The variables in parentheses next to the expressions (2)-(8) are Lagrangean
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.
relaxation for integer programming," Mathematical Programming, no.
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.
Benders decomposition, lagrangean
relaxation and metaheuristic design.
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.
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.