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Page 1: Production Control & Planning

PPC 201

Page 2: Production Control & Planning

Who is he/ she Mohamad Maaroff Bahurdin

Where does he/ she come fromHow to contact

Write & send to▪ [email protected]

Ring me up▪ 019 470 8987

2

Page 3: Production Control & Planning

Who Are YouWhat is Your Background

3

Page 4: Production Control & Planning

Basic of Manufacturing

“If an organization can produce the best quality product / service with the lowest cost and on time delivery, without forgetting the environment and safety regulations, surely can survive in the present day business climate.” Ridzuan 2004

Page 5: Production Control & Planning

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Page 6: Production Control & Planning

Topic 1

Page 7: Production Control & Planning

After studying this lesson, you should be able to: Describe the production function and

its component Define production management

7

Page 8: Production Control & Planning

• Production system function is to convert a set of inputs into a set of desired outputs

InputsConversion process

Outputs

Control

•Land•Building•Machines•Labour capital•Management•Material•other

8

Page 9: Production Control & Planning

Is a strategic decision Consists of form and function Should be dictated by the market

demand

9

Page 10: Production Control & Planning

a) Standardizationb) Reliabilityc) Maintainabilityd) Servicinge) Sustainabilityf) Product simplification

g) Quality commensuration with cost

h) Product valuei) Consumer qualityj) Reproducibilityk) Needs and tastes of

consumers

•Factors to consider: -

• Above of all, the product design should be dictate by the market demand

10

Page 11: Production Control & Planning

Is the framework within which the production activities of an enterprise take place

To ensures the coordination of various production operations

No single pattern of production system which is universally applicable to all types of production system

11

Page 12: Production Control & Planning

1. Continuous production

o standardized products with a standard set of process - mass flow or assembly line production

2. Job or unit production

o production as per customer's specification - varied products

3. Intermittent production

o the goods are produced partly for inventory and partly for customer's orders - Automobile plants, printing presses, electrical goods plant

12

Page 13: Production Control & Planning

Different types of production system are distinct and require different conditions of manufacturing process

Selection of manufacturing process is also a strategic decision as changes are costly.

13

Page 14: Production Control & Planning

Jobbing production one or few units of the products are produced as per

the requirement and specification of the customer

Batch production limited quantities of each of the different types of

products are manufactured on same set of machines

Mass or flow production production run is conducted on a set of machines

arranged according to the sequence of operations

Process Production the production run is conducted for an indefinite

period. 14

Page 15: Production Control & Planning

Effect of volume/variety volume is low and variety is high, intermittent process increase in volume and reduction in variety continuous

process Capacity of the plant

Projected sales volume is the key factor to make a choice between batch and line process.

Lead time continuous process normally yields faster deliveries as

compared to batch process

Flexibility and Efficiency to adapt contemplated changes and volume of

production 15

Page 16: Production Control & Planning

JobbingJobbing

BatchingBatching

LineLine

ProcessProcessDegree of

repetitiveness

One Many

16

Page 17: Production Control & Planning

Is essentially required for efficient and economical production

Involve generally the organization and planning of manufacturing process

Ultimate objective is to organize the supply, movement of materials, labor, machines utilization and related activities

17

Page 18: Production Control & Planning

Production planning without production control is like a bank without a bank manager

Planning initiates action while control is an adjusting process, providing corrective measures for planned development

18

Page 19: Production Control & Planning

19

Production Planning

& Control

Production Planning Production Control

Planning

Routing

Scheduling

Loading

Dispatching

Follow up

Inspection

Corrective

Page 20: Production Control & Planning

the technique of foreseeing every step in a long series of separate operations

to determine the best and cheapest sequence of operations

time that should be required to perform each operation. Production, Master, Manufacturing schedule

execution of the schedule plan as per the route chalked out it includes the assignment of the work to the operators at their machines or work places

Page 21: Production Control & Planning

important step as it translates production plans into production.

helps to reveal detects in routing and scheduling, misunderstanding of orders and instruction, under loading or overloading of work etc.

to ensure the quality of goods

adjusting the route, rescheduling of work changing the workloads, repairs and maintenance of machinery or equipment, control over inventories

Page 22: Production Control & Planning

an important method of minimizing work-in-process inventory

a pull system means you only do what your customer wants just in time

the system pace is determined by the slowest workstation in the system

Pull !Don’t Push !

