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Process Selection and Facility Layout Chapter 6

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Page 1: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Process Selection and Facility Layout

Chapter 6

Page 2: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Learning Objective

• Compare the four basic processing types• Describe product layouts and their main

advantages and disadvantages• Describe process layouts and their main

advantages and disadvantages• Develop simple product layouts• Develop simple process layouts

Page 3: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Process Selection

• Process selection– Deciding on the way production of goods or

services will be organized

– Occurs when:• Planning of new products or services• Technological changes in product or equipment• Competitive pressure

Page 4: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Process Selection and System Design

Forecasting (demand)

Product andService Design

TechnologicalChange

CapacityPlanning

ProcessSelection

Facilities andEquipment

Layout

WorkDesign

Page 5: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Process Selection

Process choice is demand driven:1. Variety

– How much?

2. Volume– Expected output?

3. Standardization4. Equipment flexibility

– To what degree?

Process Types• Job shop

– Small scale/high variety– e.g., doctor, tailor

• Batch– Moderate volume/moderate variety– e.g., bakery

• Repetitive/assembly line– High volumes of standardized goods or

services– e.g., automobiles

• Continuous– Very high volumes of non-discrete

goods– e.g., petroleum products

Page 6: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Types of Processing

Job Shop BatchRepetitive/Assembly Continuous

Description Customizedgoods orservices

Semi-standardizedgoods or services

Standardizedgoods orservices

Highly standardized

goods or services

Advantages Able to handle a wide variety of work

Flexibility; easy to add or change products or services

Low unit cost, high volume, efficient

Very efficient, very high volume

Disadvantages Slow, high costper unit,complexplanning andscheduling

Moderate costper unit,moderateschedulingcomplexity

Low flexibility,high cost of downtime

Very rigid, lack of variety, costly to change, very high cost of downtime

Page 7: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Product-Process Matrix

6-7

Volume

Flexibility/Variety

• The diagonal represents the “ideal” match• Hybrid process are possible (e.g., job-shop & batch)

• Process choice may change as products goes through its life-cycles

Page 8: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Process Choice EffectsActivity/Function Projects Job Shop Batch Repetitive ContinuousCost estimation Simple to

complexDifficult Somewhat routine Routine Routine

Cost per unit Very high High Moderate Low Low

Equipment used Varied General purpose General purpose Special purpose Special purpose

Fixed costs Varied Low Moderate High Very high

Variable costs High High Moderate Low Very low

Labor skills Low to high High Moderate Low Low to high

Marketing Promotecapabilities

Promotecapabilities

Promotecapabilities; semi-standardized goods and services

Promotestandardized goods/services

Promotestandardized goods/services

Scheduling Complex, subjectto change

Complex Moderately complex

Routine Routine

6-8

• Project– used for work that is nonroutine with a unique set of objective to be accomplished in a

limited time frame.– E.g., plays, movies, launching a new products, publishing a book, building a dam, building a bridge

Page 9: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Product and Service Profiling

• Product or service profiling– Linking key product or service requirements to

process capabilities

– Key dimensions relate to• Range of products or services that can be processed• Expected order sizes• Expected frequency of schedule changes

Page 10: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Technology

• Automation– Fixed automation– Programmable automation

• Computer-aided manufacturing• Numerically Controlled machines

– Flexible automation• Flexible manufacturing systems (FMS): A group of machines designed to

handle intermittent processing requirements and produce a variety of similar products

• Computer-integrated manufacturing (CIM)– A system for linking a broad range of manufacturing activities

through an integrating computer system

Page 11: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

New Process TrendHBR 12/6/12 Three Examples of New Process Strategy

There are three fundamental ways that companies can improve their processes in the coming decade:

1. expand the scope of work managed by a company to include customers, suppliers, and partners; – Shift to global, virtual, cross-organizational teams of specialized entities that are knitted

together to serve customers– To keep such a multiparty system from degenerating into chaos, virtual process teams

must have aligned goals and support systems.

2. target the increasing amount of knowledge work; and – Big data analytics– Crowdsourcing, e.g., mechanical turk, innocentive.com, TopCoder.com &

Heritage Health Prize» HBR : Using the Crowd as an Innovation Partner

3. reduce cycle times to durations previously considered impossible– Agile processes– Managers must speed the flow of information so that decisions can be made faster at all

levels, from top to bottom.

Page 12: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Facilities Layout

• Layout– The configuration of departments, work centers, and

equipment, with particular emphasis on movement of work (customers or materials) through the system

– Facilities layout decisions arise when:• Designing new facilities• Re-designing existing facilities

– The basic objective of layout design is to facilitate a smooth flow of work, material, and information through the system.

