TY - JOUR
T1 - Waiting‐time distributions for bulk arrival, bulk service queues with vehicle‐holding and cancellation strategies
AU - Powell, Warren Buckler
PY - 1987/4
Y1 - 1987/4
N2 - Procedures are developed for numerically calculating the waiting‐time distribution for bulk arrival, bulk service queues operated under a vehicle‐cancellation or a vehicle‐holding strategy, as well as for queues where vehicles depart regardless of the length of the queue. Experiments indicate that the mean and variance of the calculated distribution agree very closely with analytical expressions obtained from transforms. The results can be used to study the service reliability of different dispatching strategies. Alternatively, the results may be used to evaluate simpler approximations for the higher moments.
AB - Procedures are developed for numerically calculating the waiting‐time distribution for bulk arrival, bulk service queues operated under a vehicle‐cancellation or a vehicle‐holding strategy, as well as for queues where vehicles depart regardless of the length of the queue. Experiments indicate that the mean and variance of the calculated distribution agree very closely with analytical expressions obtained from transforms. The results can be used to study the service reliability of different dispatching strategies. Alternatively, the results may be used to evaluate simpler approximations for the higher moments.
UR - http://www.scopus.com/inward/record.url?scp=0023329434&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0023329434&partnerID=8YFLogxK
U2 - 10.1002/1520-6750(198704)34:2<207::AID-NAV3220340206>3.0.CO;2-C
DO - 10.1002/1520-6750(198704)34:2<207::AID-NAV3220340206>3.0.CO;2-C
M3 - Article
AN - SCOPUS:0023329434
SN - 0894-069X
VL - 34
SP - 207
EP - 227
JO - Naval Research Logistics (NRL)
JF - Naval Research Logistics (NRL)
IS - 2
ER -