22

Page 23: Production Control & Planning

1. Explain the meaning of following key words in your own words

(a) Production planning(b) Production control(c) Routing(d) Scheduling

2. What do you understand by production planning and control? Discuss its elements in brief.

23

Page 24: Production Control & Planning

Topic 2

Page 25: Production Control & Planning

By the end of this topic, you should be able to: Define forecast; Identify types of forecasts; Explain forecasting approaches; Solve typical problems using above

approaches; Describe the measures of forecast accuracy;

and Discuss ways of evaluating and controlling

forecasts. 25

Page 26: Production Control & Planning

A forecast is a prediction of what will occur in the future.

A forecast of product demand is the basis for most important planning decisions.

26

Page 27: Production Control & Planning

Good forecasts are important Affect the decisions relating to future

operating plans The impact of product forecast:

Human resources Capacity Supply-Chain Management

27

Page 28: Production Control & Planning

28

Page 29: Production Control & Planning

Time Series Model

Time Series Model

Causal Model

Causal Model

J udgmental Model

J udgmental Model

Forecasting model

Forecasting model

Time Series Model

Time Series Model

Causal Model

Causal Model

J udgmental Model

J udgmental Model

Forecasting model

Forecasting model

29

Page 30: Production Control & Planning

Analysis of subjective inputs obtained from various sources, such as: consumer surveys the sales staff managers and executives panels of experts

30

Page 31: Production Control & Planning

The future values of series can be estimated from the past values.

The data may be measurements of

demand, earnings, profits, shipments, accidents, output, productivity and so on.

31

Page 32: Production Control & Planning

This model uses equations that consist of one or more explanatory variables that can be used to predict future events

Incorporate the variables or factors that might influence the quantity being forecasted into the forecasting model

32

Page 33: Production Control & Planning

Application

Time Horizon

Short Term (0–3 months)

Medium Term (3 months–2 years)

Long Term (more than 2 years)

Forecast quantity •Individual products or services

•Total sales•Groups or families of products or services

•Total sales

Decision area •Inventory management •Final assembly Scheduling•Workforce scheduling•Master production scheduling

•Staff planning•Production planning•Master production scheduling•Purchasing•Distribution

•Facility location•Capacity planning•Process management

Forecasting technique

•Time series•Causal •Judgment

•Causal•Judgment

•Causal•Judgment

33

Page 34: Production Control & Planning

34

Page 35: Production Control & Planning

uses a single previous value of a time series as the basis of a forecast: For a stable series; the demand in the next period = the demand in

the most recent period. ▪ For example:

Sales in a store for last week were 60 units. Therefore, the sale for this week is forecasted to be 60 units also.

For data with trend, the forecast = to the last value of the series plus or minus the difference between the last two values of the series.

▪ For example: Productions in a company for last two months are as follows:

Month Actual change from Previous Month Forecast

April 40

May 43 +3

June 43+3=4635

Page 36: Production Control & Planning

A moving average forecast uses a number of the most recent actual data values in generating a forecast.

Can be computed using the following equation:

n

AMAF

n

it

nt

11

Where i = An index that corresponds to time periods n = Number of periods (data points) in the moving average At = Actual value in period t-iMA = Moving average F = Forecast for time period t

36

Page 37: Production Control & Planning

1. Simple Moving Average Model2. Weighted Moving Averages Model

37

Page 38: Production Control & Planning

WeekWeek

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

| | | | | |00 55 1010 1515 2020 2525 3030

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Actual patientActual patientarrivalsarrivals

Page 39: Production Control & Planning

Actual patientActual patientarrivalsarrivals

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

WeekWeek

| | | | | |00 55 1010 1515 2020 2525 3030

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 40: Production Control & Planning

Actual patientActual patientarrivalsarrivals

Actual patientActual patientarrivalsarrivals

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

WeekWeek

| | | | | |00 55 1010 1515 2020 2525 3030

PatientPatientWeekWeek ArrivalsArrivals

11 40040022 38038033 411411

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 41: Production Control & Planning

Actual patientActual patientarrivalsarrivals

Actual patientActual patientarrivalsarrivals

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

WeekWeek

| | | | | |00 55 1010 1515 2020 2525 3030

PatientPatientWeekWeek ArrivalsArrivals

11 40040022 38038033 411411

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 42: Production Control & Planning

Actual patientActual patientarrivalsarrivals

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

WeekWeek

| | | | | |00 55 1010 1515 2020 2525 3030

PatientPatientWeekWeek ArrivalsArrivals

11 40040022 38038033 411411

FF44 = 397.0 = 397.0

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 43: Production Control & Planning

Actual patientActual patientarrivalsarrivals

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

WeekWeek

| | | | | |00 55 1010 1515 2020 2525 3030

PatientPatientWeekWeek ArrivalsArrivals

11 40040022 38038033 411411

FF44 = 397.0 = 397.0

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 44: Production Control & Planning

