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ISE324

ISE324. Recitation questions for chapter 15. 15.26.

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ISE324

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  1. ISE324 Recitation questions for chapter 15

  2. 15.26 Three models A, B, and C are to be assembled on a mixed model line. Hourly production rates for the three models are: A, 15 units/hr; B, 10 units/hr; and C, 5 units/hr. The work elements, element times, and precedence requirements are given in the table below. Assume E = 1.0, Er = 1.0, and Mi = 1. (a) Construct the precedence diagram for each model and for all three models combined into one diagram. (b) Find the theoretical minimum number of workstations required to achieve the required production rate. (c) Use the Kilbridge and Wester method to solve the line balancing problem. (d) Determine the balance efficiency for the solution in (c).

  3. 15.26

  4. Solution: a) Precedence diagrams:

  5. Combined diagram We find the combined diagram:

  6. b) Given M = 1, E = 1, Er = 1, and therefore,AT = 60 min, ( AT=60EEr Eb ) n = w = Minimum Integer  WL/AT = = 2.78 3 workstations and 3 workers

  7. c) • Computation of workload:

  8. c) continuing • Line balancing solution using Kilbridge & Wester method: II VI I III (Ts=max{Tsi}=max{60, 56, 51}=60 )

  9. d) Balance efficiency:

  10. 15.28 For Problem 15.26, determine (a) the fixed rate launching interval and (b) the launch sequence of models A, B, and C during one hour of production. Solution: a) Combined production rate of models: Rp = 15 + 10 + 5 = 30 units/hr

  11. b)

  12. We note that the hourly production rates of the three models (15/hr for A and 10/hr for B and 5/hr for C) are all divisible by 5 (3 per 12 min for A, 2 per 12 min for B, and 1 per 12 min for C). Thus the sequence should repeat every 6 launches, 5 times each hour. The following table indicates the solution for one cycle (see equations for first three columns following launching sequence):

  13. Wechoosethe model which has theminequationvalue in eachrow As we can seefromthetable, thelaunchsequenceforthe 12 minperiod is B,A,C,A,B,A, Whichwillrepeat 5 times eachhour.

  14. Findingtheequationvalues of thetable

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