Question

1. An assembly line with 30 activities is to be balanced. The total amount of time to complete all 30 activities is 60 minutes. The longest activity takes 2.4 minutes, and the shortest takes 0.3 minute. The line will operate for 480 minutes per day.
a. What are the maximum and minimum cycle times?

b. How much daily output will be achieved by each of those cycle times?

2. In problem 1, suppose the line is balanced using 14 workstations and a finished product can be produced every 4.5 minutes.

a. What is the production rate in units per day?

b. What is the assembly-line efficiency?

Answer 1

Answer:

a. What are the maximum and minimum cycle times?

The maximum cycle time is 60 minutes and the minimum cycle time is 2.4 minutes.

b. How much daily output will be achieved by each of those cycle times?

Daily output = CT = A/R

For max CT = 480/60 = 8 units per day

For min CT = 480/2.4 = 200 units per day.

2. In problem 1, suppose the line is balanced using 14 workstations and a finished product can be produced every 4.5 minutes.

a. What is the production rate in units per day?

CT = A/R or 4.5 = 480/R or R = 106.66 units/day

b. What is the assembly-line efficiency?

Efficiency = 60/[4.5(14)] =0.95 or 95.2% percent efficiency.