Research Article
Strategic Customer Behaviors in Observable Multi-server Batch Service Queueing Systems with Shared Fee and Server Maintenance Cost
@INPROCEEDINGS{10.1007/978-3-031-31234-2_1, author={Ayane Nakamura and Tuan Phung-Duc}, title={Strategic Customer Behaviors in Observable Multi-server Batch Service Queueing Systems with Shared Fee and Server Maintenance Cost}, proceedings={Performance Evaluation Methodologies and Tools. 15th EAI International Conference, VALUETOOLS 2022, Virtual Event, November 2022, Proceedings}, proceedings_a={VALUETOOLS}, year={2023}, month={5}, keywords={Queueing Strategic customers Batch service Shared fee Server cost Social welfare Ride-sharing}, doi={10.1007/978-3-031-31234-2_1} }- Ayane Nakamura
Tuan Phung-Duc
Year: 2023
Strategic Customer Behaviors in Observable Multi-server Batch Service Queueing Systems with Shared Fee and Server Maintenance Cost
VALUETOOLS
Springer
DOI: 10.1007/978-3-031-31234-2_1
Abstract
We consider an observable multi-server batch service queueing model where a shared server admission fee and maintenance cost for the monopolist are considered. Specifically, customers observe the number of full batches and waiting customers for an uncompleted batch, and then afterward decide to join or balk depending on their utility function. We analyze strategic customer behavior and find the equilibrium strategy. We also show numerical results for social welfare and monopolist’s revenue in various settings depending on fee, batch size, and number of servers. Based on our results, we discuss the existence of optimal fee, batch size, and number of servers.
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