chapter9 (1) operations
-
Upload
reena-joshi -
Category
Documents
-
view
228 -
download
0
Transcript of chapter9 (1) operations
-
7/28/2019 chapter9 (1) operations
1/81
9-1
Operations
Management
Layout StrategyChapter 9
-
7/28/2019 chapter9 (1) operations
2/81
9-2
Outline
Strategic Importance of Layout Decisions.
Fixed-Position Layout.
Office Layout. Process-Oriented Layout (Flow graphs).
Retail Layout.
Warehouse Layout.
Product-Oriented Layout (Assembly line balancing).
-
7/28/2019 chapter9 (1) operations
3/81
9-3
What is Facility Layout
Location or arrangement of everythingwithin & around buildings.
Objectives are to maximize:
Utilization of space, equipment, & people.
Efficient flow of information, material, & people.
Employee morale & safety.
Trend is towards flexible and dynamic layouts.
-
7/28/2019 chapter9 (1) operations
4/81
9-4
Facility Layout
Helps achieve competitive advantage:
Better, faster, cheaper.
Determines productivity, cost, quality,flexibility, image, etc.
May involve a blend of strategies.
-
7/28/2019 chapter9 (1) operations
5/81
9-5
Six Layout Strategies
1. Fixed-position layout.
For large unique projects such as ships and buildings.
2. Office layout. Positions workers, equipment, and spaces/offices to
provide for movement of information and material.
3. Process-oriented layout. For low-volume, high-variety production.
-
7/28/2019 chapter9 (1) operations
6/81
9-6
Six Layout Strategies - continued
4. Retail/service layout.
Arranges facility and allocates shelf space in light ofcustomer behavior.
5. Warehouse layout.
Addresses trade-offs between space utilization andmaterial handling.
6. Product-oriented layout.
For repetitive or continuous production.
-
7/28/2019 chapter9 (1) operations
7/81
9-7
Layout Strategies
Project
(fixed-position)
Job Shop
(Process-oriented) Office
Examples
Problem
Ingal ShipBuilding
Pittsburgh Airport
ShouldiceHospital
Olive Garden
AllstateInsurance
Microsoft
Move materialto limited
storage areasat the site.
Manage variedmaterial flow for
each product.
Locate workersrequiring contact
close to eachother.
-
7/28/2019 chapter9 (1) operations
8/81
9-8
Layout Strategies
RetailWarehouse
(storage)
Repetitive/Continuous
(Product-oriented)
Examples
Problem
Krogers
Supermarket
Famous-Barr
Federal-MogulsWarehouse
The Gaps
distribution center
Sonys TVAssembly Line
DodgeCaravans
Exposecustomer tohigh-margin
items.
Balance cost forstorage and
materialhandling.
Equalize thetask time at
eachworkstation.
-
7/28/2019 chapter9 (1) operations
9/81
9-9
Requirements for a Good Layout
Understand capacity and space requirements.
Understand information flows.
Understand cost of people and product flows.
Select appropriate material handling equipment.
Consider environment and aesthetics.Consider safety and regulations.
-
7/28/2019 chapter9 (1) operations
10/81
9-10
Constraints on Layout Objectives
Product/service design.
Volume of business.
Process equipment & capacity.
Quality of work life.
Building and site.
-
7/28/2019 chapter9 (1) operations
11/81
9-11
1. Fixed-Position Layout
Project is stationary.
Special purpose: Construction, shipbuilding, etc.
Workers and equipment come to site.Complicating factors.
Limited space at site.
Changing material needs.
Unique projects.
-
7/28/2019 chapter9 (1) operations
12/81
9-12
2. Office Layout
Positions people, equipment, & offices. Usually for maximum information flow.
Also can consider material flow.
Arranged by process or product.
Example: Payroll dept. is by process.
Different cultures have differentexpectations for space.
Relationship (or proximity) chart used.
-
7/28/2019 chapter9 (1) operations
13/81
9-13
Relationship (Proximity) Chart
Uses 6 levels to express desired proximity.
