What is the relationship between dependent arrival time and service time in various industries?
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Service times in various industries often depend on the delay experienced by customers in the queue . There are two forms of dependence mechanisms that can be observed. First, the service requirement of a customer may evolve while waiting in the queue, resulting in endogenously determined service times . Second, customers may arrive with a service and patience time that are stochastically dependent, leading to a different service-time distribution for customers in service compared to the entire customer population . It is important to identify and consider these dependence mechanisms for performance evaluation and decision-making purposes . However, identifying the source of dependence from observed data is challenging due to censoring of service times and patience times caused by customer abandonment . Wu, Bassamboo, and Perry provide a solution to address these statistical challenges and show that for any exogenous dependence, there exists a corresponding endogenous dependence, making the endogenous dependence a generalization of the exogenous dependence .
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| The provided paper does not discuss the relationship between dependent arrival time and service time in various industries. | |
1 Citations | The paper discusses two forms of dependence mechanisms in service systems with customer abandonment: endogenous dependence, where the service requirement of a customer evolves while waiting in queue, and exogenous dependence, where customers arrive with stochastically dependent service and patience times. The paper shows that for any exogenous dependence, there exists a corresponding endogenous dependence, and that the endogenous dependence can be considered as a generalization of the exogenous dependence. However, the paper does not specifically mention the relationship between dependent arrival time and service time in various industries. |
3 Citations | The relationship between dependent arrival time and service time in various industries is studied in the paper. |
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