Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 70-80 |
| Number of pages | 11 |
| Journal | Operations research for health care |
| Volume | 7 |
| DOIs | |
| Publication status | Published - Dec 2015 |
Fingerprint
Keywords
- MSC-68M20
- MSC-60K25
- MSC-60J20
- MSC-60J22
- Waiting times
- Marginal waiting times
- Markov chain computation
- Queueing
- Queueing networks
- Blood collection sites
Cite this
}
Waiting time computation for blood collection sites. / van Brummelen, S.P.J.; de Kort, W.L.; van Dijk, N.M.
In: Operations research for health care, Vol. 7, 12.2015, p. 70-80.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Waiting time computation for blood collection sites
AU - van Brummelen, S.P.J.
AU - de Kort, W.L.
AU - van Dijk, N.M.
PY - 2015/12
Y1 - 2015/12
N2 - As blood donations are provided on a voluntary non-remunerated basis, blood donors should be treated as user-friendly as possible. Delays and waiting times within blood collection sites (donor centers) should thus be kept at acceptable levels. Waiting times are not incorporated directly other than by practical experience. A more rigorous approach is required. An analytic waiting time computation is therefore investigated to compute waiting times as a function of production. An analytic so-called product form solution for joint queue lengths is concluded. This product form leads to: • an exact expression for the marginal waiting time percentiles at each separate phase • a more formal justification for approximate computation of the total mean waiting time for the non- exponential case. A computational algorithm is provided to numerically approximate the total delay time distribution, an algorithm that has not been presented before. The results are tested for and applied to a real life test case of a Dutch representative blood collection site. These results illustrate the practical usefulness for Sanquin, but also the applicability of the models in general.
AB - As blood donations are provided on a voluntary non-remunerated basis, blood donors should be treated as user-friendly as possible. Delays and waiting times within blood collection sites (donor centers) should thus be kept at acceptable levels. Waiting times are not incorporated directly other than by practical experience. A more rigorous approach is required. An analytic waiting time computation is therefore investigated to compute waiting times as a function of production. An analytic so-called product form solution for joint queue lengths is concluded. This product form leads to: • an exact expression for the marginal waiting time percentiles at each separate phase • a more formal justification for approximate computation of the total mean waiting time for the non- exponential case. A computational algorithm is provided to numerically approximate the total delay time distribution, an algorithm that has not been presented before. The results are tested for and applied to a real life test case of a Dutch representative blood collection site. These results illustrate the practical usefulness for Sanquin, but also the applicability of the models in general.
KW - MSC-68M20
KW - MSC-60K25
KW - MSC-60J20
KW - MSC-60J22
KW - Waiting times
KW - Marginal waiting times
KW - Markov chain computation
KW - Queueing
KW - Queueing networks
KW - Blood collection sites
U2 - 10.1016/j.orhc.2015.09.008
DO - 10.1016/j.orhc.2015.09.008
M3 - Article
VL - 7
SP - 70
EP - 80
JO - Operations research for health care
JF - Operations research for health care
SN - 2211-6923
ER -