A = Absolutely necessaryE = Especially important
I = Important
O= Ordinary importanceU = Unimportant
X = Not desirable
-
7/28/2019 chapter9 (1) operations
14/81
9-14
Relationship (Proximity) Chart
1 PresidentO
2 Costing U
E A3 Engineering I
U4 Presidents Secretary
5 Photocopiers
UE
A
X
-
7/28/2019 chapter9 (1) operations
15/81
9-15
Relationship (Proximity) Chart
1 PresidentO
2 Costing UE A
3 Engineering IU
4 Presidents Secretary
5 Photocopiers
UE
A
X
1
4
3
2
5A
A
E
E
I
X
Can determine layoutusing proximity diagram
-
7/28/2019 chapter9 (1) operations
16/81
9-16
Office Layout
1 President O2 Costing U
E A3 Engineering I
U4 Presidents Secretary
5 Photocopiers
UE
A
X
1
4
3
2
5A
A
E
E
I
X
Locate 5 offices in a rectangular
space.Offices 2-5 are to be same size.
Office 1 (Presidents) is twice as
large.
-
7/28/2019 chapter9 (1) operations
17/81
9-17
Office Layout
Costing
(3)
Photocopiers(5)
PresidentsSecretary
(4)
(2)
President(1)
Engineering
Corridor
-
7/28/2019 chapter9 (1) operations
18/81
9-18
3. Process-Oriented Layout
Place departments with large flows ofmaterial or people close together.
Similar processes and equipment arelocated in close proximity.
For example, all x-ray machines in same area.
Used with process-focused processes.
Low volume, high variety.
-
7/28/2019 chapter9 (1) operations
19/81
9-19
Emergency Room Layout
E.R. beds Pharmacy Billing/exit
E.R.Triage
room
Patient B - erratic
pacemaker
Patient A -broken leg
Hallway
-
7/28/2019 chapter9 (1) operations
20/81
9-20
Process-Oriented Layout Advantages
Flexibility.
Allows wide variety of products.
Low fixed costs for generalpurpose equipment.
Breakdown of one machine or
worker does not stopprocessing.
Process Oriented Layout
-
7/28/2019 chapter9 (1) operations
21/81
9-21
Process-Oriented LayoutDisadvantages
Scheduling is difficult.
High variable cost.
High work-in-processinventory and waiting.
High labor skills required.
Developing a Process Oriented
-
7/28/2019 chapter9 (1) operations
22/81
9-22
Developing a Process-OrientedLayout by Hand
Goal: Minimize cost of moving between departments.
1 Construct a from-to matrix.
2 Determine space requirements for each department.
3 Develop an initial layout and try to place departmentswith large flows close together.
4 Determine the cost of this initial layout.
5 Improve the initial layout (by hand or moresophisticated means).
6 Consider factors in addition to transportation cost.
-
7/28/2019 chapter9 (1) operations
23/81
9-23
Cost of Process-Oriented Layout
jiij
C
jiij
X
i,j
n
ijC
ijX
n
i
n
j
departmentanddepartmentbetweenloadamovetocost
departmenttodepartmentfrommovedloadsofnumber
sdepartmentindividual
sdepartmentorcentersworkofnumbertotalwhere
costM inimize
1 1
-
7/28/2019 chapter9 (1) operations
24/81
9-24
1 2 3 4 5 6
1
2
3
45
6
40 100 0 0 0
10 40 10 0
0 0 80
50 00
10
0
00
20
20
10
0
0
200
20
0
0 0
Flows of Parts (loads/week)
to
-
7/28/2019 chapter9 (1) operations
25/81
9-25
Interdepartmental Flow of Parts
1 2 3 4 5 6
1
2
3
4
5
6
50 100 0 0 20
30 50 10 0
20 0 100
50 00
Number of loads/week between departments
-
7/28/2019 chapter9 (1) operations
26/81
9-26
Initial Layout
AssemblyDepartment
(1)
PrintingDepartment
(2)
Machine shopDepartment
(3)
ReceivingDepartment
(4)
ShippingDepartment
(5)
TestingDepartment
(6)
Room 1 Room 2 Room 3
Room 4 Room 5 Room 6
Initial Layout Flow Graph Showing
-
7/28/2019 chapter9 (1) operations
27/81
9-27
Initial Layout Flow Graph ShowingLoads/Week
100
50 30
10
50
100
1 2
4 5 6
3
-
7/28/2019 chapter9 (1) operations
28/81
9-28
Cost of Initial Layout
100
50 30
10
50
100
1 2
4 5 6
3
1-2 50 = 50*1
1-3 200 = 100*2
1-6 40 = 20*2
2-3 30 = 30*12-4 50 = 50*1
2-5 10 = 10*1
3-4 40 = 20*2
3-6 100 = 100*1
4-5 50 = 50*1
Total = $570
Cost per load for adjacent locations = $1
Cost per load for non-adjacent locations = $2
L Fl i I iti l L t
-
7/28/2019 chapter9 (1) operations
29/81
9-29
Large Flows in Initial Layout100
50 30
10
50
100
1 2
4 56
3
Largest Flows: 100 for 1-3 & 3-6, so put 3 close to 1 and 6.