Page 13: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Basic Layout Types• Product layout

– Layout that uses standardized processing operations to achieve smooth, rapid, high-volume flow.

– The work is divided into a series of standardized tasks, permitting specialization of equipment and division of labor.

• Process layout– Layout that can handle varied processing requirements– The variety of jobs that are processed requires frequent adjustments to

equipment

• Fixed position layout– Layout in which the product or project remains stationary, and workers,

materials, and equipment are moved as needed

• Combination layouts

Page 14: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Product Layouts

• Product layout – Layout that uses standardized processing operations to achieve

smooth, rapid, high-volume flow– E.g., production line or assembly line– How?

Used for Repetitive ProcessingRepetitive or Continuous

Raw materialsor customer

Finished item

Station 2

Station 3

Station 4

Material and/or labor

Material and/or labor

Material and/or labor

Material and/or labor

Station 1

Page 15: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Product Layouts

• Although product layouts often follow a straight line, a straight line is not always the best, and layouts may take an L, O, S, or U shape. Why?

– L:– O:– S:– U: more compact, increased communication facilitating team work,

minimize the material handling

Image source: mdcegypt.com

Page 16: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Product Layouts

Advantages• High rate of output• Low unit cost• Labor specialization• Low material handling cost per

unit• High utilization of labor and

equipment• Established routing and

scheduling• Routine accounting, purchasing,

and inventory control

DisadvantagesCreates dull, repetitive jobsPoorly skilled workers may not

maintain equipment or quality of output

Fairly inflexible to changes in volume or product or process design

Highly susceptible to shutdownsPreventive maintenance, capacity for

quick repair and spare-parts inventories are necessary expenses

Individual incentive plans are impractical

Page 17: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Non-repetitive Processing: Process Layouts

• Process layouts– Layouts that can handle varied processing requirements– E.g., machine shop: milling, grinding, drilling, etc.

Used for Intermittent processingJob Shop or Batch

Dept. A

Dept. B Dept. D

Dept. C

Dept. F

Dept. E

Page 18: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Process Layouts

Advantages• Can handle a variety of

processing requirements• Not particularly vulnerable

to equipment failures• General-purpose equipment

is often less costly and easier and less costly to maintain

• It is possible to use individual incentive systems

Disadvantages• In-process inventories can be high• Routing and scheduling pose

continual challenges• Equipment utilization rates are low• Material handling is slow and less

efficient• Complicates supervision• Special attention necessary for each

product or customer• Accounting, inventory control, and

purchasing are more complex

Page 19: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Fixed Position Layouts

• Fixed Position Layout– Layout in which the product or project remains

stationary, and workers, materials, and equipment are moved as needed

– E.g., farming, firefighting, road building, home building, remodeling and repair, and drilling for oil

Page 20: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Combination Layouts

• Some operational environments use a combination of the three basic layout types:– Hospitals– Supermarket– Shipyards

• Some organizations are moving away from process layouts in an effort to capture the benefits of product layouts

Page 21: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Line BalancingLine balancing

The process of assigning tasks to workstations in such a way that the workstations have approximately equal time requirements

Goal:Obtain task grouping that represent approximately equal time requirements

since this minimizes idle time along the line and results in a high utilization of equipment and labor

Why is line balancing important?1. It allows us to use labor and equipment more efficiently.2. To avoid fairness issues that arise when one workstation must work harder than another.

– Input• Tasks sequencing (precedence diagram)• Tasks time• Operating time

Page 22: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Precedence Diagram• Precedence diagram

– A diagram that shows elemental tasks and their precedence requirements

Task Duration (min)

Immediate predecessor

a Select material 0.1 -

b Make petals 1.0 a

c Select rhinestones

0.7 -

d Glue rhinestones

0.5 b, c

e Package 0.2 d

Page 23: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Cycle Time

• Cycle time– The maximum time allowed at each workstation to

complete its set of tasks on a unit (depending on the number of workstations)

• Minimum Cycle Time = longest task time = 1.0 min• Maximum Cycle time = Σt = sum of task time = 2.5 min

Page 24: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Output rate of a line

• Cycle time also establishes the output rate of a line

• The cycle time is generally determined by the desired output.

Cycle time = Operating time per day

Desired output rate

Output rate = Operating time per day

Cycle time

Page 25: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

How Many Workstations are Needed?

• The required number of workstations is a function of:– Desired output rate– The ability to combine tasks into a workstation

• (theoretical) Minimum number of stations

Nmin= ∑ t

Cycle time

where

Nmin = theoretical minimum number of stations

∑ t = sum of task times

Page 26: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

How Many Workstations are Needed?

