[PDF] Top 20 Using Harmonic Mean to Solve Multi Objective Linear Programming Problems

... A multi-objective linear programming problem is introduced by Chandra Sen [1] and suggests an approach to construct the multi-objective function under the limitation that the ... See full document

... for multi-objective fractional programming ...discussed harmonic mean to solve multi-objective linear programming ...generalized ... See full document

... real-life problems, attracting researchers of many fields including Artificial Intelligence, Operations Research, and Algorithm Design and ...and linear programming. Conventional linear ... See full document

... solving Multi-objective intuitionistic fuzzy linear programming problem and Multi-objective intuitionistic fuzzy linear fractional programming problem by ... See full document

... to solve multi-objective linear bilevel pro- gramming problems ...solving multi- objective linear bilevel multi-follower programming ...Fuzzy ... See full document

... There exist several methodologies to solve MOLFP problem in the literature. Among them, few approaches have been reported in the early age. Kornbluth and Steuer [1] considered MOLFP problem and presented a ... See full document

... e STP was first stated by Shell, 1955. Haley,1962 introduced a solution procedure for solving STP which is an extension of the modified distribution method. As known, fuzzy set theory was introduced by Zadeh, 1965 to ... See full document

... and multi-objective linear programming problems; automated generation of the corresponding weights attached to multi-objective functions for a given problem; loading and ... See full document

... Fuzzy Multi Objective LPP is first reduced to crisp Multi Objective LPP using ranking ...crisp Multi Objective LPP is then solved by Zimmerman Technique using ... See full document

... Each objective function in ...are linear. The problem (2.5) for j  k is, therefore, a convex programming problem which can be solved by using any method of convex ...p problems for k  ... See full document

... single objective function in crisp environment for different type of assignment ...by using the transportation simplex method, but due to the high degree of degeneracy in the problem, it is often ... See full document

... cost objective (MCO) in the system while satisfying the reliability, energy demand, stability and battery constraints in the ...emissions objective (MEO) is also an important objective to achieve the ... See full document

... Multi-level programming problem (MLPP) is used to deal hierarchical decision making ...to solve multi-level ...MLP using fuzzy approach. Interactive fuzzy programming for ... See full document

... in objective function which is based on Charnes and Cooper technique (2012) solved the LFP problem by algebraic approach which depends on the duality concept and the partial ...one objective function ... See full document

... Linear programming is a tool which is used in operation researches, it is important for solving the real life problems through its efficiency and ...Fuzzy linear programming method is ... See full document

... Multi-objective linear fractional programming problem (MOLFPP) with system constraints is a prominent tool for solving many practical decision making ...the objective functions are the ... See full document

... Goal programming can be viewed in two ...of linear programming to include multi objectives, expressed by means of attempted achievement of goal ...consideration, linear ... See full document

... possibilistic programming differs from fuzzy mathematical programming in a sense of the uncertainty is characterized in the coefficients of goals and/or constraints of the mathematical programming ... See full document

... to solve MOFP, the problems are converted into single objective fractional programming problems and then solved employing the well known available techniques of single objective ... See full document

... One of the methods in literature for solving (1) is the trapezoidal rule. This is obtained by settingn equal to 1, and takes the curve between two consecutive points as linear. Thus, we terminate the sequence on ... See full document