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Levelling Of Low Volume And High Mix Production Based On
A Group Technology Approach
Dinesh Chandra Pant
M.Tech- CAD,CAM & ROBOTICS
Indian Institute of Technology
Roorkee
WHAT IS PRODUCT LEVELLING?
PRODUCTION LEVELLING WITH AN EXAMPLE
PRODUCTION LEVELLING,
Also known as production smoothing or – by its Japanese original term –
heijunka, is a technique for reducing the mura (unevenness) which in turn
reduces muda (waste).
• It was vital to the development of production efficiency in the Toyota
production and lean production system.
• The goal is to produce intermediate goods at a constant rate so that further
processing may also be carried out at a constant and predictable rate.
THE NEED FOR HEIJUNKA
Large batches of the same product may reduce set-up times and changeovers,
but usually result in:
• Long lead times.
• Swelling inventories.
• Greater opportunities for defect.
• Excessive idle time and/or overtime.
Levelling of low
volume and high
Production mix
Product family
formation for
levelling
Levelling pattern
creation
•Selection of adequate grouping
criteria.
•Application of NSGA-II to optimize
attribute weights.
•Using k-means for clustering.
•Selection of a Pareto optimal
solution.
•ABC/XYZ analysis.
•Determination of a family sequence
with minimal changeover time.
•EFEI-Calculation.
•Determination of capacity slots in the
levelling pattern.
•Pattern improvement.
FLOW CHART FOR PRODUCTION LEVELLING
CLUSTER VALIDATION
Criteria for cluster validation-
• The first criterion is the homogeneity of the formed
families.
• The partition size.
• The size of the formed product families.
• the number of very small product families
DESIRABILITY INDEX
Desirability W is defined as :
W:{w1,w2.....wd} [0,1]
the desirability index W is defined as the geometric mean of four desirability:
𝑊 𝐶 𝐾 =
4
𝑖=1
4
𝑤𝑖
Where C(k) is the partition size of the family
𝑊1 𝐶
𝑘
= 1 − 𝑖=1
𝑘 𝑋 𝑗
𝑋𝑙
∈
𝐶 𝑘
,𝑗≠𝑙 𝑑(𝑋𝑗,𝑋𝑙)
𝑘 𝐶 𝑘
−1 2
𝑊2 𝐶
𝑘
=
0 𝑘 = 1
𝑘 − 1
𝑘 𝑚𝑖𝑛 − 2
2
𝑘 ∈ {2,3 … . 𝑘 𝑚𝑖𝑛 − 1
1 𝑘 ∈ {𝑘 𝑚𝑖𝑛, 𝑘 𝑚𝑖𝑛 + 1 … .
𝑘 𝑚𝑎𝑥}
100 − 𝑘
100 − 𝑘 + 1
3
∈ {𝑘 𝑚𝑎𝑥 … . . 99}
0 𝑘 ∈ 𝑛 ∶ 𝑘 > 99
W3 𝐶
𝑘
= 1 −
𝑛 𝑤−𝑚𝑖𝑛𝐶
𝑘
𝑛𝑤)
maxC
𝑘
(𝑛𝑤)−𝑚𝑖𝑛𝐶
𝑘
𝑛 𝑤
𝑊4 𝐶
𝑘
= 2
− 𝛼
Identification of runner and stranger families
• Creation of the levelling pattern starts with family-based ABC/XYZ analysis.
• Families are segmented according to overall volume share and variation in
volume as well.
• Product families are divided into runner and stranger families.
• Runner families are characterized by high volume, high order frequency,
and low variation in demand.
• In contrast, strangers are produced in relatively low volume, low order
frequency, and high variation in demand.
LEVELLING PATTERN CREATION
ABC/XYZ ANALYSIS
SEQUENCING
The sequence of the families within the levelling cycle Significantly determines the
overall Change-over time that is Required to pass one cycle.
Travelling salesman Problem-
• The travelling salesman problem consists of a salesman and a set of cities.
• The salesman has to visit each one of the cities starting from a certain one (e.g.
The hometown) and returning to the same city.
