Line Balancing Problem

Line Balancing Problem 3.4 mins B E 2.7 mins 2.2 mins A C 4.1mins D 1.7mins F 3.3 mins G 2.6 mins

Questions? 4.1 minutes • 1. What is the bottleneck? • 2. What is maximum production per hour? 60/4.1=14.63 units • 3. What is efficiency and balance delay? • 4. How to minimize work stations? • 5. How should they be grouped? • 6. New efficiency?

Calculate efficiency • A. 73.2% • B. 56.7% • C. 69.7% • D. 79.6% • E. 81.2% 3.4 mins B E 2.7 mins 2.2 mins A C 4.1mins D 1.7mins F 3.3 mins G 2.6 mins

(2.2+3.4+4.1+2.7+1.7+3.3+2.6) 4.1x7 20 28.7 69.7% 1-69.7%=30.3% Balance Delay

Number of Work Stations (bottleneck) 20 4.1 = 4.88 work stations

4 Stations 20/24=83.3% Line Balancing Solution Max prod./hour 60/6 10 units/hour (5.6) 3.4 Station 3 B Station 1 E 2.7 2.2 A C 4.1 (6.0) Station 2 Station 4 (5.8) D 1.7 F 3.3 G 2.6 All under 6 minutes?

5 Stations Line Balancing Problem 3.4 mins 20/5.6x5 = 20/28 = 71.4% 5.6 B E 2.7 mins 2.2 mins A C 4.1mins Max Prod./hour 60/5.6 10.7 units/hour D 1.7mins F 3.3 mins G 2.6 mins 5.0

What is the minimum # of work stations? Round down. 40 secs 59 secs 34 secs 84 secs • 3 • 2 • 4 • 5 • 6 56 secs 45 secs

40+59+84+56+34+45 = 318 318/84 = 3.78 or 3 work stations What is the efficiency with 6 operators? 318/6 x 84= 318/504 = 63%

99 secs 3 Stations ? 40 secs 118 secs 59 secs 34 secs 84 secs 318/3x118 318/354 = 89.8% 56 secs 45 secs 101 secs

99 secs 4 Stations? 40 secs 84 secs 79 secs 59 secs 34 secs 84 secs 56 secs 318/4 x 99 = 318/396 = 80.3% 45 secs 56 secs

Line Balancing Problem