Actual patientActual patientarrivalsarrivals

WeekWeek

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

| | | | | |00 55 1010 1515 2020 2525 3030

PatientPatientWeekWeek ArrivalsArrivals

22 38038033 41141144 415415

FF55 = = 415 + 411 + 380415 + 411 + 38033

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 45: Production Control & Planning

Actual patientActual patientarrivalsarrivals

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

WeekWeek

| | | | | |00 55 1010 1515 2020 2525 3030

PatientPatientWeekWeek ArrivalsArrivals

22 38038033 41141144 415415

FF55 = 402.0 = 402.0

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Page 46: Production Control & Planning

WeekWeek

450 450 —

430 430 —

410 410 —

390 390 —

370 370 —

| | | | | |00 55 1010 1515 2020 2525 3030

Pat

ien

t ar

riva

lsP

atie

nt

arri

vals

Actual patientActual patientarrivalsarrivals

3-week MA3-week MAforecastforecast

6-week MA6-week MAforecastforecast

Page 47: Production Control & Planning

Compute three-month moving average forecast, given the production for the last 5 periods as follows:

47

Period Demand

1 42

2 40

3 43

4 40

5 41F6 = ??

Page 48: Production Control & Planning

If actual demand in period 6 turns out to be 38, the moving average forecast for period 7 would be:

Period Demand

1 42

2 40

3 43

4 40

5 41

6 38F7 = ??

48

Page 49: Production Control & Planning

A weighted moving average is calculated by assigning more weight to the most recent values in a time series.

49

Page 50: Production Control & Planning

Given the following data; Compute a weighted average forecast using a weight of 0.40 for the most recent period, 0.30 for the next most recent, 0.20 for the next and 0.10 for the next.

Period Demand

1 42

2 40

3 43

4 40

5 41F6 = ??

50

Page 51: Production Control & Planning

Solution: P6 = (0.10) (40) + (0.20) (43) + (0.30) (40) + 0.40 (41) = 41.0

51

Period Demand

1 42

2 40

3 43

4 40

5 41

Page 52: Production Control & Planning

If the actual demand for period 6 is 39, forecast demand for period weights as in previous part.

Period Demand

1 42

2 40

3 43

4 40

5 41

6 39 F7 = ??

52

Page 53: Production Control & Planning

Solution:F7= 0.10 (43) + (0.20) (40) + 0.30 (41) + (0.40) (39) = 40.2

Note that the weighted moving average is more reflective of the most recent occurrences.

53

Period Demand

1 42

2 40

3 43

4 40

5 41

6 39

Page 54: Production Control & Planning

The following gives the number of pints of type A blood used in a hospital in the past 6 weeks:

Week of Pints used

July31 360

August 7 389

August14 410

August21 381

August28 368

September 5 374

Use a 3-week weighted moving average, with weights of 0.1, 0.3 and0.6, using 0.6 for the most recent week. Forecast demand for the weekof September 12.

54

Page 55: Production Control & Planning

is a sophisticated weighted moving-average forecasting method that is fairly easy to use.

The basic exponential smoothing formula is:

55

Page 56: Production Control & Planning

The formula is: Ft =Ft-1 + α (Dt-1 – Ft-1)

Where, Ft = Forecast for period tFt-1 = Forecast for the previous period α = Smoothing constant Dt-1 = Actual demand or sales for the previous period

Each new forecast is equal to the previous forecast plus a percentage of the previous error.

56

Page 57: Production Control & Planning

For example, previous forecast was 24 units, actual demand was 20 and α = 0.1. The new forecast is,Ft =24 + 0.1 (20-24) = 23.6

Then, if the actual demand turns out to be 25, the next forecast would be Ft = 23.6 + 0.1(25-23.6) = 23.74

57

Page 58: Production Control & Planning

Period (t) Actual demand

α = .10 α = .40

Forecast Error Forecast Error

1 42

2 40 42 -2 42 -2

3 43 41.8 1.2 41.2 1.8

4 40 41.92 -1.92 41.92 -1.92

5 41 41.73 -0.73 41.15 -0.15

6 39 41.66 -2.66 41.09 -2.09

7 46 41.39 4.61 40.25 5.75

8 44 41.85 2.15 42.55 1.45

9 45 42.07 2.93 43.13 1.87

10 38 42.35 -4.35 43.88 -5.88

11 40 41.92 -1.92 41.53 -1.53

12 41.73 40.92 58

Page 59: Production Control & Planning

0

10

20

30

40

50

60

1 2 3 4 5 6 7 8 9 10 11 12

DE

MA

ND

ACTUAL

α = 0.1

α = 0.4

59

Page 60: Production Control & Planning

The following gives the number of pints of type A blood used in a hospital in the past 6 weeks:

Week of Pints used

July31 360

August 7 389

August14 410

August21 381

August28 368

September 5 374

Calculate the forecast for the week of September 12 using exponential smoothing with a forecast for July31 of 360 and α = 0.2.

