The milk plant in a city distributes its products by trucks, loaded at a single loading dock.
Question:
The milk plant in a city distributes its products by trucks, loaded at a single loading dock. It has its own fleet plus trucks of a private company. The private company has complained that sometimes its trucks have to wait in line and thus the company loses money paid for a truck and driver that is only waiting. The company has asked the milk plant management to either go in for a second loading dock or discount prices equivalent to the waiting time. The following data are available:
Average arrival rate (all trucks) = 3/hr
Average service rate = 4/hr
The transport company has provided 40% of the total number of trucks. Assuming that these rates are random according to passion distribution.
Determine:
a) The probability that a truck has to wait?
b) The waiting time of a truck that waits ?
c) The expected waiting time of` company trucks per day ?
Business Logistics Supply Chain Management
ISBN: 978-0130661845
5th edition
Authors: Ronald H. Ballou