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

Abstract

This chapter describes a GP procedure for modelling and solving academic resource planning problems in university management system with interval data uncertainty. In the proposed approach, the interval goals are first converted into the standard goals by using interval arithmetic technique. Certain objectives having the characteristics of fractional programming are transformed into linear goals by using linearization approach to solve the problem by employing linear GP methodology. In the model formulation of the problem, both the aspects of GP, minsum and minmax 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 DM in the decision making environment. The potential use of the approach is illustrated by a case example. The model solution is compared with the solutions of the models studied previously.

A Linear Goal Programming Method for Solving Chance-Constrained Multiobjective Problems with Interval Data Uncertainty

“…The potential use of IVGP to different real-life MODM problems has also been demonstrated by Inuiguchi and Mizoshita [29], Pal et al [30][31][32] in the recent past. A genetic algorithm (GA) [33] based IVGP method to patrol manpower allocation problem has also been proposed Pal et al [34] in the past.…”

“…Following the operational rules in (11)- (14), the plan-valued objectives corresponding to the defined objectives in (1) and (2) can be obtained as [32]:…”

“…Now, to solve the problem by using linear goal programming (LGP) method, it is necessary to transform the quadratic constraints in (22) and (23) to their linear forms. Here, instead of using the traditional variable transformation approach [32], the widely used first-order Taylor series approximation method [41] can be employed to make an ease of solving the problem by using LGP methodology.…”

“…Furthermore, in some real-life problems, objective functions with fractional criteria are found frequently involved in the decision situations. For instance, cost-benefit analysis in agricultural planning [30], faculty, and other staff allocation problems [32] for minimizing certain ratios of students' enrolments and staff structure within academic units of educational institutions, and others. Here, it may be mentioned that decision trouble frequently arises with fractional criteria [37] in course of solving problems.…”

“…Here, it may be mentioned that decision trouble frequently arises with fractional criteria [37] in course of solving problems. The IVGP approach with fractional objectives has been studied by Pal et al [38] and implemented to real-world problems [32,39] in the recent past. However, deep study on methodologies of IVGP that concerned with solving practical problems is at an early stage.…”