Goal Programming Approaches to Solving Linear Decision Rule Based Aggregate Production Planning Models

Abstract This paper reviews several goal programming extensions to the Linear Decision Rule Formulation of the Aggregate Production Planning Problem, and presents an extension using Polynomial Goal Programming. Employing a well known problem as a point of reference, the solution of the various model formulations is illustrated using commercially available mathematical programming software.

[1]  E. M. L. Beale,et al.  Nonlinear and Dynamic Programming , 1965 .

[2]  Leon S. Lasdon,et al.  Generalized Reduced Gradient Software for Linearly and Nonlinearly Constrained Problems , 1978 .

[3]  David A. Goodman,et al.  A Goal Programming Approach to Aggregate Planning of Production and Work Force , 1974 .

[4]  C. C. Holt,et al.  Planning Production, Inventories, and Work Force. , 1962 .

[5]  Leon S. Lasdon,et al.  The Status of Nonlinear Programming Software , 1979, Oper. Res..

[6]  Arunachalam Ravindran,et al.  Computer experiments on quadratic programming algorithms , 1981 .

[7]  Abraham Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[8]  David Burden,et al.  Production-Inventory Systems: Planning and Control , 1979 .

[9]  Curtis H. Jones.  Parametric Production Planning , 1967 .

[10]  Gary R. Reeves.  A NOTE ON QUADRATIC PREFERENCES AND GOAL PROGRAMMING , 1978 .

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

[12]  C. C. Holt,et al.  A Linear Decision Rule for Production and Employment Scheduling , 1955 .

[13]  Keith G. Lockyer,et al.  A practical approach to production scheduling , 1979 .

[14]  James P. Ignizio,et al.  A Review of Goal Programming: A Tool for Multiobjective Analysis , 1978 .

[15]  W. Taubert.  A Search Decision Rule for the Aggregate Scheduling Problem , 1968 .

[16]  C. Holt,et al.  Derivation of a Linear Decision Rule for Production and Employment , 1956 .

[17]  Joel G. Siegel,et al.  QUADRATIC PREFERENCES AND GOAL PROGRAMMING , 1975 .

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