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Facility Layout

Dr. Everette S. Gardner, Jr.
Machine shop process layout
  Receiving                              Grin-
                           Mills         ders
  Raw     matl.                                    Large number
                                                         of
    storage                    Assem-               low volume
                                   bly                products
                  Drills
 Planers

                                      Finished
                               Inspec- goods
 Lathes       Automatics         tion    storage


                  Part A
                  Part B
                           Facility Layout               2
Product layout
         Raw matl.                     Fabrication
Rec-     storage              line-part B
eiving                 Fabrication           Planer
                        line-part A
    Finished                                   Lathe
     goods                       Drill
                                                         Small number
    storage                                    Mill            of
                             Mill                         high volume
                                          Drill             products
                                 Grinder
                                                Mill

               Assembly line                 Automatic




                         Facility Layout                    3
Possible solutions to the process
layout problem
6 Department problem has 6! or 720 possible solutions:
   A                     B                    C




   D                     E                    F


  I.E., there are 720 different arrangements of the 6 departments
  on the 6 locations on the grid.

                    Facility Layout                   4
Possible solutions to the process
layout problem (cont.)
Problem complexity grows exponentially:

Nbr. depts.             Solutions
    10           3,628,800
    15           1.31 x 10^12
    20           2.43 x 10^18
    50           3.04 x 10^64



              Facility Layout        5
Solutions considered by Craft

• N! solutions to problem with N depts.

• Craft considers only

    N(N-1)   pairs of exchanges,
     2       starting with each
             dept.




                Facility Layout       6
Craft initial layout of furniture plant

           A               B           C

           D                       E


           F                   G

                       I                   H

                      J

          TOTAL COST = $2524.68
               Facility Layout                 7
Craft final layout




      A E   C        I     G F B H J D




            TOTAL COST = $766.68
                Facility Layout          8
Synopsis of assembly line
 balancing
1.   Set up a precedence table.

2.   Compute required cycle time:
      C = (production time) / (required output in units)

3.   Compute minimum cycle time:
      CMIN = time for longest task

4.   Compute minimum number of stations :
      SMIN = (sum of all times) / C
                    Facility Layout              9
Synopsis of assembly line
balancing (cont.)
5.   Select rule by which tasks are assigned to work
     stations.
     Examples:
       (1) select tasks with longest operation times first or
       (2) select tasks with largest number of following tasks first

6.   Assign tasks to the first work station until the sum
     of the task times are equal to the cycle time, or no
     other tasks are feasible. Repeat for stations 2, 3,
     … until tasks are assigned.

7.   Evaluate the efficiency of the balance:
       E = (sum of all times) / (actual nbr. of stations x C)

                      Facility Layout                    10
Line balancing quiz

                0.4
                   B 0.3         1.1
       1.1     0.5         E           G 0.7       0.3
        A       C                              I         J
                1.2    0.4       0.8
                   D         F         H

Balance this production line to achieve an output of 367 units per
day. Available production time is 8 hrs. less a 40 min. lunch break.
Use the largest number of following tasks rule to select tasks for
work stations. Break ties with the longest operation time.


                      Facility Layout                        11
Multiple solutions in line balancing
         6
             B               4
                                 F
         7
  3          C                       5
  A                                      H
         5               5
             D                   G

         2
             E


                 Facility Layout             12
Multiple solutions in line balancing
(cont.)
                                           84
  Number of solutions




                                     25


                                                    3
                        1   2    3     4        5       6   7
                                  Stations
                            Facility Layout                     13
Volvo layouts

                             Rotating
                             round table
                             with definite
                             cycle time --
                             facilitates teamwork




           Facility Layout                14
Volvo layouts (cont.)


                             Horseshoe
                             conveyor
                             sections to
                             enable worker
                             communications




           Facility Layout              15
Volvo layouts (cont.)


                                    Interim storage
        Storage                     areas to separate
                                    line into definite
                                    supervisory groups
  Supervisor      Supervisor
     B               A




                  Facility Layout               16
Volvo layouts (cont.)

