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Promoting symmetric weight selection in data envelopment analysis: a penalty function approach. (English) Zbl 1183.90227

Summary: Traditionally, data envelopment analysis models assume total flexibility in weight selection, though this assumption can lead to several variables being ignored in determining the efficiency score. Existing methods constrain weight selection to a predefined range, thus removing possible feasible solutions. As such, in this paper we propose the symmetric weight assignment technique \((SWAT)\) that does not affect feasibility and rewards decision making units (DMUs) that make a symmetric selection of weights. This allows for a method of weight restrictions that does not require preference constraints on the variables. Moreover, we show that the \(SWAT\) method may be used to differentiate among efficient DMUs.

MSC:

90B50 Management decision making, including multiple objectives

Software:

AMPL; CPLEX
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References:

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