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Allocating the fixed cost: an approach based on data envelopment analysis and cooperative game
- Source :
- Annals of Operations Research. 274:373-394
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- Allocating the fixed cost among a set of users in a fair way is an important issue both in management and economic research. Recently, Du et al. (Eur J Oper Res 235(1): 206–214, 2014) proposed a novel approach for allocating the fixed cost based on the game cross-efficiency method by taking the game relations among users in efficiency evaluation. This paper proves that the novel approach of Du et al. (Eur J Oper Res 235(1): 206–214, 2014) is equivalent to the efficiency maximization approach of Li et al. (Omega 41(1): 55–60, 2013), and may exist multiple optimal cost allocation plans. Taking into account the game relations in the allocation process, this paper proposes a cooperative game approach, and uses the nucleolus as a solution to the proposed cooperative game. The proposed approach in this paper is illustrated with a dataset from the prior literature and a real dataset of a steel and iron enterprise in China.
- Subjects :
- Set (abstract data type)
Mathematical optimization
021103 operations research
Process (engineering)
Computer science
0211 other engineering and technologies
Data envelopment analysis
General Decision Sciences
02 engineering and technology
Maximization
Management Science and Operations Research
Fixed cost
Subjects
Details
- ISSN :
- 15729338 and 02545330
- Volume :
- 274
- Database :
- OpenAIRE
- Journal :
- Annals of Operations Research
- Accession number :
- edsair.doi...........e471ea0efd2516aa021a4fcf494cd17b