Electronic Resource
Springer
Journal of optimization theory and applications
54 (1987), S. 383-401
ISSN:
1573-2878
Keywords:
Inventory control
;
multi-item inventory control
;
constrained minimization
;
Lagrangian decomposition approach
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper considers a Lagrangian decomposition approach to a stochastic demand multi-item inventory control problem with a single resource constraint. The work is a generalization of existing decomposition methods. Three decomposition methods are proposed, and bounds on the loss of optimality for each are given in terms of the Lagrange multiplier used. One method allows the calculation of the complete decision rule in advance of the realization of the states, but is expected to perform worse than the other two methods. The second and third method allow the determination of decisions as an optimization problem as the states are realized. Since, in any problem with many states, only a small proportion will actually be realized even in a large time-horizon problem, there may be some advantage in taking this approach.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00939440
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