Abstract:
Formulating and solving IQPP is a very interesting and challenging problem. The main
difficulty is that if the constraints have interval coefficients, then the feasible region is not
fixed. Instead there are an infinite number of possible feasible regions and gives different
optimal values. In addition, if the coefficient of the objective function has interval coefficients
then there is also an infinite choice of possible objective functions. For practical purpose, the
problem is to determine the coefficient setting, that produce the best optimum and the worst
optimum problem. This gives an idea of the range of solution spanned by imprecise interval
model. Based on this idea we reduced the IQPP into two classical Quadratic Programming
(QP) problems, one is the best problem and the other is the worst problem. Afterwards these
classical QPP are solved using Beal’s algorithm. Numerical example is presented to
strengthen the idea