The Modified Sequential Linear Goal Programming Method for Solving Multiple Objectives Linear Programming Problems

2016 ◽  
Vol 5 (1) ◽  
pp. 1
Author(s):  
Geleta Tadele Mohammed
Author(s):  
Watheq Hayawi Laith

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.


2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Shu-Cheng Lin ◽  
Han-Wen Tuan ◽  
Peterson Julian

We examined the solution process for linear programming problems under a fuzzy and random environment to transform fuzzy stochastic goal programming problems into standard linear programming problems. A previous paper that revised the solution process with the lower-side attainment index motivated our work. In this paper, we worked on a revision for both-side attainment index to amend its definition and theorems. Two previous examples were used to examine and demonstrate our improvement over previous results. Our findings not only improve the previous paper with both-side attainment index, but also provide a theoretical extension from lower-side attainment index to the both-side attainment index.


2006 ◽  
Vol 05 (03) ◽  
pp. 513-530 ◽  
Author(s):  
XIAODONG JI ◽  
XIUJUAN ZHAO ◽  
XIULI CHAO

Based on cluster analysis, a novel method is introduced in this paper to generate multistage scenarios. A linear programming model is proposed to exclude the arbitrage opportunity by appending a scenario to the generated scenario set. By means of a cited stochastic linear goal programming portfolio model, a case is given to exhibit the virtues of this scenario generation approach.


2016 ◽  
Vol 2 (1) ◽  
pp. 52 ◽  
Author(s):  
Fauziyah Fauziyah

The company has multiple objectives that want to be achieved, which are maximizing selling, maximizing production and minimizing the cost production without reducing the quality of the product. The objective contains different aspects and so often incompatible with each other. To provide an optimal solution with respect to those objectives of some predetermined goals, the applied method that used is goal programming. The goal programming show that it is run by using the LINDO program. The result of the goal programming method can maximize the total selling and total production by minimize cost. The result showed that the define objectives achieved optimally


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