50 for 1-2, 2-4 & 4-5 ,
-
7/28/2019 chapter9 (1) operations
30/81
9-30
Improved Layout Flow Graph
100
10050
30
50
2
4
31
5 6
-
7/28/2019 chapter9 (1) operations
31/81
9-31
Improved Layout
PrintingDepartment
(2)
AssemblyDepartment
(1)
Machine shopDepartment
(3)
ReceivingDepartment
(4)
ShippingDepartment
(5)
TestingDepartment
(6)
Room 1 Room 2 Room 3
Room 4 Room 5 Room 6
-
7/28/2019 chapter9 (1) operations
32/81
9-32
Cost of Improved Layout
1-2 50 = 50*1
1-3 100 = 100*1
1-6 20 = 20*1
2-3 60 = 30*22-4 50 = 50*1
2-5 10 = 10*1
3-4 40 = 20*2
3-6 100 = 100*1
4-5 50 = 50*1
Total = $480
Cost per load for adjacent locations = $1
Cost per load for non-adjacent locations = $2
10050
30
50
2
4
31
5 6
100
-
7/28/2019 chapter9 (1) operations
33/81
9-33
Alternative Improved Layout
50
100100
20
50
1
2
63
4 5
10
Cost of Alternative Improved Layout
-
7/28/2019 chapter9 (1) operations
34/81
9-34
Cost of Alternative Improved Layout
1-2 50 = 50*1
1-3 100 = 100*1
1-6 40 = 20*2
2-3 30 = 30*12-4 50 = 50*1
2-5 20 = 10*2
3-4 20 = 20*1
3-6 100 = 100*1
4-5 50 = 50*1
Total = $460
Cost per load for adjacent locations = $1
Cost per load for non-adjacent locations = $2
50
100100
20
50
1
2
63
4 5
10
Is this best?
Alt ti I d L t
-
7/28/2019 chapter9 (1) operations
35/81
9-35
Alternative Improved Layout
PrintingDepartment
(2)
AssemblyDepartment
(1)
Machine shopDepartment
(3)
ReceivingDepartment
(4)
ShippingDepartment
(5)
TestingDepartment
(6)
Room 1 Room 2 Room 3
Room 4 Room 5 Room 6
L t E l 2
-
7/28/2019 chapter9 (1) operations
36/81
9-36
Layout Example 2Given the following tables of interdepartmental flows and distances
between locations A-E, locate the five departments to minimize the totaldistancexflow.
Interdepartmental flows
1 2 3 4 51 - 13 18 3 0
2 - 15 0 6
3 - 0 4
4 - 4
A B C D EA - 9 8 12 14
B 9 - 9 6 7
C 8 9 - 4 9
D 12 6 4 - 14
Distances between locations
E 14 7 9 14 -
L t E l 2
-
7/28/2019 chapter9 (1) operations
37/81
9-37
Layout Example 2Largest flow 1-3 (flow=18) should be in closest locations: C&D
Could have: Solution 1: C=1 and D=3 orSolution 2: C=3 and D=1
Interdepartmental flows
1 2 3 4 51 - 13 18 3 0
2 - 15 0 6
3 - 0 4
4 - 4
A B C D EA - 9 8 12 14
B 9 - 9 6 7
C 8 9 - 4 9
D 12 6 4 - 14
Distances between locations
E 14 7 9 14 -
L t E l 2
-
7/28/2019 chapter9 (1) operations
38/81
9-38
Layout Example 2Next largest flow is 2-3, so 2 should be placed in location closest to 3.
Solution 1: D=3 and closest open location to D is B, so B=2, C=1, D=3.Solution 2: C=3 and closest open location to C is A, so A=2, C=3, D=1.
