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Synthetic Time and Learning Curves
Synthetic Time
 Synthetic time means that you can calculate the
basic time rather than find it from observations.
 To have Synthetic time you need to have:
 The nature of the element time is varying with one or
more variables.
 Previous records are available for that element at different
values of the time depending variable (s).
 All expected data about the future time depending
variables.
Synthetic Time (Example)
In a production process the worker is fetching empty
boxes in order to pack the product at. The process
can be divided into four elements as follows: E1:
walking to the empty boxes pile fetch 5 boxes at a
time, E2: Open the box and close the base with tape,
E3: Put products in the box 4 at a time, E4: Close the
box lid with tape. Since the boxes are of different
sizes and the piles are at different places, a time study
was previously done for two different sizes and the
results are given in the following table:
Synthetic Time (Example)
Element 48 products Box 24 Products Box
O1 O2 O3 O4
E1 2:23 min 2:25 min 2:58 min 3:00 min
E2 0:35 min 0:34 min 0:32 min 0:36 min
E3 3:21 min 3:27 min 1:45 min 1:51 min
E4 0:23 min 0:27 min 0:26 min 0:24 min
If the 48 products boxes pile is 7 m away and that of the 24 boxes is 10 m
away, find the standard time for packing 36 products boxes knowing that their
pile will be 5 m away.
Learning Curves
 It is normal that repeating the task for several times
will cause that the worker will be trained on
performing it.
 After training the time needed to complete the task
will be less than the first time the task was done.
Time
per
repetition
Number of repetitions
Y=KX-A,
𝑪 =
𝑲 𝑵𝟐 + 𝟎. 𝟓 𝟏 −𝑨 − 𝑵𝟏 − 𝟎. 𝟓 𝟏 −𝑨
𝟏 − 𝑨
Learning Curves with Remission
 It is assumed that
after remission
the learning will
be faster.
No. of
cycles
Time
Xi CS
R
R=K−(K−S) ×
Xi
CS
S
K
A
A`
Example
A Company wants to establish the standard time for a
certain task using the learning curves method.
Determine the standard time data collected are as
follows:
 Time at 50 cycles = 6.23 min.
 Time at 250 cycles = 5.01 min.
 Total learning time = 2400 min.
If the production stopped after 300 cycles for 2 months
then it is resumed with an order of 600 units.
Determine the time needed for the production of the
new order.
Incentive Schemes
Incentive Schemes
 One of the most important uses of the standard time
is to use it to establish the incentives which will be
given to the workers.
 Workers who are operating faster than standard
should be awarded incentives.
 Those who are operating slower than standard
should be investigated as they may:
 Lack training.
 The job is too difficult or complex for them.
 The are slow workers who are under motivated.
 No reason.
Incentive Schemes
 E: is the worker earning during a specified period.
 H: the number of working hours during the same
period.
 R: the hourly rate.
 S: Standard hours.
 x: The participation starting percentage.
𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑆 − 𝐻 +
Incentive Schemes starting at x%
𝐸 = 𝑅 × 𝐻 + 𝑅 ×
𝑆
𝑥
− 𝐻
+
Incentive participation X %
𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑋 𝑆 − 𝐻 +
𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑋
𝑆
𝑥
− 𝐻
+

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Lecture 8 (Learning Curves).pptx

  • 1. Synthetic Time and Learning Curves
  • 2. Synthetic Time  Synthetic time means that you can calculate the basic time rather than find it from observations.  To have Synthetic time you need to have:  The nature of the element time is varying with one or more variables.  Previous records are available for that element at different values of the time depending variable (s).  All expected data about the future time depending variables.
  • 3. Synthetic Time (Example) In a production process the worker is fetching empty boxes in order to pack the product at. The process can be divided into four elements as follows: E1: walking to the empty boxes pile fetch 5 boxes at a time, E2: Open the box and close the base with tape, E3: Put products in the box 4 at a time, E4: Close the box lid with tape. Since the boxes are of different sizes and the piles are at different places, a time study was previously done for two different sizes and the results are given in the following table:
  • 4. Synthetic Time (Example) Element 48 products Box 24 Products Box O1 O2 O3 O4 E1 2:23 min 2:25 min 2:58 min 3:00 min E2 0:35 min 0:34 min 0:32 min 0:36 min E3 3:21 min 3:27 min 1:45 min 1:51 min E4 0:23 min 0:27 min 0:26 min 0:24 min If the 48 products boxes pile is 7 m away and that of the 24 boxes is 10 m away, find the standard time for packing 36 products boxes knowing that their pile will be 5 m away.
  • 5. Learning Curves  It is normal that repeating the task for several times will cause that the worker will be trained on performing it.  After training the time needed to complete the task will be less than the first time the task was done. Time per repetition Number of repetitions Y=KX-A, 𝑪 = 𝑲 𝑵𝟐 + 𝟎. 𝟓 𝟏 −𝑨 − 𝑵𝟏 − 𝟎. 𝟓 𝟏 −𝑨 𝟏 − 𝑨
  • 6. Learning Curves with Remission  It is assumed that after remission the learning will be faster. No. of cycles Time Xi CS R R=K−(K−S) × Xi CS S K A A`
  • 7. Example A Company wants to establish the standard time for a certain task using the learning curves method. Determine the standard time data collected are as follows:  Time at 50 cycles = 6.23 min.  Time at 250 cycles = 5.01 min.  Total learning time = 2400 min. If the production stopped after 300 cycles for 2 months then it is resumed with an order of 600 units. Determine the time needed for the production of the new order.
  • 9. Incentive Schemes  One of the most important uses of the standard time is to use it to establish the incentives which will be given to the workers.  Workers who are operating faster than standard should be awarded incentives.  Those who are operating slower than standard should be investigated as they may:  Lack training.  The job is too difficult or complex for them.  The are slow workers who are under motivated.  No reason.
  • 10. Incentive Schemes  E: is the worker earning during a specified period.  H: the number of working hours during the same period.  R: the hourly rate.  S: Standard hours.  x: The participation starting percentage. 𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑆 − 𝐻 +
  • 11. Incentive Schemes starting at x% 𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑆 𝑥 − 𝐻 +
  • 12. Incentive participation X % 𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑋 𝑆 − 𝐻 + 𝐸 = 𝑅 × 𝐻 + 𝑅 × 𝑋 𝑆 𝑥 − 𝐻 +