A fair staff allocation rule for the capacity pooling of multiple call centers

Pengfei GUO; Mingming LENG; Yulan WANG

doi:10.1016/j.orl.2013.06.005

A fair staff allocation rule for the capacity pooling of multiple call centers

Pengfei GUO, Mingming LENG, Yulan WANG

Department of Computing and Decision Sciences

Research output: Journal Publications › Journal Article (refereed) › peer-review

9 Citations (Scopus)

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
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	https://doi.org/10.1016/j.orl.2013.06.005
Publication status	Published - Sept 2013

Bibliographical note

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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10.1016/j.orl.2013.06.005

Cite this

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title = "A fair staff allocation rule for the capacity pooling of multiple call centers",

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.",

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AU - LENG, Mingming

AU - WANG, Yulan

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N2 - 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.

AB - 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.

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KW - Square-root safety staffing rule

KW - Cooperative game

KW - Shapley value

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DO - 10.1016/j.orl.2013.06.005

M3 - Journal Article (refereed)

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VL - 41

SP - 490

EP - 493

JO - Operations Research Letters

JF - Operations Research Letters

IS - 5

ER -

A fair staff allocation rule for the capacity pooling of multiple call centers

Abstract

Bibliographical note

Keywords

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