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Abstract
We construct a cooperative staffing game to investigate how to fairly allocate a reduced number of staff among multiple call centers that pool (centralize) their capacities. We show that this game is essential and submodular, and, thereby, convex with a non-empty core. We also propose a neat Shapley value-characterized staff-allocation rule, which exists in the core of the game.
Original language | English |
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Pages (from-to) | 490-493 |
Number of pages | 4 |
Journal | Operations Research Letters |
Volume | 41 |
Issue number | 5 |
Early online date | 20 Jun 2013 |
DOIs | |
Publication status | Published - Sept 2013 |
Funding
For this research, the second author (Mingming Leng) was supported by the General Research Fund of the Hong Kong Research Grants Council under Research Project No. LU340409, and the third author (Yulan Wang) was supported by the Hong Kong Polytechnic University under Project No. 1-ZV7K.
Keywords
- Call center pooling
- Square-root safety staffing rule
- Cooperative game
- Shapley value
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Dive into the research topics of 'A fair staff allocation rule for the capacity pooling of multiple call centers'. Together they form a unique fingerprint.Projects
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Analytic Solution for the Nucleolus of a Three-Player Cooperative Game (三人合作式博弈核仁的解析解)
LENG, M. (PI) & PARLAR, M. (CoI)
Research Grants Council (HKSAR)
1/01/10 → 31/12/12
Project: Grant Research