A priority-based goal programming method for solving academic personnel planning problems with interval-valued resource goals in university management system

This paper describes a goal programming (GP) procedure for modelling and solving academic resource planning problems in university management system. In the academic resource planning context, certain objectives having the characteristics of fractional programming problems are considered as interval-valued goals to make a satisfactory decision regarding staff allocation for smooth functioning of the academic activities of the departments. In the proposed approach, the interval-valued goals are first converted into the standard goals by using interval arithmetic technique. Then, the fractional goals are transformed into linear goals by using linearisation approach to solve the problem by employing linear GP methodology. In the model formulation of the problem, both the aspects of GP, minsum and minimax approaches, are addressed to construct the goal achievement function for minimising the possible regret towards achieving the goal values within the target intervals specified by the decision maker (DM) in the decision making environment. A demonstrative case example of the University of Kalyani, West Bengal (W.B.), India is considered to expound the proposed model.