operations management : line balancing
TRANSCRIPT
LINE BALANCINGPresented By:Ashita NegiDeepti VermaNancy NegiRohan BharajUchit Arora
Line Balancing Line balancing is the procedure in which tasks along task the assembly line are
assigned to work station so each has approximately same amount of work. A workstation within an assembly line in order to meet the required production
rate and to achieve a minimum amount of idle time.
BALANCED LINE Promotes one piece flow Avoids excessive work load in some
stages (overburden) Minimizes wastes (over-processing,
inventory, waiting, rework, transportation, motion)
Reduces variation Increased Efficiency Minimizes Idle time
UNBALANCED LINE High work load in some stages
(Overburden) Maximizes wastes (over-processing,
inventory, waiting, rework, transportation, motion)
High variation in output Restrict one piece flow Maximizes Idle time Poor efficiency
Important Terminologies TASK PRECEDENCE: The sequence in which tasks are performed. CYCLE TIME: The time expressed in minutes between two simultaneous products
coming off the end of a production line. PRODUCTIVE TIME PER HOUR: The average number of minutes a workstation is
working in an hour. WORKSTATION: A physical area where a worker with tools/ one or more machines,
or an unattended machines like a robot performs a particular set of task in a production line.
WORK CENTER: A small group of identical workstations, where each workstation performs the same set of task.
NUMBER OF WORKSTATIONS WORKING: The amount of work done at a work centre expressed in number of workstations.
MINIMUM NUMBER OF WORKSTATIONS: The least number of workstation that provides the required production.
ACTUAL NUMBER OF WORKSTATIONS: This is the total number of workstations required on the entire production line. It is calculated as the next higher integer of the number of workstations working.
UTILIZATION: The percentage of time a production line is working.
Example of Assembly-Line Balancing
Problem: An Assembly consists of the following elements as given in table below.
The production rate required is one assembly every 15 minute. Determine the minimum no of workstations required so as to minimize the Balance- Delay. Find Balance Delay Station-wise.
STEP 1. List the sequential relationships among tasks and then draw a precedence diagram
Task
A B C D E F G H I J K L
Immediate Predecessor
Nil A B B B B C,D G E I,F H,J K
Task Time 12 6 6 2 2 12 7 5 1 4 6 7
,
.
7 min.
12 min.
12 min
F
6 min
C
6 min
B
2 min
D
P LQ P LQ
P LQ
P LQ
*
(
P LQ
-
/
$
+ 6 min
Incremental Utilisation (IU) Heuristic
A heuristic method is a procedure that can find a good feasible solution for a given class of problems, but which is not necessarily an optimal solution.
❖ It add tasks to a workstation in a precedence task order.❖ To each task added to the station, operators are added when necessary, and the
station utilization is calculated by equation.❖ Tasks are added at the used station until its utilization is 100%, or until a
reduction occurs, considering the new task and another operator when necessary. ❖ Then, a new station is considered, and the procedure is repeated on the next
workstation for the remaining tasks.
The incremental utilization heuristic is appropriate when one or more task times is equal to or greater than the cycle time. An important advantage of this heuristic is that it is capable of solving line-balancing problems regardless of the length of task times relative to the cycle time.
ExampleThe back room operations of a fast food restaurant have these tasks:
If 100 burgers per hour must be prepared by the crew and 50 minutes per hour must be prepared by the crew and 50 minutes per hour are productive:
a.Draw a diagram of the precedence relationships.b. Compute the cycle time per burger in minutes.c. Compute the minimum number of workstations required.d. How would you combine tasks into workstations to minimize idle time?
Use the incremental utilization heuristic. Evaluate your proposal.
Solutiona) Compute the cycle time per burger:
Cycle time = Productive time/ hourDemand/ hour
= 50 minutes/hour100 burgers/ hour
= 0.50 minute/burger
b) Compute the minimum number of workstations:
Minimum no. = Sum of task times x Demand/hourof workstations Productive time/hour
= 5.07 minutes/burger x 100 burgers/hour 50 minutes/hour
= 0.14 workstations
c) Precedence Diagram
d) Evaluation of the proposal:
Utilization= Minimum number of workstationsActual number of workstations
= 10.14 43 = 0.2358 or 23.58 %
Longest-Task-Time Heuristic
STEP 2. . Calculate the required workstation cycle time
CYCLE TIME = (PRODUCTION TIME PER DAY) /(OUTPUT PER DAY) = 15 minutes
STEP 3. Calculate the theoretical minimum number of workstations.
NUMBER OF WORK STATIONS = ( SUM OF TOTAL TASK TIMES) / (CYCLE TIME)
= 70 min’s / 15 min’s
= 4.67 ≈ 5 (rounded)
STEP 4. Choose a primary rule that will determine how tasks are to be assigned to workstations
For this example, our primary rule is to prioritize tasks based on the largest number of following tasks.
If there is a tie, our secondary rule is to prioritize tasks in the order of the longest task time.
In general, select rules that prioritize tasks according to the largest number of followers or based on length of time.
STEP 5. Beginning with the first workstation, assign each task, one at a time, until the sum of the task times is equal to the workstation cycle time or until no other tasks can be assigned due to sequence or time restrictions.
Task
Number of Following Tasks
A 11
B 10
C or D or E 4
I,F or G 3
H or J 2
K 1
L 0
Stations Task Task Time(in minutes)
Number ofFollowing Tasks
RemainingUnassignedTime(Balance-Delay)
FeasibleRemainingTasks
Task withMostFollowers
Task withLongestOperatingTime
Station 1 A 12 11 3 IDLE NoneStation 2 B
CD
662
1044
93
1 IDLE
C,D,ED,E
None
C,D,ED,E
CD ,E
Station 3 EFI
2121
433
131
0 IDLE
F,I, GI
None
F,I,G F
Station 4 GH
75
32
83 IDLE
H, JNone
H, J H
Station 5 JK
46
21
115 IDLE
KNone
Station 6 L 7 0 8 IDLE None
STEP 7. Evaluate the efficiency of the line balance.EFFICIENCY = (SUM OF ALL TASK TIMES)/(ACTUAL NO OF WORKSTATIONS)X(CYCLE TIME) = (70) / (6) X (15) = 0.778 OR 77. 78 %
Cars for the masses
Cost $850
Built new plant at Highland Park, Michigan
Ford consulted Frederick Taylor, Creator of Scientific Management
Installation of Gravity Slides
December 1, 1913, the first large scale assembly line was officially launched
Assembly Line- The Ford Way
Cars 84 Steps in the assembly line
Interchangeable parts
Less waste and higher quality product
Production time dropped from over 12 hours to just 93 mins
Produced 3,08,612 cars in 1914
Cost of Model T dropped to $260 in 1924
Work time was reduced from 9 to 8 hours and wages doubled to $5 a day
Assembly Line- The Ford Way
Apparel Industry
With proper implementation of line balancing it was seen that the efficiency was further increased.
Benefits of Assembly Line Balancing
•Technical Benefits•Economic Benefits
Limitation of Line Balancing
Production lines were designed so that conveyor belts paced the speed of the employees work. This arrangement wasn't appreciated by the employees.
Inevitable changes lead to production lines being out of balance.
Rebalancing causes disruptions to production
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