Please use this identifier to cite or link to this item:
|Title:||On the weighting of the mean-absolute-deviation cost minimization model|
|Source:||Wang, S., Meng, Q., Liu, Z. (2013-04). On the weighting of the mean-absolute-deviation cost minimization model. Journal of the Operational Research Society 64 (4) : 622-628. ScholarBank@NUS Repository. https://doi.org/10.1057/jors.2012.73|
|Abstract:||The mean-absolute-deviation cost minimization model, which aims to minimize sum of the mean value and the absolute deviation (AD) of the total cost multiplied by a given non-negative weighting, is one of a number of typical robust optimization models. This paper first uses a straightforward example to show that the solution obtained by this model with some weightings is not actually an optimal decision. This example also illustrates that the mean-absolute-deviation cost minimization model cannot be regarded as the conventional weighted transformation of the relevant multiobjective minimization model aiming to simultaneously minimize the mean value and AD. This paper further proves that the optimal solution obtained by the mean-absolute-deviation cost minimization model with the weighting not exceeding 0.5 will not be absolutely dominated by any other solution. This tight upper bound provides a useful guideline for practical applications. © 2013 Operational Research Society Ltd.|
|Source Title:||Journal of the Operational Research Society|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 27, 2018
WEB OF SCIENCETM
checked on Feb 19, 2018
checked on Mar 12, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.