Programming with parametric elements of the matrix coefficients

Many studies have been carned out concermng parametnc programming of the objective function coefficients and also the parametnc programming of the constant terms of the constraints has been extensively studied However, many authors state that parametnc programming of éléments of the matrix coefficients is simple and useful only when the coefficients that vary correspond to nonbasic vee tors, and that when, on the other hand, they correspond to baste vectors the complexiiy of the topic does not make this type of parametnc programming very useful In this article one obtains a formula which détermines the cntical values o f a parameter which ajfects the coefficients of a baste vector While the parameter does not reach these hmits, the new vector continues forming a feasible basis with the remaimng vectors of the optimal basis Five useful examples of parametnc programming of éléments of the matrix coefficients have been given in 1963 by Henri Maunn [1] with détermination of the cntical values of the parameter