• The required number of workstations is a function of:– Desired output rate– The ability to combine tasks into a workstation

• (theoretical) Minimum number of stations

Nmin= ∑ t

Cycle time

where

Nmin = theoretical minimum number of stations

∑ t = sum of task times

Q: Why this is a theoretical value?A: There are often scraps or idle times.

Example: 4 tasks, each require 6 hours to finishA station can handle 8 hours amount of tasks a day.You will need 4 stations to complete all tasks, instead of 3.Nmin = (6+6+6+6) / 8 = 3

Page 27: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Designing Product Layouts

Some Heuristic (Intuitive, may not result in optimal solution) Rules:Assign tasks in order of most following tasks

Count the number of tasks that follow

Assign tasks in order of greatest positional weight. Positional weight is the sum of each task’s time and the times of all

following tasks.

Page 28: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Example: Assembly Line Balancing

• Arrange tasks (shown in the figure) into three workstations– Assume the cycle time of each workstation is 1.2 min.– Assign tasks in order of the most number of followers– Break tie using greatest positional weight

Page 29: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

• Assign tasks in order of the most number of followers

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.2 a, c

2

3

Start with CT (1.2 min. in this example)

Page 30: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

• Assign tasks in order of the most number of followers

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.2 a, c a 1.1

2

3

Page 31: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.1

a, cc, b

a 1.1

2

3

Page 32: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.1

a, cc, b

ab

1.10.1

2

3

Break tie using greatest positional weight

Page 33: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab

1.10.1

2

3

Page 34: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab-

1.10.1

0.1

2

3

Can’t assign c to this workstation because the workstation doesn’t have enough time (0.1) to complete c (0.7).

Page 35: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Start with CT (1.2 min. in this example)

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab-

1.10.1

0.1

2 1.2 c c 0.5

3

Page 36: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab-

1.10.1

0.1

2 1.20.5

cd

cd

0.50 0

3

Page 37: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Start with CT (1.2 min. in this example)

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab-

1.10.1

0.1

2 1.20.5

cd

cd

0.50 0.0

3 1.2 e e 11.0

Page 38: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab-

1.10.1

0.1

2 1.20.5

cd

cd

0.50 0.0

3 1.2 e e 11.0

Idle time per cycle=0.1+0.0+1.0=1.1

Page 39: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Layout

a & b(0.1+1.0)

c & d(0.7+0.5)

e(0.2)

Task Duration (min)

Immediate predecessor

a Select material 0.1 -

b Make petals 1.0 a

c Select rhinestones

0.7 -

d Glue rhinestones

0.5 b, c

e Package 0.2 d

Page 40: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

• Balance delay (percentage of idle time)– Percentage of idle time of a line

• Efficiency– Percentage of busy time of a line

Balance Delay = Idle time per cycle

× 100%Nactual × Cycle time

where

Nactual = actual number of stations

Efficiency = 100% − Balance Delay

Measuring Effectiveness

Page 41: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Example:Measuring Effectiveness

WorkstationTimeRemaining Eligible

AssignTask

RevisedTime Remaining

StationIdle Time

1 1.21.10.1

a, cc, bc

ab-

1.10.1

0.1

2 1.20.5

cd

cd

0.50 0.0

3 1.2 e e 1.01.0

Efficiency = 100% – 30.55% = 69.45%

Percentage of idle time = [(0.1 + 0 + 1.0) ÷ (3 × 1.2)] × 100% = 30.55%

Page 42: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

(Textbook page 267) Using the information contained in the table shown, do each of the following:

1. Draw a precedence diagram.2. Assuming an eight-hour workday,

compute the cycle time needed to obtain an output of 400 units per day.

3. Determine the minimum number of workstations required.

4. Assign tasks to workstations using this rule: Assign tasks according to greatest number of following tasks. In case of a tie, use the tiebreaker of assigning the task with the longest processing time first.

5. Compute the resulting percent idle time and efficiency of the system

Exercise

Page 43: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

1. Draw a precedence diagram

Solution

Page 44: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

2. Assuming an eight-hour workday, compute the cycle time needed to obtain an output of 400 units per day

Cycle time =

Operating time per day

=

480 minutes per day

= 1.2 minutes per cycleDesired output

rate400 units per

day

Example:Measuring Effectiveness

Page 45: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

3. Determine the minimum number of workstations required

Nmin= ∑ t

=

Cycle time

where

Nmin = theoretical minimum number of stations

∑ t = sum of task times

= 3.17 stations ( round to 4)

3.8 minutes per unit

1.2 minutes per cycle time per station

Example:Measuring Effectiveness

Page 46: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

4. Assign tasks to workstations using this rule: Assign tasks according to greatest number of following tasks. In case of a tie, use the tiebreaker of assigning the task with the longest processing time first.