60

Page 61: Production Control & Planning

Previously, we have discussed simple exponential smoothing. Here we will discuss how the exponential smoothing must be modified when a trend is present.

The basic formula is as follows:

61

Page 62: Production Control & Planning

With trend-adjusted exponential smoothing, estimates for both the average and the trend are smoothed. This procedure requires two smoothing constants, α for the average and β for the trend. We then calculate the average and trend each period:

Ft = α (Actual demand last period) + (1- α) (Forecast last period + Trend estimate last period)

))(1()( 111 tttt TFAF

11 )1()( tttt TFFT

Tt = β (Forecast this period – Forecast last period) + (1- β) (Trend estimate last period)

62

Page 63: Production Control & Planning

))(1()( 111 tttt TFAF

11 )1()( tttt TFFT where

Ft = exponentially smoothed forecast of the data series in period t. Tt = exponentially smoothed trend in period t.At = actual demand in period t.α = smoothing constant for the average (0 ≤ α ≤ 1)β = smoothing constant for the trend (0 ≤ β ≤ 1)

63

Page 64: Production Control & Planning

So the three steps to compute a trend-adjusted forecast are:

Step 1: Compute Ft the exponentially smoothed forecast for period t.

Step 2: Compute the smoothed trend, Tt.

Step 3: Calculate the forecast including trend, FITt.

64

Page 65: Production Control & Planning

Example An Import Agency in Pasir Gudang uses exponential smoothing

to forecast demand for the industrial cleaning machine. It appears that an increasing trend is present.

Month (t)Actual Demand

(At)Month (t)

Actual Demand (At)

1 12 6 21

2 17 7 31

3 20 8 28

4 19 9 36

5 24 10 ?

Smoothing constants are assigned the values of α = 0.2 and β =0.4. Assume the initial forecast for month 1 (F1) was 11 units and the trend over that period (T1) was 2 units.

65

Page 66: Production Control & Planning

Step 1: Forecast for month 2: F2 = α At + (1 - α) (F1 + T1) F2 = (0.2) (12) + (1 - 0.2)(11 + 2) = 12.8 units

Step 2: Compute the trend in period 2: T2 = β (F2 – F1) + (1- β)(T1) T2 = (0.4)(12.8 - 11) +(1 - 0.4)(2) = 1.92

Step 3: Calculate the forecast including trend (FITt) FIT2 =F2 +T2 =12.8 + 1.92 = 14.72 units

66

Page 67: Production Control & Planning

We will also do the same calculations for the third month.

Step 1: F3 = α A2 + (1 - α) (F2 + T2 = (0.2) (17) + (1 - 0.2)

(12.8 + 1.92) = 15.18

Step 2: T3 = β (F3 – F2) + (1 – β) (T2) = (0.4)(15.18 – 12.8)

+ (1-0.4)(1.92)=2.10

Step3: FIT3 =F3 +T3 =15.18 + 2.10=17.28

67

Page 68: Production Control & Planning

The next table completes the forecasts for the 10-month period

MonthActual

DemandSmoothed

Forecast (Ft)Smoothed trend (Tt)

Forecast Including

Trend (FITt)

1 12 11 2 13.00

2 17 12.80 1.92 14.72

3 20 15.18 2.10 17.28

4 19 17.82 2.32 20.14

5 24 19.91 2.23 22.14

6 21 22.51 2.38 24.89

7 31 24.11 2.07 26.18

8 28 27.14 2.45 29.59

9 36 29.28 2.32 31.60

10 - 32.48 2.68 35.16

Forecast with α = 0.2 and β = 0.4 68

Page 69: Production Control & Planning

0

5

10

15

20

25

30

35

40

1 2 3 4 5 876 9

69

Page 70: Production Control & Planning

How do we identify the seasonal variations in a data?

We should understand that seasonal variations in a time series are related to recurring events such as weather or holidays. Seasonality may be applied to hourly, daily, monthly or other recurring patterns.

70

Page 71: Production Control & Planning

The monthly sales at a computer centre in Bandar Tun Dr Ismail for 2003 to 2005 is shown in the table below. Compute the seasonal indices of every month in a year.

