Joint chance-constrained staffing optimization in multi-skill call centers
This paper concerns the staffing optimization problem in multi-skill call centers. The objective is to find a minimal cost staffing solution while meeting a target level for the quality of service (QoS) to customers. We consider a staffing problem in which joint chance constraints are imposed on the...
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| Ngôn ngữ: | English |
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Springer
2022
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10878-021-00830-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/5850 https://doi.org/10.1007/s10878-021-00830-1 |
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oai:localhost:PNK-58502022-08-17T05:54:52Z Joint chance-constrained staffing optimization in multi-skill call centers Tien, Thanh Dam Thuy, Anh Ta Tien, Mai Call center Staffing optimization This paper concerns the staffing optimization problem in multi-skill call centers. The objective is to find a minimal cost staffing solution while meeting a target level for the quality of service (QoS) to customers. We consider a staffing problem in which joint chance constraints are imposed on the QoS of the day. Our joint chance-constrained formulation is more rational capturing the correlation between different call types, as compared to separate chance-constrained versions considered in previous studies. We show that, in general, the probability functions in the joint-chance constraints display S-shaped curves, and the optimal solutions should belong to the concave regions of the curves. Thus, we propose an approach combining a heuristic phase to identify solutions lying in the concave part and a simulation-based cut generation phase to create outer-approximations of the probability functions. This allows us to find good staffing solutions satisfying the joint-chance constraints by simulation and linear programming. We test our formulation and algorithm using call center examples of up to 65 call types and 89 agent groups, which shows the benefits of our joint-chance constrained formulation and the advantage of our algorithm over standard ones 2022-07-13T01:59:41Z 2022-07-13T01:59:41Z 2022 Bài trích https://link.springer.com/article/10.1007/s10878-021-00830-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/5850 https://doi.org/10.1007/s10878-021-00830-1 en Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Call center Staffing optimization |
| spellingShingle |
Call center Staffing optimization Tien, Thanh Dam Thuy, Anh Ta Tien, Mai Joint chance-constrained staffing optimization in multi-skill call centers |
| description |
This paper concerns the staffing optimization problem in multi-skill call centers. The objective is to find a minimal cost staffing solution while meeting a target level for the quality of service (QoS) to customers. We consider a staffing problem in which joint chance constraints are imposed on the QoS of the day. Our joint chance-constrained formulation is more rational capturing the correlation between different call types, as compared to separate chance-constrained versions considered in previous studies. We show that, in general, the probability functions in the joint-chance constraints display S-shaped curves, and the optimal solutions should belong to the concave regions of the curves. Thus, we propose an approach combining a heuristic phase to identify solutions lying in the concave part and a simulation-based cut generation phase to create outer-approximations of the probability functions. This allows us to find good staffing solutions satisfying the joint-chance constraints by simulation and linear programming. We test our formulation and algorithm using call center examples of up to 65 call types and 89 agent groups, which shows the benefits of our joint-chance constrained formulation and the advantage of our algorithm over standard ones |
| format |
Bài trích |
| author |
Tien, Thanh Dam Thuy, Anh Ta Tien, Mai |
| author_facet |
Tien, Thanh Dam Thuy, Anh Ta Tien, Mai |
| author_sort |
Tien, Thanh Dam |
| title |
Joint chance-constrained staffing optimization in multi-skill call centers |
| title_short |
Joint chance-constrained staffing optimization in multi-skill call centers |
| title_full |
Joint chance-constrained staffing optimization in multi-skill call centers |
| title_fullStr |
Joint chance-constrained staffing optimization in multi-skill call centers |
| title_full_unstemmed |
Joint chance-constrained staffing optimization in multi-skill call centers |
| title_sort |
joint chance-constrained staffing optimization in multi-skill call centers |
| publisher |
Springer |
| publishDate |
2022 |
| url |
https://link.springer.com/article/10.1007/s10878-021-00830-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/5850 https://doi.org/10.1007/s10878-021-00830-1 |
| _version_ |
1751856283656388608 |
| score |
8.891145 |