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2007 Pearson Education Constraint Management Chapter 7

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Page 1: 07 Constraint Management- Krajewski

© 2007 Pearson Education

Constraint Management

Chapter 7

Page 2: 07 Constraint Management- Krajewski

© 2007 Pearson Education

How Constraint Management fits the Operations Management

Philosophy

Operations As a Competitive Weapon

Operations StrategyProject Management Process Strategy

Process AnalysisProcess Performance and Quality

Constraint ManagementProcess LayoutLean Systems

Supply Chain StrategyLocation

Inventory ManagementForecasting

Sales and Operations PlanningResource Planning

Scheduling

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© 2007 Pearson Education

Eastern Financial Florida Credit Union

What was the problem?

How did they solve it?

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© 2007 Pearson Education

Output and Capacity

What is a Constraint?

Any factor that limits system performance and restricts its output.

Capacity is the maximum rate of output of a process or system.

A BottleneckAn output constraint that limits a company’s ability

to meet market demand.Also called Capacity Constraint Resource or CCR

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© 2007 Pearson Education

Theory of Constraints (TOC)

Short-Term Capacity Planning

Theory of Constraints Identification and

management of bottlenecks Product Mix Decisions

using bottlenecks

Long-term Capacity Planning

Economies and Diseconomies of Scale

Capacity Timing and Sizing Strategies

Systematic Approach to Capacity Decisions

Constraint Management

A systematic approach that focuses on actively managing constraints that are impeding progress.

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© 2007 Pearson Education

Measures of Capacity

Output Measures

Input Measures

Utilization

Performance Measures in TOC Inventory (I)

Throughput (T)

Operating Expense (OE)

Utilization (U)

UtilizationAverage output rate

Maximum capacity100%

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© 2007 Pearson Education

How Operational Measures Relate to Financial Measures

Relationship to Financial Measures

TOC View

Utilization (U)

Operating Expense (OE)

Throughput (T)

Inventory (I)

Operational Measures

A decrease in OE leads to an increase in net profit, ROI, and cash flows

An increase in U at the bottleneck leads to an increase in net profit, ROI, and cash flows

An increase in T leads to an increase in net profit, ROI, and cash flows

A decrease in I leads to an increase in net profit, ROI, and cash flow

The degree to which equipment, space, or labor is currently being used, and is measured as the ratio of average output rate to maximum capacity, expressed as a %

All the money the system spends to turn inventory into throughput

Rate at which system generates money through sales

All the money invested in the system in purchasing things that it intends to sell

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© 2007 Pearson Education

7 Key Principles of TOC

1. The focus is on balancing flow, not on balancing capacity.

2. Maximizing output and efficiency of every resource will not maximize the throughput of the entire system.

3. An hour lost at a bottleneck or constrained resource is an hour lost for the whole system. An hour saved at a non-constrained resource does not necessarily make the whole system more productive.

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© 2007 Pearson Education

7 Key Principles of TOC

4. Inventory is needed only in front of the bottlenecks to prevent them from sitting idle, and in front of assembly and shipping points to protect customer schedules. Building inventories elsewhere should be avoided.

5. Work should be released into the system only as frequently as the bottlenecks need it. Bottleneck flows should be equal to the market demand. Pacing everything to the slowest resource minimizes inventory and operating expenses.

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© 2007 Pearson Education

7 Key Principles of TOC

6. Activation of non-bottleneck resources cannot increase throughput, nor promote better performance on financial measures.

7. Every capital investment must be viewed from the perspective of its global impact on overall throughput (T), inventory (I), and operating expense (OE).

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© 2007 Pearson Education

Application of TOC

1. Identify The System Bottleneck(s).

2. Exploit The Bottleneck(s).

3. Subordinate All Other Decisions to

Step 2

4. Elevate The Bottleneck(s).

5. Do Not Let Inertia Set In.

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© 2007 Pearson Education

Bal Seal Engineering Managerial Practice 7.1

Bal Seal had problems with excessive inventory, long lead times and long work hours.

They were operating above capacity but on-time shipment rate was 80-85%

Bal Seal implemented TOC with dramatic and almost immediate results. Excessive inventory dried up Extra capacity was experienced everywhere but at the

constraint Total production increased over 50% Customer response time decreased from 6 weeks to 8 days On-time shipments went up to 97%

Theory of Constraints in Practice

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© 2007 Pearson Education

Identification and Management of Bottlenecks

A Bottleneck is the process or step which has the lowest capacity and longest throughput.

Throughput Time is the total time from the start to the finish of a process.

Bottlenecks can be internal or external to a firm.

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© 2007 Pearson Education

Setup Time

If multiple services or products are involved, extra time usually is needed to change over from one service or product to the next.This increases the workload and could be a

bottleneck.