Month

DemandAverage

2003-2005 demand

Average monthly demanda

Seasonal Indexb

2003 2004 2005

Jan. 80 85 105 90 94 0.957 (= 90/94)

Feb. 70 85 85 80 94 0.851 (= 80/94)

Mar. 80 93 82 85 94 0.904 (= 85/94)

Apr. 90 95 115 100 94 1.064 (= 100/94)

May 113 125 131 123 94 1.309 (= 123/94)

June 110 115 120 115 94 1.223 (= 115/94)

July 100 102 113 105 94 1.117 (= 105/94)

Aug. 88 102 110 100 94 1.064 (= 100/94)

Sept. 85 90 95 90 94 0.957 (= 90/94)

Oct. 77 78 85 80 94 0.851 (= 80/94)

Nov. 75 82 83 80 94 0.851 (= 80/94)

Dec. 82 78 80 80 94 0.851 (= 80/94)

Total average demand = 1 128

71

Page 72: Production Control & Planning

A) Average monthly demand = 1 128 = 94 12 months

B) Seasonal index = Average 2003 – 2005 monthly demand Average monthly demand

If we expected the 2006 annual demand for computers to be 1200 units, we would use these seasonal indices to forecast the monthly demand as follows:

72

Page 73: Production Control & Planning

Month Demand Month Demand

Jan.1 200 x 0.957 = 96

12July

1 200 x 1.117 = 11212

Feb.1 200 x 0.851 = 85

12Aug.

1 200 x 1.064 = 10612

Mar.1 200 x 0.904 = 90

12Sept.

1 200 x 0.957 = 9612

Apr.1 200 x 1.064 = 106

12Oct.

1 200 x 0.851 = 8512

May1 200 x 1.309 = 131

12Nov.

1 200 x 0.851 = 8512

June1 200 x 1.223 = 122

12Dec.

1 200 x 0.851 = 8512

73

Page 74: Production Control & Planning

QuarterQuarter Year 1Year 1 Year 2Year 2 Year 3Year 3 Year 4Year 4

11 4545 7070 100100 10010022 335335 370370 585585 72572533 520520 590590 830830 1160116044 100100 170170 285285 215215

TotalTotal 10001000 12001200 18001800 22002200

Year 5 quarterly demand?

Expected Year 5 annual demand to be 2600 units

Page 75: Production Control & Planning

Forecast error is the difference between the value that occurs and the value that was predicted for a given time period.

Forecast error = Actual demand - Forecast value

EtEt = = DtDt – – FtFt

75

Page 76: Production Control & Planning

Three commonly used measures to calculate the overall forecast errors are: Mean Absolute Deviation (MAD) Mean Squared Error (MSE) Mean Absolute Percent Error (MAPE)

76

Page 77: Production Control & Planning

Measures of Forecast ErrorMeasures of Forecast Error

EEtt = = DDtt – – FFtt

||EEt t ||

nn

EEtt22

nn

CFE = CFE = EEtt

==MSE = MSE =

MAD = MAD = MAPE = MAPE = [[ ||EEt t | (100)| (100) ]] // DDtt

nn

((EEtt – E – E ))22

nn – 1– 1

Page 78: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 -25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

Page 79: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

Measures of Error

Page 80: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

CFE = – 15

Measures of Error

Page 81: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

CFE = – 15

Measures of Error

E = = – 1.875– 15

8

Page 82: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

MSE = = 659.45275

8

CFE = – 15

Measures of Error

E = = – 1.875– 15

8

Page 83: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

MSE = = 659.45275

8

CFE = – 15

Measures of Error

E = = – 1.875– 15

8

= 27.4

Page 84: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

MSE = = 659.45275

8

CFE = – 15

Measures of Error

MAD = = 24.4195

8

E = = – 1.875– 15

8

= 27.4

Page 85: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

MSE = = 659.45275

8

CFE = – 15

Measures of Error

MAD = = 24.4195

8

MAPE = = 10.2%81.3%

8

E = = – 1.875– 15

8

= 27.4

Page 86: Production Control & Planning

Absolute Error Absolute Percent

Month, Demand, Forecast, Error, Squared, Error, Error, t Dt Ft Et Et

2 |Et| (|Et|/Dt)(100)

1 200 225 –25 625 25 12.5% 2 240 220 20 400 20 8.3 3 300 285 15 225 15 5.0 4 270 290 –20 400 20 7.4 5 230 250 –20 400 20 8.7 6 260 240 20 400 20 7.7 7 210 250 –40 1600 40 19.0 8 275 240 35 1225 35 12.7

Total –15 5275 195 81.3%

MSE = = 659.45275

8

CFE = – 15

Measures of Error

MAD = = 24.4195

8

MAPE = = 10.2%81.3%

8

E = = – 1.875– 15

8

= 27.4