Linear Goal Programming Method for Optimal Decision Making of Multi-Criteria Assignment Problems

Abstract

The decision making process is the essence of the administrative process and its means of achieving the goals of the service organizations or productivity because the decision contributes mainly to enable them to carry out their administrative activities efficiently and effectively. The assignment process is one of the most important problems affecting the organizations performance because to determine the administrative composition of the organization. The correct decision making to the assignment problem and the right person in the right place will increase the efficiency and effectiveness of the organization. The previous methods to solve these problems depend on a single criterion such as cost, profit, time and so on. In this paper, three models were formulated for the of multi-criteria assignment problem. The first model multiple objective for present assignment problem when the assignment matrix is square, while the second and third models are a non-square assignment problem. The second model is the number of rows is greater than the number of columns while the third model where the number of columns larger than the rows. The second model is applied to the assignment problem of unit managers in the college of Administration and Economics based on two criteria: deferring the employee's desire to leader of task and the other criterion of assignment cost and using goal programming method. The data were collected by questionnaire.