TY - JOUR
ID - 4452
TI - Optimizing the number of outbound doors in the crossdock based on a new queuing system with the assumption of beta arrival time
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Motaghedi-Larijani, A.
AU - Aminnayeri, M.
AD - Amirkabir University of Technology, Tehran, Iran
Y1 - 2018
PY - 2018
VL - 25
IS - 4
SP - 2282
EP - 2296
KW - crossdock
KW - queuing system
KW - non-stationary
KW - order statistics
KW - conditional probability
DO - 10.24200/sci.2017.4452
N2 - Crossdocking is one of the supply chain strategies that can reduce transportation and inventory costs. Many studies are conducted the problem of crossdocking by considering various characteristics of crossdocks. In this paper, a queuing model is proposed in order to optimize the number of outbound doors based on minimizing the total costs including the costs of adding a new outbound door and the expected waiting time of customers. The total number of trucks arriving for service is constant. Trucks arrive to outbound doors of the crossdock within a specified time window. Arrival times of trucks follow a beta distribution and customers to be served based on first in first out policy (FIFO). Since, the total number of customers as well as the time of arrivals are finite, the steady state distribution for the long run of the system is inapplicable. Instead, based on conditional joint probabilities, order statistics along with the Bayes theorem we calculate the total expected waiting time.
UR - http://scientiairanica.sharif.edu/article_4452.html
L1 - http://scientiairanica.sharif.edu/article_4452_f7ad89eac5cacd13265d42b94eceded0.pdf
ER -