• The challenge of the problem is that the travelling salesman wants to minimize
the total length of the path
12
5
2
8
4 3
10
3
EXAMPLE OF TSP
The problem lies in finding a minimal path passing from all vertices once. For example the path Path1 {A,
B, C, D, E, A} and the path Path2 {A, B, C, E, D, A} pass all the vertices but Path1 has a total length of 24
and Path2 has a total length of 31.
EFEI CALCULATION
The available overall capacity for changeover of levelling families RLg(measured
in hours per month) is defined as:
RLg=[NGK*(1-KE)]-KRG
Where,
NGK represents the available net capacity,
KRG is the capacity required for production of levelling families (both measured
in hours per month) .
KE specifies the ratio of capacity required for production and changeover of
stranger families.
Calculation for available overall capacity of changeover
To determine the EFEI-value, the rounded off quotient lcth of overall capacity for
changeover of levelling families RLg changeover time required for one levelling
cycle RZ is used:
𝑙𝑐𝑡ℎ = |
𝑅𝐿𝑔
𝑅𝑍
|
𝐸𝐹𝐸𝐼𝑡ℎ =
𝐴𝑆
𝑙𝑐𝑡ℎ
Where AS represents the total quantity of working shifts per month
EFEI CALCULATION
DETERMINATION OF CAPACITY SLOTS
The chosen EFEI-value (EFEIch) determines the number of levelling cycles per month
lch
𝑙 𝑐ℎ =
𝐴𝑆
𝐸𝐹𝐸𝐼 𝑐ℎ
Based on this, capacity slots in the levelling pattern are determined for each levelling
family.
Such a capacity slot ZFi consists of a production and a changeover time component
𝑍𝐹𝑖 =
𝐾𝑅𝑖
𝑙𝑐 𝑐ℎ
+ 𝑟, 𝑖. . 𝑖 + 1
CONCLUSION
• This paper presents a systematic procedure for levelling low volume and
high mix production based on the principles of Group Technology.
• This procedure uses clustering techniques to subsume the large number of
product types into a manageable number of product families.
• These families are utilized to create a family-oriented levelling pattern.
Production levelling of low volume and high mix production system based on group technology.

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Production levelling of low volume and high mix production system based on group technology.

  • 1. Levelling Of Low Volume And High Mix Production Based On A Group Technology Approach Dinesh Chandra Pant M.Tech- CAD,CAM & ROBOTICS Indian Institute of Technology Roorkee
  • 2. WHAT IS PRODUCT LEVELLING?
  • 4. PRODUCTION LEVELLING, Also known as production smoothing or – by its Japanese original term – heijunka, is a technique for reducing the mura (unevenness) which in turn reduces muda (waste). • It was vital to the development of production efficiency in the Toyota production and lean production system. • The goal is to produce intermediate goods at a constant rate so that further processing may also be carried out at a constant and predictable rate.
  • 5. THE NEED FOR HEIJUNKA Large batches of the same product may reduce set-up times and changeovers, but usually result in: • Long lead times. • Swelling inventories. • Greater opportunities for defect. • Excessive idle time and/or overtime.