Setup Time is the time required to change a process or an operation from making one service or product to making another.

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© 2007 Pearson Education

Where is the Bottleneck?Example 7.1

It takes 10 + 20 + max (15, 12) + 5 + 10 = 60 minutes to complete a loan application. Unless more resources are added at step B, the bank will be able to complete only 3 loan accounts per hour, or 15 new load accounts in a five-hour day.

1. Check loan documents and

put them in order

(10 minutes)

2. Categorize

loans(20

minutes)

3. Check for credit rating(15 minutes)

6. Complete paperwork for

new loan(10 minutes)

4. Enter loan application data into the system

(12 minutes)

Customer

5. Is loan

approved?(5 min)

Yes

No

Bottleneck

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© 2007 Pearson Education

Barbara’s BoutiqueApplication 7.1

T1(12)

T6(22

)

T5(15

)

T2(13

)

T7(10)

T4(18)

T3-a(14)

T3-c(11)

T3-b(10)

Type

Type A

Type B

Two types of customers enter Barbara’s Boutique shop for customized dress alterations. After T1, Type A customers proceed to T2 and then to any of the three workstations at T3, followed by T4, and then T7. After T1, Type B customers proceed to T5 and then T6 and T7. The numbers in the circles are the minutes it takes that activity to process a customer.

• What is the capacity per hour for Type A customers?

• If 30% of customers are Type A customers and 70% are Type B, what is the average capacity?

• When would Type A customers experience waiting lines, assuming there are no Type B customers in the shop?

• Where would Type B customers have to wait, assuming no Type A customers?

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© 2007 Pearson Education

T1(12)

T6(22

)

T5(15

)

T2(13

)

T7(10)

T4(18)

T3-a(14)

T3-c(11)

T3-b(10)

Type

Type A

Type B

The bottleneck step is the one that takes the longest to process a customer. For type A customers, step T3 has three work stations and a capacity of {60/14) + (60/10) + 60/11)} or 15.74 customers per hour. Step T4 can process (60/18) 3.33 customers per hour. Thus step T4 is the bottleneck for type A customers.

Barbara’s BoutiqueApplication 7.1 Solution

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Barbara’s BoutiqueApplication 7.1 Solution

The average capacity is .3 (3.33) + .7(2.73) = 2.9 customers per hour.

• Type A customers would wait before T2 and T4 because the activities immediately preceding them have a higher rate of output.

• Type B customers would wait for steps T5 and T6 for the same reasons.

T1(12)

T6(22

)

T5(15

)

T2(13

)

T7(10)

T4(18)

T3-a(14)

T3-c(11)

T3-b(10)

Type

Type A

Type B

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© 2007 Pearson Education

Diablo Electronics makes 4 unique products, (A,B,C,D) with various demands and selling prices. Batch setup times are negligible. There are 5 workers (1 for each of the 5 work centers V, W, X, Y, Z) paid $18/hour. Overhead costs are $8500/week.

Plant runs 1 Shift/day or 40 hours/week

Your objective:

1. Which of the four workstations W, X, Y, or Z has the highest total workload, and thus serves as the bottleneck for Diablo Electronics?

2. What is the most profitable product to manufacture?

3. What is the best product mix given bottleneck based approach?

Diablo ElectronicsExamples 7.2 and 7.3

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© 2007 Pearson Education© 2007 Pearson Education

Diablo Electronics Flowchart for Products A, B, C, D

$5 Step 1 at Workstation V

(30 min)

Finish with Step 3 at Workstation X

(10 min)

Product: A Price: $75/unit Demand: 60 units/wk

Product A

$3 Step 1 at Workstation Y

(10 min)

Finish with Step 2 at Workstation X

(20 min)

Product B

$2 Step 1 at Workstation W

(5 min)

Step 3 at Workstation X

(5 min)

Finish with Step 4 at Workstation Y

(5 min) Raw Materials

Product C

$2

$3

Purchased Part

Product: B Price: $72/unit Demand: 80 units/wk

Product: C Price: $45/unit Demand: 80 units/wk

$5 Purchased Part

Step 2 at Workstation Z

(5 min)

Step 2 at Workstation Y

(10 min)

Step 1 at Workstation W

(15 min)

Step 2 at Workstation Z

(10 min)

Finish with Step 3 at Workstation Y

(5 min)

$6 Purchased Part

Product: D Price: $38/unit Demand: 100 units/wk

$4

Product D

Raw Materials

Raw Materials

Raw Materials

Purchased Part

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© 2007 Pearson Education

Identifying the Bottleneck

at Diablo Electronics

1400

2300

2600

1900

1800

(100X10) = 1000

(100X5) = 500

0

(100X15) = 1500

0

(80X5) = 400

(80X5) = 400

(80X5) = 400

(80X5) = 400

0

0

(80X10) = 800

(80X20) = 1600

0

0

0

(60X10) = 600

(60X10) = 600

0

(60x30) = 1800

Z

Y

X

W

V

Total Load (minutes)

