Effect Of The Changes In The Weights On The Solution Of The Preemptive Weighted Linear Goal Programming Problems

Abstract The purpose of this paper is to study the effect of the changes in the weights wik w-ik of the deviational variables ni pi nipi in the achievement function of the Weighted Linear Goal Programming Problem GPP. If the weights of the deviational variables associated with priority levels are increaseddecreased Lees Modified Simplex method showed that an achievement level of unachieved priorities are decreasedincreased respectively and the values of decision variables remain unchanged. While the standard simplex method showed that if the weights of the deviational variables are increaseddecreased an achievement level of the priorities are decreasedincreased respectively the values of decision variables remain unchanged for some weighting structures and there exist some other weighting structures for which the solution of GPP is changed. Thus Standard simplex method can be used for solution and sensitivity analysis of a particular class of WGPP.