Conservation of resource in a chemical process industry is posed as a network flow optimization problem and a simple algebraic methodology is proposed to solve the optimization problem.
This is then formulated as a gradient flow optimization problem.
We leverage this to develop a real-time control strategy, model predictive control, which at each time step solves a dynamic power flow optimization problem, using forecasts of future quantities such as demands, capacities, or prices, to choose the current power flow values.
The paper inspects and analyzes optimal routing with uncertain traffic demand and fairness constraints, thus the authors end up with a stochastic maximum concurrent flow optimization problem.
A discrete adjoint formulation with an ad hoc flow solver has been recently developed and tested on transonic inviscid flow optimization problems.
They model the problem as a flow-based optimization problem and propose two iterative flow-oriented channel assignment heuristics for the conflict-free and interference-aware cases, respectively.
The single loop material flow system design is a combinatorial optimization problem, arising in material handling system design, which amounts to designing an unidirectional loop flow pattern as well as to locate pickup and delivery stations.
The priority based restoration scheme is formulated as a centralized path flow integer programming optimization problem serving as a comparison benchmark for suboptimal distributed schemes.
The next section shows how (3) can further be written as a flow problem, i.e. technically a constrained optimization problem over the edges of the graph rather than the set of paths in P. A computationally feasible approach can then be devised to solve (3) efficiently, following Mairal and Yu (2012).
The flow field may be obtained from engineering knowledge or as a solution to an optimization problem.
We develop an adaptive flow that analyzes a given Boolean optimization problem and selects the solving method that best fits the problem characteristics.
