Research on Goal Programming Algorithm Based on Lingo

Goal programming is an important branch of operational research. In this paper, the theory of goal programming is detailed introduced including basic concepts, the mathematical mode. The basic ideas to solve goal programming are transforming goal programming into single-objective linear programming. An optimal solution is attained when all the goals are reached as close as possible to their aspiration level, while satisfying a set of constraints. Two solving methods-the simplex algorithm and the method of LINGO software t are discussed in the paper. Finally goal programming model are applied to the actual management decisions, multi-objective programming model are established and used Lingo software to achieve satisfied solution.

[1]  Feifei Li,et al.  Optimized Traveling Route Scheme based on Improved Prim Algorithm , 2012 .

[2]  V. Ravirala,et al.  GOAL-PROGRAMMING METHODOLOGY FOR INTEGRATING PAVEMENT AND BRIDGE PROGRAMS , 1995 .

[3]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[4]  Abraham Charnes,et al.  Optimal Estimation of Executive Compensation by Linear Programming , 1955 .

[5]  Lankang Zhang.  Study on Spectral Risk Measure in Stochastic Capacity Planning Problem , 2012 .

[6]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[7]  Tadeusz Trzaskalik,et al.  Multiple objective and goal programming : recent developments , 2002 .

[8]  Yanmei Yang,et al.  Research on Epidemiologic Analysis of Physique Degradation for University Students , 2012 .

[9]  Rongbo Zhu,et al.  Efficient Routing Algorithm Based on Decision-making Sequence in Wireless Mesh Networks , 2012, J. Networks.

[10]  Sang M. Lee,et al.  Goal programming for decision analysis , 1972 .

[11]  Bingzhou Li,et al.  Modelling for Cruise Two-Dimensional Online Revenue Management System , 2010, J. Digit. Content Technol. its Appl..

[12]  Bruno Simeone,et al.  Local search algorithms for political districting , 2008, Eur. J. Oper. Res..

[13]  Hsing Hung Chen,et al.  Operations of IT Projects with Balanced Exploitative and Exploratory Activities , 2012 .

[14]  Roger M. Y. Ho,et al.  Goal programming and extensions , 1976 .

[15]  Gilbert Laporte,et al.  A tabu search heuristic and adaptive memory procedure for political districting , 2003, Eur. J. Oper. Res..

[16]  Fouad Ben Abdelaziz.  Multiple objective programming and goal programming: New trends and applications , 2007, Eur. J. Oper. Res..