Interdepartmental flows
1 2 3 4 51 - 13 18 3 0
2 - 15 0 6
3 - 0 4
4 - 4
A B C D EA - 9 8 12 14
B 9 - 9 6 7
C 8 9 - 4 9
D 12 6 4 - 14
Distances between locations
E 14 7 9 14 -
L t E l 2
-
7/28/2019 chapter9 (1) operations
39/81
9-39
Layout Example 2Next largest flow is 1-2, but 1 and 2 are already located.
So consider next largest flow 2-5.Solution 1: B=2 and closest open location to B is E, so A=4,B=2,C=1, D=3,E=5.Solution 2: A=2 and closest open location to A is B, so A=2,B=5,C=3, D=1,E=4.
Interdepartmental flows
1 2 3 4 5
1 - 13 18 3 0
2 - 15 0 6
3 - 0 4
4 - 4
A B C D E
A - 9 8 12 14
B 9 - 9 6 7
C 8 9 - 4 9
D 12 6 4 - 14
Distances between locations
E 14 7 9 14 -
Layout Example 2
-
7/28/2019 chapter9 (1) operations
40/81
9-40
Layout Example 2Solution 1: A=4,B=2,C=1, D=3,E=5.
Distance = 13x9 + 18x4 + 3x8 + 15x6 + 6x7 + 4x14 + 4x14 = 457
Solution 2: A=2,B=5,C=3, D=1,E=4.Distance = 13x12 + 18x4 + 3x14 + 15x8 + 6x9 + 4x9 + 4x7 = 508
Interdepartmental flows
1 2 3 4 5
1 - 13 18 3 0
2 - 15 0 6
3 - 0 4
4 - 4
A B C D E
A - 9 8 12 14
B 9 - 9 6 7
C 8 9 - 4 9
D 12 6 4 - 14
Distances between locations
E 14 7 9 14 -
Solution 1
is best!
Computer Programs for Layout
-
7/28/2019 chapter9 (1) operations
41/81
9-41
Computer Programs for Layout
Many different programs: CRAFT
SPACECRAFT
CRAFT 3-D CORELAP
ALDEP
All are heuristic - not necessarily optimal!!
Work Cells in Process Layouts
-
7/28/2019 chapter9 (1) operations
42/81
9-42
Work Cells in Process Layouts
Special case of product-oriented layout - in aprocess-oriented facility.
Differentmachines brought together to make a product.
Use when high volume warrants special arrangement.
For 1 product or a small group of products.
Temporary arrangement.
Example: Assembly line set up to produce 3000identical parts in a job shop.
Work Cell Floor Plan
-
7/28/2019 chapter9 (1) operations
43/81
9-43
Work Cell Floor Plan
Office
Tool Room Work Cell
Saws Drills
Work Cell Advantages
-
7/28/2019 chapter9 (1) operations
44/81
9-44
Work Cell Advantages
Lower:
Inventory.Floor space.
Direct labor costs.
Higher:
Equipment utilization.Employeeparticipation.
Quality.
Work Cells, Focused WorkC d h F d F
-
7/28/2019 chapter9 (1) operations
45/81
9-45
Centers and the Focused Factory
Work Cell A temporaryassembly-line-orientedarrangementof machines and personnel inwhat is ordinarily a process-oriented facility.
Focused WorkCenter
Apermanentassembly-line-orientedarrangementof machines and personnel inwhat is ordinarily a process-oriented facility.
Focused Factory Apermanent facilityto produce a product orcomponent in a product-oriented facility.
4 Retail/Service Layout
-
7/28/2019 chapter9 (1) operations
46/81
9-46
4. Retail/Service Layout
Maximize product exposure to customers. Maximize profitability per square foot of floor space or
per linear foot of shelf space.
Decision variables:
Arrangement of store.
Store flow pattern.
Allocation of (shelf) space to products.
Video
Retail Layouts - Rules of Thumb
-
7/28/2019 chapter9 (1) operations
47/81
9-47
Retail Layouts Rules of Thumb
Locate high-draw items around the periphery.
Use prominent locations (end aisle locations; first orlast aisle) for high-impulse and high margin items.
Remove crossover aisles to prevent customers from
moving between aisles.
Distribute power items (that dominate a shopping
trip) around store to increase the viewing of other
items. Locate far apart.
Locate on both sides of an aisle.
Grocery Store Layout
-
7/28/2019 chapter9 (1) operations
48/81
9-48
y y
Retail Store Shelf Space
-
7/28/2019 chapter9 (1) operations
49/81
9-49
Retail Store Shelf Space
Consider prominence ofshelf location and numberof facings.
