While most of the published exact methods for solving multiobjective integer linear programming (MOILP) problems are based on solving many integer linear programs (ILP), we propose a branch and bound multi-objective method to find the whole non-dominated set. Two types of nodes are created in the tree. The first type corresponds to not integer optimal solution of solved (LP) problems . In this ...

introduction: estimation of cation exchange capacity (cec) with reliable soil properties can save time and cost. pedotransfer function (ptf) is a common method in estimating certain soil properties (e.g. cec) that has been wieldy used for many years. one of the common techniques that have been used to develop ptfs is multiple linear regressions. in this method, all easily obtained soil properti...

In the present paper a bi-objective integer linear programming problem (BILP) is discussed. The main effort in this work to effectively implement ?-constraint method produce complete set of non dominated points. convergence algorithm has been established theoretically. Further comparative study some existing also made.

Abstract In this article we introduce robustness measures in the context of multi-objective integer linear programming problems. The proposed are line with concept decision robustness, which considers uncertainty respect to implementation a specific solution. An efficient solution is considered be robust if many solutions its neighborhood as well. This rather new area research differs from conc...