Structural approach to parametric analysis of an IP: on the case of the right-hand side

Article Abstract:

The parametric integer linear programming problem whose right hand side (RHS) is modeled by b + theta(b') where b and b' are vectors and theta is a scalar is considered. The problem involves determining the stepsize to locate the region of feasible solutions during parametric analysis of integer problems. To solve it, a procedure based on L. Jenkins' analysis of perturbations on the RHS in an integer program is developed for obtaining the stepsize of parametric analysis on the RHS.

Operations research, Management science, Case studies, Integer programming

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An algorithm for generalized fuzzy binary linear programming problems

Article Abstract:

It has been possible to develop a simple way of expressing a triangular fuzzy number as a linear function with an absolute term. This research involved constructing a trade-off goal programming model to optimize objective function and minimize the sum of possible membership function deviations.

Operations Research, Fuzzy logic, Fuzzy systems

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