[PDF] Top 20 Generating Efficient Solutions in Bilevel Multi Objective Programming Problems

... address bilevel multi-objective prob- lems in which the decision maker at each level has mul- tiple objective functions conflicting with each ...artificial multi-objective ... See full document

... for generating all efficient solutions for multiple objective integer linear fractional programming problems is presented The method does not require any nonlinear ...linear ... See full document

... addresses bilevel linear multi-objective problem issues ...of bilevel linear pro- gramming problems where each decision maker has several objective functions conflicting with ... See full document

... semivectorial bilevel programming ...efficient solutions for the lower-level multiobjec- tive optimization the problem ...upper-level objective function to derive a set-valued optimization ... See full document

... the objective functions coefficients are triangular fuzzy ...solving multi- objective optimization ...solving multi-objective reliability optimization ... efficient solution for ... See full document

... In multi-objective programming, several conflicting and non- commensurate objective functions have to be optimized over a feasible set determined by constraint ...nonlinear programming ... See full document

... selection problems as single and multiple ...a multi- objective mixed integer programming model for supplier selection and order allocation among the selected ...new multi-criteria ... See full document

... commitment problems and remove the modification phase during the ...the generating unit limits as well as the limits on the fuel, emission, water reservoir and discharge, and transmission ...single- ... See full document

... develop efficient algorithms, most algorithmic research to date has focused on some special cases of bilevel programs with convex/concave functions[1,2,6–9], especially, con- vex follower’s functions ... See full document

... Convexity and its generalizations played a critical role in multi-objective programming problems. In many generalizations, approximate convexity and invexity are two significant generalized ... See full document

... Two objective functions including investment cost (IC) and congestion cost (CC) are ...formulated multi-objective mathematical programming is solved by augmented ε-constraint method which is ... See full document

... characterizing efficient solutions of mul- tiobjective programming problems ...an efficient solution for multiob- jective roughly B-invex programming problem (P) in term of an ... See full document

... combining objective functions in a multi – objective programming problem may favour some objective functions and thus suppressing the impact of others in the overall analysis of the ... See full document

... for multi-objective linear fractional programming ...fractional objective functions and Zimmermann approach is applied to find the fuzzy efficient of ...find efficient solution: ... See full document

... an efficient solution of MOLFP problem using goal ...an efficient solution of MOLFP problem based on a theorem studied in a work by Dinkelbach [5], where he converted the main problem into a single linear ... See full document

... In this study, determining the target goals for each goal taking into account the decision variables of the ideal solution for other goals. This means that the goal to be obtained is not only the maximum ideal solution ... See full document

... Bilevel programming has been proposed for dealing with decision processes involving two decision makers with a hierarchical ...A bilevel programming problem (BLPP) consists of two levels, ... See full document

... Geometric Programming Problem (GPP) is a special type of nonlinear pro- gramming that often used in the applications for production planning, personal allocation, distribution, risk managements, chemical process ... See full document

... functions, the optimal solution x ∗ x ∗ 1 , x ∗ 2 of the first-level MOLFP problem should be determined first. Following Pal et al. approach 26, the optimal solution x ∗ x 1 ∗ , x ∗ 2 could be obtained. It may be noted ... See full document

... solving multi-objective programming problem (MOLPP) and to suggest a new algorithm to convert the MOLPP into a single LPP by using harmonic mean of the values of objective functions and its ... See full document