  • 6. Levelling of low volume and high Production mix Product family formation for levelling Levelling pattern creation •Selection of adequate grouping criteria. •Application of NSGA-II to optimize attribute weights. •Using k-means for clustering. •Selection of a Pareto optimal solution. •ABC/XYZ analysis. •Determination of a family sequence with minimal changeover time. •EFEI-Calculation. •Determination of capacity slots in the levelling pattern. •Pattern improvement. FLOW CHART FOR PRODUCTION LEVELLING
  • 7. CLUSTER VALIDATION Criteria for cluster validation- • The first criterion is the homogeneity of the formed families. • The partition size. • The size of the formed product families. • the number of very small product families
  • 8. DESIRABILITY INDEX Desirability W is defined as : W:{w1,w2.....wd} [0,1] the desirability index W is defined as the geometric mean of four desirability: 𝑊 𝐶 𝐾 = 4 𝑖=1 4 𝑤𝑖 Where C(k) is the partition size of the family 𝑊1 𝐶 𝑘 = 1 − 𝑖=1 𝑘 𝑋 𝑗 𝑋𝑙 ∈ 𝐶 𝑘 ,𝑗≠𝑙 𝑑(𝑋𝑗,𝑋𝑙) 𝑘 𝐶 𝑘 −1 2
  • 9. 𝑊2 𝐶 𝑘 = 0 𝑘 = 1 𝑘 − 1 𝑘 𝑚𝑖𝑛 − 2 2 𝑘 ∈ {2,3 … . 𝑘 𝑚𝑖𝑛 − 1 1 𝑘 ∈ {𝑘 𝑚𝑖𝑛, 𝑘 𝑚𝑖𝑛 + 1 … . 𝑘 𝑚𝑎𝑥} 100 − 𝑘 100 − 𝑘 + 1 3 ∈ {𝑘 𝑚𝑎𝑥 … . . 99} 0 𝑘 ∈ 𝑛 ∶ 𝑘 > 99 W3 𝐶 𝑘 = 1 − 𝑛 𝑤−𝑚𝑖𝑛𝐶 𝑘 𝑛𝑤) maxC 𝑘 (𝑛𝑤)−𝑚𝑖𝑛𝐶 𝑘 𝑛 𝑤 𝑊4 𝐶 𝑘 = 2 − 𝛼
  • 10.
  • 11. Identification of runner and stranger families • Creation of the levelling pattern starts with family-based ABC/XYZ analysis. • Families are segmented according to overall volume share and variation in volume as well. • Product families are divided into runner and stranger families. • Runner families are characterized by high volume, high order frequency, and low variation in demand. • In contrast, strangers are produced in relatively low volume, low order frequency, and high variation in demand. LEVELLING PATTERN CREATION
  • 13. SEQUENCING The sequence of the families within the levelling cycle Significantly determines the overall Change-over time that is Required to pass one cycle. Travelling salesman Problem- • The travelling salesman problem consists of a salesman and a set of cities. • The salesman has to visit each one of the cities starting from a certain one (e.g. The hometown) and returning to the same city. • The challenge of the problem is that the travelling salesman wants to minimize the total length of the path
  • 14. 12 5 2 8 4 3 10 3 EXAMPLE OF TSP The problem lies in finding a minimal path passing from all vertices once. For example the path Path1 {A, B, C, D, E, A} and the path Path2 {A, B, C, E, D, A} pass all the vertices but Path1 has a total length of 24 and Path2 has a total length of 31.
  • 15. EFEI CALCULATION The available overall capacity for changeover of levelling families RLg(measured in hours per month) is defined as: RLg=[NGK*(1-KE)]-KRG Where, NGK represents the available net capacity, KRG is the capacity required for production of levelling families (both measured in hours per month) . KE specifies the ratio of capacity required for production and changeover of stranger families.
  • 16. Calculation for available overall capacity of changeover
  • 17. To determine the EFEI-value, the rounded off quotient lcth of overall capacity for changeover of levelling families RLg changeover time required for one levelling cycle RZ is used: 𝑙𝑐𝑡ℎ = | 𝑅𝐿𝑔 𝑅𝑍 | 𝐸𝐹𝐸𝐼𝑡ℎ = 𝐴𝑆 𝑙𝑐𝑡ℎ Where AS represents the total quantity of working shifts per month EFEI CALCULATION
  • 18. DETERMINATION OF CAPACITY SLOTS The chosen EFEI-value (EFEIch) determines the number of levelling cycles per month lch 𝑙 𝑐ℎ = 𝐴𝑆 𝐸𝐹𝐸𝐼 𝑐ℎ Based on this, capacity slots in the levelling pattern are determined for each levelling family. Such a capacity slot ZFi consists of a production and a changeover time component 𝑍𝐹𝑖 = 𝐾𝑅𝑖 𝑙𝑐 𝑐ℎ + 𝑟, 𝑖. . 𝑖 + 1
  • 19. CONCLUSION • This paper presents a systematic procedure for levelling low volume and high mix production based on the principles of Group Technology. • This procedure uses clustering techniques to subsume the large number of product types into a manageable number of product families. • These families are utilized to create a family-oriented levelling pattern.