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CREW SCHEDULING

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The document discusses crew scheduling and provides a mathematical model for optimizing service engineer assignments. It describes the problem of assigning 11 service engineers to customer calls between 1pm-5pm in a way that minimizes costs. A linear program is formulated in Lingo with decision variables to represent single, double and triple customer assignments. The model is solved, finding an optimal solution with a cost of $99 assigning specific engineers to individual and grouped customer calls.

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CREW SCHEDULING İ.HAKAN KARAÇİZMELİ
GENERAL VIEW ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CREW SCHEDULING ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
FLEXIBLE MANAGEMENT STRATEGIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
DESCRIPTION OF PROBLEM ,[object Object],SOFTWARE COMPANY SOFTWARE COMPANY CUSTOMER CALL OF CUSTOMER CALL OF CUSTOMER ASSIGN SERVICE ENGINEER
Informations about problem ,[object Object],[object Object],[object Object],[object Object]
17:00 11 16:00 10 16:00 9 16:00 8 15:00 7 15:00 6 14:30 5 14:00 4 14:00 3 13:00 2 13:00 1 Time of Appointment Customer Number
30 4 25 3 18 2 10 1 Costs($) # of Services in one tour
10 11 11 10 10 10 10 9 9 10 8 8 10 7 7 10 6 6 10 5 5 10 4 4 10 3 3 10 2 2 10 1 1 Cost1 Customer Number Tour Number
18 5,11 32(21) 18 4,11 31(20) 18 4,10 30(19) 18 4,9 29(18) 18 4,8 28(17) 18 3,11 27(16) 18 3,10 26(15) 18 3,9 25(14) 18 3,8 24(13) 18 2,11 23(12) 18 2,10 22(11) 18 2,9 21(10) 18 2,8 20(9) 18 2,7 19(8) 18 2,6 18(7) 18 1,11 17(6) 18 1,10 16(5) 18 1,9 15(4) 18 1,8 14(3) 18 1,7 13(2) 18 1,6 12(1) Cost2 Customer Number Tour Number
25 2,7,11 36(4) 25 2,6,11 35(3) 25 1,7,11 34(2) 25 1,6,11 33(1) Cost3 Customer Number Tour Number
After these informations we describe our mathematical model: ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MODEL IN LINGO ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
SOLUTION & ANALYSIS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
0.0000000E+00 0.0000000E+00 12 0.0000000E+00 0.0000000E+00 11 0.0000000E+00 0.0000000E+00 10 0.0000000E+00 0.0000000E+00 9 0.0000000E+00 0.0000000E+00 8 0.0000000E+00 0.0000000E+00 7 0.0000000E+00 0.0000000E+00 6 0.0000000E+00 0.0000000E+00 5 0.0000000E+00 0.0000000E+00 4 0.0000000E+00 0.0000000E+00 3 0.0000000E+00 0.0000000E+00 2 1.000000 99.00000 1 Dual Price Slack or Surplus Row
THANK YOU

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CREW SCHEDULING

  • 1. CREW SCHEDULING İ.HAKAN KARAÇİZMELİ
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. 17:00 11 16:00 10 16:00 9 16:00 8 15:00 7 15:00 6 14:30 5 14:00 4 14:00 3 13:00 2 13:00 1 Time of Appointment Customer Number
  • 9. 30 4 25 3 18 2 10 1 Costs($) # of Services in one tour
  • 10. 10 11 11 10 10 10 10 9 9 10 8 8 10 7 7 10 6 6 10 5 5 10 4 4 10 3 3 10 2 2 10 1 1 Cost1 Customer Number Tour Number
  • 11. 18 5,11 32(21) 18 4,11 31(20) 18 4,10 30(19) 18 4,9 29(18) 18 4,8 28(17) 18 3,11 27(16) 18 3,10 26(15) 18 3,9 25(14) 18 3,8 24(13) 18 2,11 23(12) 18 2,10 22(11) 18 2,9 21(10) 18 2,8 20(9) 18 2,7 19(8) 18 2,6 18(7) 18 1,11 17(6) 18 1,10 16(5) 18 1,9 15(4) 18 1,8 14(3) 18 1,7 13(2) 18 1,6 12(1) Cost2 Customer Number Tour Number
  • 12. 25 2,7,11 36(4) 25 2,6,11 35(3) 25 1,7,11 34(2) 25 1,6,11 33(1) Cost3 Customer Number Tour Number
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24. 0.0000000E+00 0.0000000E+00 12 0.0000000E+00 0.0000000E+00 11 0.0000000E+00 0.0000000E+00 10 0.0000000E+00 0.0000000E+00 9 0.0000000E+00 0.0000000E+00 8 0.0000000E+00 0.0000000E+00 7 0.0000000E+00 0.0000000E+00 6 0.0000000E+00 0.0000000E+00 5 0.0000000E+00 0.0000000E+00 4 0.0000000E+00 0.0000000E+00 3 0.0000000E+00 0.0000000E+00 2 1.000000 99.00000 1 Dual Price Slack or Surplus Row