Can use computerized toolsto manage shelf-space.
Track sales and product
location (scanner data).
5facings
PERT
PERT
PERT
PERT
PERT
Servicescape Considerations
-
7/28/2019 chapter9 (1) operations
50/81
9-50
Servicescape Considerations
Ambient conditions.
Background characteristics such as lighting, sound,smell, and temperature.
Spatial layout and functionality.
Customer circulation, aisle width, shelf spacing, etc.
Signs, Symbols, and Artifacts. Various other characteristics of design (carpeting,
greeters, etc.).
5 Warehouse Layout
-
7/28/2019 chapter9 (1) operations
51/81
9-51
5. Warehouse Layout
Balance space utilization & handling cost. Similar to process layout.
Items moved between loading docks
& various storage areas.
Optimum layout depends on:
Variety of items stored.
Number of items picked.
Space Utilization vs. Handling
-
7/28/2019 chapter9 (1) operations
52/81
9-52
Costs
High space utilization (for storage).
Small, narrow aisles.
Product stacked high and deep (not easily accessible).
Ease of material handling.
Wide, short aisles.
Product easily accessible.
Design facility to optimize space utilization andhandling costs tradeoff.
Assigned vs. Random StockL ti
-
7/28/2019 chapter9 (1) operations
53/81
9-53
Locations
Assigned locations for products: May be inefficient use of space.
Easier order picking and re-stocking.
Random locations: More efficient use of space.
Added costs to track location of inventory and open space.
More difficult order picking and re-stocking.
Stock products to optimize cost and efficienciestradeoffs.
Cross Docking (Wal-Mart)
-
7/28/2019 chapter9 (1) operations
54/81
9-54
Cross Docking (Wal Mart) Transferring goods:
From incomingtrucks at receivingdocks.
To outgoingtrucks at shipping docks.
Avoids placing goods intostorage.
Requires suppliers provide
effective addressing (bar codes)and packaging for rapidtransshipment.
In-
comingOutgoing
Order Picking
-
7/28/2019 chapter9 (1) operations
55/81
9-55
Collecting items on a customer order from various
locations in the warehouse.
Sequence items to minimize travel time in
warehouse to pick order.
Also, should locate items to be efficient to pick.
Combine several orders to reduce picking time.
Zoning: Assign separate pickers to differentzones in the warehouse.
Split order among several pickers.
6. Product-Oriented Layout
-
7/28/2019 chapter9 (1) operations
56/81
9-56
6. Product Oriented Layout
Used with product-focussed processes. Facility organized around product.
High volume, low variety.
Types:
Fabrication line - Builds components.
Assembly line - Assembles components intoproducts.
Product-Oriented Layout
-
7/28/2019 chapter9 (1) operations
57/81
9-57
y
Divide work into small tasks. To be done byworkers or machines.
Assign tasks to workstations.
Balance output of each workstation.
To smooth operations of the line.
To make workload equal.
To minimize idle time.
To achieve desired output.
Product-Oriented Requirements
-
7/28/2019 chapter9 (1) operations
58/81
9-58
q
Standardized product.
High production volume.
Stable production quantities.Uniform quality of raw materials &
components.
Product-Oriented Layout Advantages
-
7/28/2019 chapter9 (1) operations
59/81
9-59
Product Oriented Layout Advantages
Lower variable cost per unit.
Lower material handling costs.
Lower work-in-processinventories.
Rapid throughput.
Easier training & supervision.
Product-Oriented LayoutDisadvantages
-
7/28/2019 chapter9 (1) operations
60/81
9-60
Disadvantages
Higher capital investment forspecial equipment.
Any work stoppage stopswhole process.
Lack of flexibility in volume
and product.
Repetitive Layout
-
7/28/2019 chapter9 (1) operations
61/81
9-61
Note: 5 tasks or operations (T1-T5);
3 work stations (orange rectangles)
T1 T3
T2
T4
T5
Work Station 1
Office
Belt Conveyor
WorkStation 3
Work Station 2
Assembly Line Balancing Steps
-
7/28/2019 chapter9 (1) operations
62/81
9-62
y g p
1. Determine tasks (operations) & task times.2. Determine sequence of tasks.
3. Draw precedence diagram.
4. Calculate cycle time .
5. Calculate minimum number of work stations, N.
6. Assign tasks.7. Calculate efficiency.
Assembly Line Balancing Data
-
7/28/2019 chapter9 (1) operations
63/81
9-63
Usually we are given:
Production rate.
