Article ID: | iaor19971563 |
Country: | Singapore |
Volume: | 12 |
Issue: | 2 |
Start Page Number: | 187 |
End Page Number: | 198 |
Publication Date: | Nov 1995 |
Journal: | Asia-Pacific Journal of Operational Research |
Authors: | Bhatt S.K., Punnen Abraham P. |
A linear sharing problem is defined as a mathematical programming problem with a max-min objective function comprised of continuous, non-decreasing trade-off functions and linear constraints. In this paper several sharing models are proposed where the objective function involves ratios in various forms. For such ratio-sharing problems, some properties are derived, efficient algorithms are proposed, and computational experience is reported.