Lagrangian

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Lagrangian

[lə′grän·jē·ən]
(mechanics)
The difference between the kinetic energy and the potential energy of a system of particles, expressed as a function of generalized coordinates and velocities from which Lagrange's equations can be derived. Also known as kinetic potential; Lagrange function.
For a dynamical system of fields, a function which plays the same role as the Lagrangian of a system of particles; its integral over a time interval is a maximum or a minimum with respect to infinitesimal variations of the fields, provided the initial and final fields are held fixed.
References in periodicals archive ?
The variables in parentheses next to the expressions (2)-(8) are Lagrangean multipliers.
In terms of the Lagrangean, we therefore need to consider two cases.
(2011) considered the fluctuation of customer demand and proposed the Lagrangean relaxation approach to solve their problem.
Klimek, "Lagrangean and Hamiltonian fractional sequential mechanics," Czechoslovak Journal of Physics, vol.
Vercellis, "Constrained multi-project plannings problems: a Lagrangean decomposition approach," European Journal of Operational Research, vol.
Mingozzi, "An exact method for the car pooling problem based on Lagrangean column generation," Operations Research, vol.
Pernici, "Heterotic-string Lagrangean in the bosonic formulation," Physical Review Letters, vol.
Lagrangean Relaxation-based heuristics were investigated by Beasley (1993) and Tragantalerngsak et al.
Transmission capacity constraints have an influence on nodal prices through the Lagrangean multipliers [[eta].sub.1] and [[eta].sub.2].
The topics include a supply chain network design using an enhanced hybrid swarm-based optimization algorithm, applying artificial bee colony algorithms to antenna design problems for radio frequency identification applications, software module clustering using biologically inspired algorithms, Dantzig-Wolfe decompositions and Lagrangean relaxation-based heuristics for integrated production and maintenance planning with time windows, and some aspects of energy efficiency for refrigeration and air conditioning.

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