Example:Measuring Effectiveness

Page 47: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

5. Compute the resulting percent idle time and efficiency of the system

Percent idle time = Idle time per cycle

=1.0 min.

× 100%Nactual × Cycle time 4 × 1.2 min.

= 20.83%

Example:Measuring Effectiveness

Page 48: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Designing Process Layouts

• The main issue in designing process layouts concerns the relative placement of the departments

• Measuring effectiveness– key objectives in designing process layouts are to

minimize:• transportation cost• distance• time

Page 49: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

• In designing process layouts, the following information is required:1. A list of work stations (departments) to be arranged and

their dimensions2. A projection of future work flows between the pairs of

work centers3. The distance between locations - and the cost per unit of

distance to move loads between them4. The amount of money to be invested in the layout5. A list of any special considerations6. The location of key utilities, access and exit points, etc.

Information Requirements

Page 50: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Designing Process LayoutsMinimize Transportation Costs

• Goal:– Assign departments 1, 2, 3 to locations A, B, C in a way that

minimizes transportation costs.

• Heuristic:– Assign departments with the greatest interdepartmental work

flow first to locations that are closet to each other.

A B C

Page 51: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Example: Minimize Transportation Costs

Location

From\To A B C

A - 20 40

B - 30

C -

Department

From\To 1 2 3

1 - 30 170

2 - 100

3 -

Pair Work flow

1-3 170

2-3 100

1-2 30

TripA-B 20

B-C 30

A-C 40

Distance

Work flow

A BC

20

40

30

Highest work flow

Closest

Place dept. 1&3

in A&B

Page 52: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Example: Minimize Transportation Costs

• Place departments 1&3 in A&B (2 options)

• 2&3 have higher work flow than 1&2 (100>30)• 2&3 should be located closer than 1&2• C closer to B than to A (30<40)

• Solution:

11 33

A B C33 11

A B CA B

C20

40

30

1 3 2

30

170 100

A B C

Trip

A-B 20

B-C 30

A-C 40

Pair Work flow

1-3 170

2-3 100

1-2 30

Page 53: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings(Relationship Diagramming)

• Allows the considerations of multiple qualitative criteria.

• Input from management or subjective analysis.

• Indicates the relative importance of each combination of department pairs.

Muther’s grid

Page 54: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings

Production

Offices

Stockroom

Shipping and receiving

Locker room

Toolroom

A A

A O

O

OO

O

U

U U

U

EX

I

A Absolutely necessaryE Very importantI ImportantO Ordinary importanceU UnimportantX Undesirable

A Absolutely necessaryE Very importantI ImportantO Ordinary importanceU UnimportantX Undesirable

Page 55: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings : Example

Dept. 1

Dept 2.

Dept 3.

Dept 4.

Dept. 5

Dept 6.

X O

A A

U

AA

X

E

A O

A

UI

X

Assign department using the heuristic:Assign critical departments first (they are most important)

Page 56: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings : Example

Dept. 1

Dept 2.

Dept 3.

Dept 4.

Dept. 5

Dept 6.

X O

A A

U

AA

X

E

A O

AU

I X

1. List critical departments (either A or X):

A

1-2

1-3

2-6

3-5

4-6

5-6

X

1-4

3-6

3-4

Page 57: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings : Example

Dept. 1

Dept 2.

Dept 3.

Dept 4.

Dept. 5

Dept 6.

X O

A A

U

AA

X

E

A O

AU

I X

2. Form a cluster of A links (beginning with the department that appears most frequently)

A

1-2

1-3

2-6

3-5

4-6

5-662

4

5

3. Take the remaining A links in order and add them to this cluster where possible (rearranging as necessary)Form separate clusters for departments that do not link with the main cluster.

62

4

51

3

Page 58: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings : Example

Dept. 1

Dept 2.

Dept 3.

Dept 4.

Dept. 5

Dept 6.

X O

A A

U

AA

X

E

A O

AU

I X

4. Graphically portray the X links

43

1

6

5. Adjust A cluster as necessary.

X

1-4

3-6

3-4

62

4

51

3

(in this case, the A cluster also satisfies the X cluster).

Page 59: Process Selection and Facility Layout Chapter 6. Learning Objective Compare the four basic processing types Describe product layouts and their main advantages

Closeness Ratings : Example

Dept. 1

Dept 2.

Dept 3.

Dept 4.

Dept. 5

Dept 6.

X O

A A

U

AA

X

E

A O

AU

I X

62

4

51

3

6. Fit cluster into arrangement (e.g., 2x3)may require some trial and error.Departments are considered close not only when they touch side to side but also when they touch corner to corner.

7. Check for possible improvements

1 2 6

3 5 4

43

1

6