Load from Product D

Load from Product C

Load from Product B

Load from Product A

Work Station

Bottleneck

Example 7.2

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A

Price $75.00

Raw materials & parts -10.00

Labor -15.00

=Profit margin $50.00

When ordering from highest to lowest, the profit margin per unit order of these products is B,A,C,D

B

$72.00

-5.00

-9.00

$58.00

D

$38.00

-10.00

-9.00

$19.00

Determining the Product Mix at Diablo Electronics

Decision rule 1: Traditional Method - Select the best product mix according to the highest overall profit margin of each product.

Step 1: Calculate the profit margin per unit of each product

C

$45.00

-5.00

-6.00

$34.00

Example 7.3

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© 2007 Pearson Education

Step 2: Allocate resources V,W, X, Y, and Z to the products in the order decided in step 1. Satisfy each demand until the bottleneck resource (workstation X) is encountered. Subtract minutes away from 2,400 minutes available for each week at each stage.

The best product mix according to this traditional approach is then 60 A, 80 B, 40 C, and 100 D.

Traditional Method Product Mix at Diablo Electronics

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Traditional Method Profits

Revenue (60x$75) + (80 x $72) + (40 x $45) + (100 x $38) = $15,860

Materials (60x$10) + (80 x $5) + (40 x $5) + (100 x $10) = – $2,200

Labor (5 workers) x (8 hours/day) x (5 days/wk) x ($18/hr) = – $3,600

Overhead = – $8,500

Profit = $1,560

Notice that in the absence of overtime, the labor cost is fixed at $3,600 per week regardless of the product mix selected.

Manufacturing the product mix of 60 A, 80 B, 40 C, and 100 D will yield a profit of $1,560 per week.

Step 3: Compute profitability for the product mix.

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© 2007 Pearson Education

Bottleneck-based Approach at Diablo Electronics

Decision rule 2: Bottleneck-based approach - The solution can be improved by better using the bottleneck resource. Calculate profit margin per minute at the bottleneck (BN).

Step 1: Calculate profit margin/minute at bottleneck A B C D

Profit Margin $50.00 $58.00 $34.00 $19.00

Time at X 10 min. 20 min. 5 min. 0 min.

Profit margin/ minute $5.00 $2.90 $6.80 Not defined

Allocate resources in order D,C,A,B, which happens to be the reverse under the traditional method. New profitability is computed with new production quantities as follows: 60 A, 70 B, 80 C, 100 D.

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Step 2: Allocate resources V,W, X, Y, and Z to the products in the order decided in step 1. Satisfy each demand until the bottleneck resource (workstation X) is encountered. Subtract minutes away from 2,400 minutes available for each week at each stage.

The best product mix according to this bottleneck-based approach is then 60 A, 70 B, 80 C, and 100 D.

Bottleneck-based Product Mix at Diablo Electronics

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Bottleneck Scheduling Profits

Manufacturing the product mix of 60 A, 70 B, 80 C, and 100 D will yield a profit of $2,490 per week.

Revenue (60x$75) + (70 x $72) + (80 x $45) + (100 x $38) = $16,940

Materials (60x$10) + (70 x $5) + (80 x $5) + (100 x $10) = – $2,350

Labor (5 workers) x (8 hours/day) x (5 days/wk) x ($18/hr) = – $3,600

Overhead = – $8,500

Profit = $2,490

Step 3: Compute profitability for the product mix.

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© 2007 Pearson Education

O’Neill EnterprisesApplications 7.2 and 7.3

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© 2007 Pearson Education

O’Neill Enterprises Flowchart

Step 1 atWorkstation W

(10 min)

Step 3 atWorkstation X

(9 min)

Finish with Step 4 at Workstation Z

(16 min)

Product: APrice: $90/unitDemand: 65 units/wk

Raw Materials

Product A

Step 1 atWorkstation X

(12 min)

Step 3 atWorkstation Y

(10 min)

Finish with Step 4 at Workstation Z

(13 min)

Raw Materials

Product B

Step 1 atWorkstation Y

(5 min)

Step 3 atWorkstation W

(12 min)

Finish with Step 4 at Workstation Z

(10 min)

Raw Materials

Product C

Purchased Part

Purchased Part

Product: BPrice: $85/unitDemand: 70 units/wk

Product: CPrice: $80/unitDemand: 80 units/wk

Purchased Part

Step 2 atWorkstation W

(10 min)

Step 2 atWorkstation X

(10 min)

Step 2 atWorkstation Y

(15 min)$7

$6

$10

$5

$5

$9

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© 2007 Pearson Education

O’Neill EnterprisesApplication 7.2

Bottleneck

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© 2007 Pearson Education

O’Neill EnterprisesApplication 7.3

The senior management at O’Neill Enterprises wants to improve the profitability by accepting the right set of orders. Currently, decisions are made to accept as much of the highest contribution margin product as possible (up to the limit of its demand), followed by the next highest contribution margin product, and so on until no more capacity is available.

