Allocating fixed costs or resources and setting targets via data envelopment analysis

In many applications of data envelopment analysis (DEA), there is often a fixed cost or input resource which should be imposed on all decision making units ( DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Resea...

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Veröffentlicht in:Applied mathematics and computation 2011-03, Vol.217 (13), p.6349-6358
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description In many applications of data envelopment analysis (DEA), there is often a fixed cost or input resource which should be imposed on all decision making units ( DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Research 32 (2005) 2171–2178] propose a practical DEA approach for such allocation problems. In this paper, we prove that when some special constraints are added, Cook and Zhu’s approach probably has no feasible solution. The research of this paper focuses on two main aspects: to obtain a new fixed costs or resources allocation approach by improving Cook and Zhu’s approach, and to set fixed targets according to the amount of fixed resources shared by individual DMUs. When such special constraints are attached, our model is proved to be able to achieve a feasible costs or resources allocation. Numerical results for an example from the literature are presented to illustrate our approach.
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subjects Allocations
Computation
Computer simulation
Costs
Data envelopment analysis
Decision making
Efficiency
Exact sciences and technology
Fixed cost allocation
Heating
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Operations research
Resource allocation
Sciences and techniques of general use
Target setting
title Allocating fixed costs or resources and setting targets via data envelopment analysis
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