time representation that appears, when observing maps on the Internet, as a dimension with a high development potential. Our goal is to develop a geovisualization method of different objects ...
We compute the influence of boundary conditions on the Euler-Heisenberg effective Lagrangian scalar QED scalar for the case of a pure magnetic field. The boundary conditions constrain the quantum scalar field to vanish on two parallel planes separeted by a distance a and the magnetic field is assumed to be constant, uniform and perpendicular to the planes. The effective Lagrangian is obtained u...
This paper presents a unified locating service, KULOCS, which horizontally integrates the existing heterogeneous locating services. Focusing on technology-independent elements [when], [where] and [who] in querying locations of objects, KULOCS integrates data and operations of the existing services. In the data integration, we propose a method where the time representation, the locations, the na...
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