Joro T, Korhonen P and Wallenius J (1995). Structural comparison of data envelopment analysis and multiple objective linear programming. Working Paper W-144, Helsinki School of Economics, Helsinki, Finland (17 pages). Home/Search Document Details and Download
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An Interactive Approach To Improve Estimates Of Value.. - Joro, Korhonen, Zionts (1999) Self-citation (Joro Korhonen) (Correct)
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Joro, T., P. Korhonen, and J. Wallenius (1995), "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming", Management Science 44:7, 962-970.
Reference Direction Approach To Multiple Objective Linear.. - Korhonen (1996) Self-citation (Korhonen) (Correct)
....many are still unexplored. Some new interesting ongoing research topics which we would like to mention in conclusion are Multiple Objective Quadratic Linear Programming (Korhonen and Yu [1995] and a Structural Comparison of Data Envelopment Analysis (DEA) and Multiple Objective Linear Programming (Joro, Korhonen, and Wallenius [1995]) ....
Joro, T., Korhonen, P. and Wallenius, J. (1995). "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming", Working Papers W-144, Helsinki School of Economics.
Restricting Weights in Value Efficiency Analysis - Halme, Korhonen (1998) Self-citation (Korhonen) (Correct)
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Joro, T., Korhonen, P. and Wallenius, J. (1998): "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming", Management Science 44, 962-970.
Models for Identifying Target Units in. . . - Joro (1998) Self-citation (Joro) (Correct)
.... minimization and output maximization was introduced as early as 1985 (Charnes, Cooper, Golany, Seiford, and Stutz [1985] Other models considering simultaneous input minimization and output maximization exist (see, for example, Warwick DEA User Manual, Thanassoulis and Dyson [1992] Zhu [1996] Joro, Korhonen and Wallenius [1998] and Halme, Joro, Korhonen, Salo and Wallenius [1998] Combined CCR Primal (CCR P C) Combined BCC Primal (BCC P C) max F C = q e(1 T s 1 T s ) s.t. 2.2a) Yl qy 0 s = y 0 Xl qx 0 s = x 0 l, s , s 0 e 0 max F B = q e(1 T s 1 T s ....
....analogously to the efficient solutions in DEA. One possible, currently popular way to perform the search for solutions on the efficient frontier of a MOLP problem is to use the achievement (scalarizing) function (ASF) suggested by Wierzbicki [1980] This leads to the following formulations: (Joro et al. 1998]) Reference Point Model Primal (REF P ) Reference Point Model Dual (REF D ) max s e (1 T s 1 T s ) s.t. 2.4a) Yl sw y s = g y Xl sw x s = g x l L l, s , s 0 e 0 min n T g x g y x s.t. 2.4b) T Y n T X x1 T 0 ....
Joro, T., Korhonen, P. and Wallenius J. (1998), "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming", Forthcoming in Management Science, July 1998.
Practical Aspects of Value Efficiency Analysis - Korhonen, al. (1998) Self-citation (Korhonen) (Correct)
....Table 1: Modifications of Model (2.1a) for Different (Primal) DEA Models. # Model Type w x g x w y g y L 1 Output Oriented CCR model (Charnes et al. 1978] 0 x 0 y 0 0 n 2 Input Oriented CCR model (Charnes et al. 1978] 2) x 0 0 0 y 0 n 3 Combined CCR model (Joro et al. 1998]) x 0 x 0 y 0 y 0 n 4 Output Oriented BCC model (Banker et al. 1984] 0 x 0 y 0 0 l l n and 1 T l = 1 5 Input Oriented BCC model (Banker et al. 1984] 2) x 0 0 0 y 0 l l n and 1 T l = 1 6 Combined BCC model (Joro et al. 1998] x 0 x ....
.... CCR model (Joro et al. 1998] x 0 x 0 y 0 y 0 n 4 Output Oriented BCC model (Banker et al. 1984] 0 x 0 y 0 0 l l n and 1 T l = 1 5 Input Oriented BCC model (Banker et al. 1984] 2) x 0 0 0 y 0 l l n and 1 T l = 1 6 Combined BCC model (Joro et al. 1998]) x 0 x 0 y 0 y 0 l l n and 1 T l = 1 7 General Combined model x 0 y 0 Each model 1 7 produces an efficient solution corresponding to the given g= g y g x . For simplicity, we assume that g T. Which efficient solution is obtained depends on the ....
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Joro, T., Korhonen, P. and Wallenius, J. (1998): "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming", (Forthcoming in Management Science, July 1998).
Search the Efficient Frontier in Data Envelopment Analysis - Korhonen (1997) Self-citation (Korhonen) (Correct)
....the changes of aspiration levels are easier to handle, because they can be implemented as changes in the rhs values in a linear programming formulation (see, 2.3a,b) 4 The reference point method is easy to implement. The minimization of the achievement scalarizing function is an LP problem. In Joro, Korhonen and Wallenius [1995], we have shown that the problem can be written in the following form: Reference Point Model Primal (REF P ) Reference Point Model Dual (REF D ) max Z =s e (1 T s 1 T s ) s.t. 2.3a) Yl s w y s = g y Xl s w x s = g x l L s , s 0 e 0 L = l l ....
.... CCR model (Charnes et al. 1978] 1) x 0 0 0 y 0 n 3 Output Oriented BCC model (Banker et al. 1984] 0 x 0 y 0 0 l l n and 1 T l = 1 4 Input Oriented BCC model (Banker et al. 1984] 1) x 0 0 0 y 0 l l n and 1 T l = 1 5 Combined CCR model (Joro et al. 1995]) x 0 x 0 y 0 y 0 n 6 Combined BCC model (Joro et al. 1995] x 0 x 0 y 0 y 0 l l n and 1 T l = 1 7 General Combined model x 0 y 0 2) We have now shown above that various CCR and BCC models (1 6) and further a general combined model (7) can be ....
[Article contains additional citation context not shown here]
Joro, T., Korhonen, P. and Wallenius, J. (1995): "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming", (Forthcoming in Management Science), (Working Papers W-144, Helsinki School of Economics).
Using DEA as a tool for MCDM: some remarks - Bouyssou (1999) (Correct)
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Joro T, Korhonen P and Wallenius J (1995). Structural comparison of data envelopment analysis and multiple objective linear programming. Working Paper W-144, Helsinki School of Economics, Helsinki, Finland (17 pages).
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