Since the firm cannot satisfy all the demand, the product mix must be chosen carefully.

Jane Hathaway, the newly hired production supervisor, is knowledgeable about the theory of constraints and bottleneck based scheduling. She believes that profitability can indeed be approved if bottleneck resources were exploited to determine the product mix.

What is the change in profits if instead of the traditional method that O’Neill has used thus far; a bottleneck based approach advocated by Jane is used instead for selecting the product mix?

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O’Neill EnterprisesDetermining Product Mix

Decision rule 1: Traditional Method - Select the best product mix according to the highest overall profit margin of each product.

Step 1: Calculate the profit margin per unit of each product as shown below.

A B C

Price $90.00 $85.00 $80.00

Raw Material & Purchased Parts -13.00 -14.00 -15.00

Labor -10.00 - 9.00 - 7.40

= Profit Margin $67.00 $62.00 $57.60

When ordering from highest to lowest, the profit margin per unit order of these products is A,B,C.

Application 7.3

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© 2007 Pearson Education

O’Neill EnterprisesTraditional Method Scheduling

Step 2: Allocate resources W, X, Y, and Z to the products in the order decided in step 1. Satisfy each demand until the bottleneck resource (workstation Z) is encountered. Subtract minutes away from 2400 minutes available for each week at each stage.

Work CenterStarting After 65 A After 70 B

Can only Make 45 C

W 2400 1750 1050 510

X 2400 1815 975 525

Y 2400 1425 725 500

Z 2400 1360 450 0

DECISION POINT: The best product mix is 65A, 70B, and 45C

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© 2007 Pearson Education

O’Neill EnterprisesTraditional Method Profit

Step 3: Compute profitability for the selected product mix.

Manufacturing the product mix of 65A, 70B, and 45C will yield a profit of $2980.

Profits

Revenue $15400

Materials - 2500

Overhead - 8000

Labor - 1920

Profit $ 2980

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O’Neill EnterprisesBottleneck-based Approach

Decision Rule 2: Bottleneck-based approach - Select the best product mix according to the dollar contribution per minute of processing time at the bottleneck workstation Z. This rule would take advantage of the principles outlined in the theory of constraints and get the most dollar benefit from the bottleneck.

Step 1: Calculate the contribution/minute of processing time at bottleneck workstation Z:

When ordering from highest to lowest contribution margin/minute at the bottleneck, the manufacturing sequence of these products is

C,B,A, which is reverse of the traditional method order.

Product A Product B Product C

Contribution Margin $67.00 $62.00 $57.00

Time at Bottleneck 16 minutes 13 minutes 10 minutes

Contribution Margin per minute 4.19 4.77 5.76

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© 2007 Pearson Education

O’Neill EnterprisesBottleneck-based Scheduling

Step 2: Allocate resources W, X, Y, and Z to the products in the order decided in step 1. Satisfy each demand until the bottleneck resource (workstation Z) is encountered. Subtract minutes away from 2400 minutes available for each week at each stage.

DECISION POINT: The best product mix is 43 A, 70 B, and 80 C

Work Center Starting After 80 C After 70 B Can Only Make 43 A

W 2400 1440 740 310

X 2400 1600 760 373

Y 2400 2000 1300 655

Z 2400 1600 690 2

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O’Neill EnterprisesBottleneck-based Profit

Step 3: Compute profitability for the selected product mix. The new profitability figures are shown below based on the new production quantities of 43 A, 70 B, and 80 C.

Manufacturing the product mix of 43A, 70B, and 80C will yield a profit of $3561.

Profits

Revenue $16220

Materials - 2739

Overhead - 8000

Labor - 1920

Profit $ 3561

The increase in profit by using the bottleneck scheduling method is $581. By focusing on the bottleneck resources in accepting customer orders and determining the product mix, O’Neill was able to increase the firm’s profitability by 19.5% over the traditional contribution margin method.

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Long-Term Capacity Planning

Short-Term Capacity Planning

Theory of Constraints Identification and management of

bottlenecks Product Mix Decisions using

bottlenecks

Long-term Capacity Planning

Economies and Diseconomies of Scale

Capacity Timing and Sizing Strategies

Systematic Approach to Capacity Decisions

Constraint Management