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Time Series Forecasts:Techniques for Averaging, Simple Moving Average Solution

<< Roadmap to the Lecture:Fundamental Types of Forecasts, Finer Classification of Forecasts
The formula for the moving average is:Exponential Smoothing Model, Common Nonlinear Trends >>
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Production and Operations Management ­MGT613
VU
Lesson 09
Time Series Forecasts
·Trend - long-term upward or downward movement in data often relates to population shifts,
changing incomes, and cultural changes.
·Seasonality - short-term fairly regular variations in data related to factors like weather, festive
holidays and vacations. Mostly experienced by supermarkets, restaurants, theatres, theme
parks.
·Cycle ­ wavelike variations of more than one year's duration these occurs because of political,
economic and even agricultural conditions
·Irregular variations - caused by unusual circumstances such as severe weathers, earthquakes,
worker strikes, or major change in product or service. They do not capture or reflect the true
behavior of a variable and can distort the overall picture. These should be identified and
removed from the data.
·Random variations - caused by chance and are in reality are the residual variations that remain
after the other behaviors have been identified and accounted for.
Forecast Variations
Techniques for Averaging
·Moving average
·Weighted moving average
·Exponential smoothing
·Moving average ­ A technique that averages a number of recent actual values, updated as new
values become available.
·Weighted moving average ­ More recent values in a series are given more weight in
computing the forecast.
Simple Moving Average Formula
·The simple moving average model assumes an average is a good estimator of future behavior
·The formula for the simple moving average is:
A  t-1 + A  t-2 + A  t-3 + ... + A  t-n
Ft =
n
Ft = Forecast for the coming period
N = Number of periods to be averaged
At-1 = Actual occurrence in the past period for up to "n" periods
Simple Moving Average Problem (1)
Question: What are the 3-week and 6-week moving average forecasts for demand?
Assume you only have 3 weeks and 6 weeks of actual demand data for the respective forecasts.
37
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Production and Operations Management ­MGT613
VU
Week Demand
1
650
2
678
3
720
4
785
5
859
6
920
7
850
8
758
9
892
10
920
11
789
12
844
Simple Moving Average Solution (1)
W eek
Demand 3-W eek
6-W eek
1
650 F4=(650+678+720)/
678 3 =682.67
2
3
720
F =(650+678+720
4
785
682.67   7 +785+859+920)/6
5
859
727.67   =768.67
6
920
788.00
7
850
854.67
768.67
8
758
876.33
802.00
9
892
842.67
815.33
10
920
833.33
844.00
11
789
856.67
866.50
12
844
867.00
854.83
38
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Production and Operations Management ­MGT613
VU
Simple Moving Average Problem (2) Data
Question: What is the 3 week moving average forecast for this data?
Assume you only have 3 weeks and 5 weeks of actual demand data for the respective forecasts.
Week Demand
1
820
2
775
3
680
4
655
5
620
6
600
7
575
Simple Moving Average Problem (2) Solution
W eek
Demand
3-W eek
5-W eek
1
820
F4=(820+775+680)/3
=758.33
2
775
F6=(820+775+680
3
680
+655+620)/5
=710.00
4
655
758.33
5
620
703.33
6
600
651.67
710.00
7
575
625.00
666.00
39
Table of Contents:
  1. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT
  2. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT:Decision Making
  3. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT:Strategy
  4. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT:Service Delivery System
  5. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT:Productivity
  6. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT:The Decision Process
  7. INTRODUCTION TO PRODUCTION AND OPERATIONS MANAGEMENT:Demand Management
  8. Roadmap to the Lecture:Fundamental Types of Forecasts, Finer Classification of Forecasts
  9. Time Series Forecasts:Techniques for Averaging, Simple Moving Average Solution
  10. The formula for the moving average is:Exponential Smoothing Model, Common Nonlinear Trends
  11. The formula for the moving average is:Major factors in design strategy
  12. The formula for the moving average is:Standardization, Mass Customization
  13. The formula for the moving average is:DESIGN STRATEGIES
  14. The formula for the moving average is:Measuring Reliability, AVAILABILITY
  15. The formula for the moving average is:Learning Objectives, Capacity Planning
  16. The formula for the moving average is:Efficiency and Utilization, Evaluating Alternatives
  17. The formula for the moving average is:Evaluating Alternatives, Financial Analysis
  18. PROCESS SELECTION:Types of Operation, Intermittent Processing
  19. PROCESS SELECTION:Basic Layout Types, Advantages of Product Layout
  20. PROCESS SELECTION:Cellular Layouts, Facilities Layouts, Importance of Layout Decisions
  21. DESIGN OF WORK SYSTEMS:Job Design, Specialization, Methods Analysis
  22. LOCATION PLANNING AND ANALYSIS:MANAGING GLOBAL OPERATIONS, Regional Factors
  23. MANAGEMENT OF QUALITY:Dimensions of Quality, Examples of Service Quality
  24. SERVICE QUALITY:Moments of Truth, Perceived Service Quality, Service Gap Analysis
  25. TOTAL QUALITY MANAGEMENT:Determinants of Quality, Responsibility for Quality
  26. TQM QUALITY:Six Sigma Team, PROCESS IMPROVEMENT
  27. QUALITY CONTROL & QUALITY ASSURANCE:INSPECTION, Control Chart
  28. ACCEPTANCE SAMPLING:CHOOSING A PLAN, CONSUMER’S AND PRODUCER’S RISK
  29. AGGREGATE PLANNING:Demand and Capacity Options
  30. AGGREGATE PLANNING:Aggregate Planning Relationships, Master Scheduling
  31. INVENTORY MANAGEMENT:Objective of Inventory Control, Inventory Counting Systems
  32. INVENTORY MANAGEMENT:ABC Classification System, Cycle Counting
  33. INVENTORY MANAGEMENT:Economic Production Quantity Assumptions
  34. INVENTORY MANAGEMENT:Independent and Dependent Demand
  35. INVENTORY MANAGEMENT:Capacity Planning, Manufacturing Resource Planning
  36. JUST IN TIME PRODUCTION SYSTEMS:Organizational and Operational Strategies
  37. JUST IN TIME PRODUCTION SYSTEMS:Operational Benefits, Kanban Formula
  38. JUST IN TIME PRODUCTION SYSTEMS:Secondary Goals, Tiered Supplier Network
  39. SUPPLY CHAIN MANAGEMENT:Logistics, Distribution Requirements Planning
  40. SUPPLY CHAIN MANAGEMENT:Supply Chain Benefits and Drawbacks
  41. SCHEDULING:High-Volume Systems, Load Chart, Hungarian Method
  42. SEQUENCING:Assumptions to Priority Rules, Scheduling Service Operations
  43. PROJECT MANAGEMENT:Project Life Cycle, Work Breakdown Structure
  44. PROJECT MANAGEMENT:Computing Algorithm, Project Crashing, Risk Management
  45. Waiting Lines:Queuing Analysis, System Characteristics, Priority Model