                             Machines grouped
                             in banks of 3
                             so workers can
                             exchange jobs and
                             assist each other
                             in set-up




           Facility Layout               17
Volvo continued


                            E

                  S                  S
                            E

                  S                  S
                            E

                  S                  S

Connections of subassembly islands feed parts/components to
end-assembly islands—each island functions as a separate team
                   Facility Layout                18

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Facility Layout Optimization

  • 2. Machine shop process layout Receiving Grin- Mills ders Raw matl. Large number of storage Assem- low volume bly products Drills Planers Finished Inspec- goods Lathes Automatics tion storage Part A Part B Facility Layout 2
  • 3. Product layout Raw matl. Fabrication Rec- storage line-part B eiving Fabrication Planer line-part A Finished Lathe goods Drill Small number storage Mill of Mill high volume Drill products Grinder Mill Assembly line Automatic Facility Layout 3
  • 4. Possible solutions to the process layout problem 6 Department problem has 6! or 720 possible solutions: A B C D E F I.E., there are 720 different arrangements of the 6 departments on the 6 locations on the grid. Facility Layout 4
  • 5. Possible solutions to the process layout problem (cont.) Problem complexity grows exponentially: Nbr. depts. Solutions 10 3,628,800 15 1.31 x 10^12 20 2.43 x 10^18 50 3.04 x 10^64 Facility Layout 5
  • 6. Solutions considered by Craft • N! solutions to problem with N depts. • Craft considers only N(N-1) pairs of exchanges, 2 starting with each dept. Facility Layout 6
  • 7. Craft initial layout of furniture plant A B C D E F G I H J TOTAL COST = $2524.68 Facility Layout 7
  • 8. Craft final layout A E C I G F B H J D TOTAL COST = $766.68 Facility Layout 8
  • 9. Synopsis of assembly line balancing 1. Set up a precedence table. 2. Compute required cycle time: C = (production time) / (required output in units) 3. Compute minimum cycle time: CMIN = time for longest task 4. Compute minimum number of stations : SMIN = (sum of all times) / C Facility Layout 9
  • 10. Synopsis of assembly line balancing (cont.) 5. Select rule by which tasks are assigned to work stations. Examples: (1) select tasks with longest operation times first or (2) select tasks with largest number of following tasks first 6. Assign tasks to the first work station until the sum of the task times are equal to the cycle time, or no other tasks are feasible. Repeat for stations 2, 3, … until tasks are assigned. 7. Evaluate the efficiency of the balance: E = (sum of all times) / (actual nbr. of stations x C) Facility Layout 10
  • 11. Line balancing quiz 0.4 B 0.3 1.1 1.1 0.5 E G 0.7 0.3 A C I J 1.2 0.4 0.8 D F H Balance this production line to achieve an output of 367 units per day. Available production time is 8 hrs. less a 40 min. lunch break. Use the largest number of following tasks rule to select tasks for work stations. Break ties with the longest operation time. Facility Layout 11
  • 12. Multiple solutions in line balancing 6 B 4 F 7 3 C 5 A H 5 5 D G 2 E Facility Layout 12
  • 13. Multiple solutions in line balancing (cont.) 84 Number of solutions 25 3 1 2 3 4 5 6 7 Stations Facility Layout 13
  • 14. Volvo layouts Rotating round table with definite cycle time -- facilitates teamwork Facility Layout 14
  • 15. Volvo layouts (cont.) Horseshoe conveyor sections to enable worker communications Facility Layout 15
  • 16. Volvo layouts (cont.) Interim storage Storage areas to separate line into definite supervisory groups Supervisor Supervisor B A Facility Layout 16
  • 17. Volvo layouts (cont.) Machines grouped in banks of 3 so workers can exchange jobs and assist each other in set-up Facility Layout 17
  • 18. Volvo continued E S S E S S E S S Connections of subassembly islands feed parts/components to end-assembly islands—each island functions as a separate team Facility Layout 18