Units of product to be produced per unit time.
Production time available per day.
Tasks (operations) & task times.
Sequence of tasks.
Assembly Line BalancingGeneral Procedure
-
7/28/2019 chapter9 (1) operations
64/81
9-64
General Procedure
1. Determine cycle time - The time betweenproduction of successive units. (May bemeasured in seconds, minutes, etc.)
2. Calculate the theoretical minimum number ofworkstations, denoted N. (May not be achievable.)
3. Assign tasksto workstations to balance the line.Compute the efficiency.
Assembly Line Balancing Equations
-
7/28/2019 chapter9 (1) operations
65/81
9-65
y g q
Cycle time =Production time available
Production rate
Minimum
number ofwork stations
Task timesCycle time
Efficiency =
=
Task times
* (Cycle time)(Actual numberof work stations)
= N Rounded up
Assembly Line Balancing Example
-
7/28/2019 chapter9 (1) operations
66/81
9-66
Task Time PredecessorA 0.1 min. -B 0.7 min. AC 1.0 min. B
D 0.5 min. CE 0.2 min. D
2.5 min.
Immediate
A B C D E
0.1 0.20.7 1.0
0.5
Suppose we want to
produce 300 units/day
and 8 hours are
available each day.
Assembly Line Balancing Example
-
7/28/2019 chapter9 (1) operations
67/81
9-67
Task Time PredecessorA 0.1 min. -B 0.7 min. AC 1.0 min. BD 0.5 min. CE 0.2 min. D
2.5 min.
Immediate
Suppose we want toproduce 300 units/day
and 8 hours are
available each day.
nsworkstatioortesminu
tesminu
N
unittesminudayunits
daytesminutimecycle
25625.16.1
5.2
/6.1/300
/480
So assign tasks A-E to 2 workstations, where neither workstation
should exceed 1.6 minutes.
Assembly Line Balancing Example
-
7/28/2019 chapter9 (1) operations
68/81
9-68
A B C D E
0.1 0.20.7 1.
0
0.5
Suppose we want toproduce 300 units/day
and 8 hours are
available each day.
Can not use only 2 workstations! Must use 3.
Efficiency=2.5/(3*1.6) = 52.1%
Task Time PredecessorA 0.1 min. -B 0.7 min. AC 1.0 min. BD 0.5 min. CE 0.2 min. D
2.5 min.
Immediate
Assembly Line Balancing Example
-
7/28/2019 chapter9 (1) operations
69/81
9-69
A B C D E0.1 0.20.7 1.
00.5
Both of these can
produce 300/day in8 hours.
Efficiency=2.5/(3*1.6) = 52.1%
A B C D E
0.1 0.20.7 1.
0
0.5
Efficiency=2.5/(3*1.6) = 52.1%
Better balance!
Note: this line could produce 300 units in 5 hours (1 per minute)
Efficiency=2.5/(3*1.0) = 83.3%
Assembly Line Balancing Example
-
7/28/2019 chapter9 (1) operations
70/81
9-70
A B C D E
0.1 0.20.7 1.0
0.5
If 2 workstations were required, then it will take more than 8 hours
to produce 300 units.
Cycle time = 1.7 minutes
Efficiency=2.5/(2*1.7) = 73.5%
Time to produce 300 units
1.7 min/unit*300 units = 510 minutes = 8.5 hours
Assembly Line Balancing Heuristics
-
7/28/2019 chapter9 (1) operations
71/81
9-71
Longest (or shortest) task time.
Choose task with longest (or shortest) operation time.
Most following tasks.
Choose task with largest number of following tasks.
Ranked positional weight.
Choose task where the sum of the times for each
following task is longest.
Least number of following tasks.
Choose task with fewest subsequent tasks.
Ranked Positional Weight Heuristic
-
7/28/2019 chapter9 (1) operations
72/81
9-72
Positional weight = Sum of times for a task and all
tasks that must follow it.
1. Calculate positional weight for each task.
2. Assign task with largest positional weight to theearliest workstation where it fits.- Obey precedence relations.- Do not exceed cycle time.
