In this work a new approach to address multivariable control structure (MCS) design for medium/large-scale processes is proposed. The classical MCS design methodologies rely on superstructure representations which define sequential and/or bilevel mixed-integer nonlinear programming (MINLP) problems. The main drawbacks of this kind of approach are the complexity of the required solution methods (stochastic/deterministic global search), the computational time, and the optimality of the solution when simplifications are made. Instead, this work shows that, by using the sum of squared deviations (SSD) as well as the net load evaluation (NLE) concepts, the control structure design problem can be formulated as a mixed-integer quadratic programming (MIQP) model with linear constraints, featuring both optimality and improved computational performance due to state-of-the-art solvers. The formulation is implemented in the GAMS environment using CPLEX as the selected solver and two typical case studies are presented to show the benefits of the proposed approach.
In this paper, we propose a multi-period mixed-integer linear programming model for optimal enterpriselevel planning of industrial gas operations. The objective is to minimize the total cost of production and distribution of liquid products by coordinating production decisions at multiple plants and distribution decisions at multiple depots. Production decisions include production modes and rates that determine power consumption. Distribution decisions involve source, destination, quantity, route, and time of each truck delivery. The selection of routes is a critical factor of the distribution cost. The main goal of this contribution is to assess the benefits of optimal coordination of production and distribution. The proposed methodology has been tested on small, medium, and large size examples. The results show that significant benefits can be obtained with higher coordination among plants/depots in order to fulfill a common set of shared customer demands. The application to real industrial size test cases is also discussed.
This
paper addresses industrial gases supply chains involving multiple
products at multiple plants that must be coordinated with multiple
depot-truck-routes in order to satisfy customer demands.
The full-space optimization problem corresponds to a large-scale mixed-integer
linear programming model (MILP). To solve large-scale industrial problems,
this paper proposes a rolling horizon approach with two aggregation
strategies for solving the smaller subproblems. The first one relies
on the linear programming (LP) relaxation for which the binary variables
(complicating variables) of the distribution problem are treated as
continuous, while the second one uses a novel tailored model for the
distribution side constraints that leads to improved solutions. A
real case study of an industrial gases supply chain has been addressed
obtaining good results in both objective value and with lower computational
effort compared with the full-space solution. The extension to longer
time horizons through a receding horizon is also considered.
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