2022-11-10

OAS:

• Uit Koeleman and Koole (2012):

  “Then the amount of work arriving is the Y -fold convolution of the vector representing the service time for emergency patients, s(Y ) e .” See List of convolutions of probability distributions

\[{\displaystyle \sum _{i=1}^{n}\mathrm {Poisson} (\lambda _{i})\sim \mathrm {Poisson} \left(\sum _{i=1}^{n}\lambda _{i}\right)\qquad \lambda _{i}>0}\]

References

Koeleman, Paulien M., and Ger M. Koole. 2012. “Optimal Outpatient Appointment Scheduling with Emergency Arrivals and General Service Times.” IIE Transactions on Healthcare Systems Engineering 2 (1): 14–30. https://doi.org/10.1080/19488300.2012.665154.