3. Repeat step 2 until all tasks are assigned.
Line Balancing Example 2
-
7/28/2019 chapter9 (1) operations
73/81
9-73
Task Time PredecessorA 0.2 min. -B 0.6 min. A,CC 0.5 min. -
D 0.3 min. -E 1.0 min. B,DF 0.2 min. DG 0.9 min. E,F
3.7 min.
Immediate
Suppose we want toproduce 450 units/dayand 8 hours are
available each day.
Line Balancing Example 2
-
7/28/2019 chapter9 (1) operations
74/81
9-74
Task Time PredecessorA 0.2 min. -B 0.6 min. A,CC 0.5 min. -D 0.3 min. -E 1.0 min. B,D
F 0.2 min. DG 0.9 min. E,F3.7 min.
Immediate
Suppose we want toproduce 450 units/dayand 8 hours are
available each day.
nsworkstatioortesminu
tesminuN
unittesminu
dayunits
daytesminutimecycle
4...47.30667.1
7.3
/0667.1
/450
/480
Precedence Diagram - Example 2
-
7/28/2019 chapter9 (1) operations
75/81
9-75
A
BEC
D F
G
0.2
0.5
0.3
0.6
0.2
1.0
0.9
Example 2 - Positional Weight
-
7/28/2019 chapter9 (1) operations
76/81
9-76
Task Time Predecessor weightA 0.2 min. - 2.7B 0.6 min. A,C 2.5C 0.5 min. - 3.0
D 0.3 min. - 2.4E 1.0 min. B,D 1.9F 0.2 min. D 1.1G 0.9 min. E,F 0.9
3.7 min.
Immediate Positional
Example 2 - Assign Tasks
-
7/28/2019 chapter9 (1) operations
77/81
9-77
Task Time Predecessor weightA 0.2 min. - 2.7B 0.6 min. A,C 2.5C 0.5 min. - 3.0D 0.3 min. - 2.4
E 1.0 min. B,D 1.9F 0.2 min. D 1.1G 0.9 min. E,F 0.9
3.7 min.
Immediate Positional
Cycle time = 1.07 min.
N= 4 workstations
WS1 WS2 WS3 WS4C(0.5)
A(0.2)
Example 2 - Assign Tasks (cont.)
-
7/28/2019 chapter9 (1) operations
78/81
9-78
Task Time Predecessor weightA 0.2 min. - 2.7B 0.6 min. A,C 2.5C 0.5 min. - 3.0D 0.3 min. - 2.4
E 1.0 min. B,D 1.9F 0.2 min. D 1.1G 0.9 min. E,F 0.9
3.7 min.
Immediate Positional
Cycle time = 1.07 min.
N= 4 workstations
WS1 WS2 WS3 WS4C(0.5) B(0.6)
A(0.2)D(0.3)
Example 2 - Assign Tasks (cont.)
I di t P iti l
-
7/28/2019 chapter9 (1) operations
79/81
9-79
Task Time Predecessor weightA 0.2 min. - 2.7B 0.6 min. A,C 2.5C 0.5 min. - 3.0D 0.3 min. - 2.4
E 1.0 min. B,D 1.9F 0.2 min. D 1.1G 0.9 min. E,F 0.9
3.7 min.
Immediate Positional
Cycle time = 1.07 min.
N= 4 workstations
WS1 WS2 WS3 WS4C(0.5) B(0.6) E(1.0) G(0.9)
A(0.2) F(0.2)D(0.3)
Efficiency =
3.7/(4*1.07) = 86.4%
Precedence Diagram - Example 2
-
7/28/2019 chapter9 (1) operations
80/81
9-80
A
B
EC
D F
G
0.2
0.5
0.3
0.6
0.2
1.0
0.9
WS1 WS2
WS3
WS4
Example 2 - Final Comment
Immediate
-
7/28/2019 chapter9 (1) operations
81/81
9-81
Task Time PredecessorA 0.2 min. -B 0.6 min. A,CC 0.5 min. -D 0.3 min. -
E 1.0 min. B,DF 0.2 min. DG 0.9 min. E,F
3.7 min.
Immediate
Could use a cycle time of
1 minute & produce 450
units in 7.5 hours
WS1 WS2 WS3 WS4C(0.5) B(0.6) E(1.0) G(0.9)
A(0.2) F(0.2)D(0.3)
Efficiency =
3.7/(4*1.0) = 92.5%