????6.2 - PowerPoint PPT Presentation

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????6.2

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Title: Table of Contents Chapter 6 (Network Optimization Problems) Last modified by: ariel_hsu Document presentation format: Company – PowerPoint PPT presentation

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Title: ????6.2


1
? 6 ????????
  • ???? 6.2
  • ????????(6.1?) 6.36.13
  • ????BMZ????????(6.2?) 6.146.17
  • ??????(6.3?) 6.186.22
  • ?????? ???????(6.4?) 6.236.26
  • ?????? ????(6.4?) 6.276.28
  • ?????? ?????????(6.4?) 6.296.32
  • ?????? ??????????? (6.4?) 6.336.37
  • ????
  • ?????(?????????) 6.386.52

2
????
  • ??????,?????
  • 1. ????????????????????
  • 2. ?????????????????,????????????
  • 3. ?????????????
  • 4. ??????????????--?????????
  • 5. ???????,????????????????????,???????????????

3
????????
  • ??????????????????,?????????
  • ?? 1 ?? 80 ??
  • ?? 2 ?? 70 ??
  • ?? 1 ?? 60 ??
  • ?? 2 ?? 90 ??
  • ?????????(F1 ? F2 ??????,Wl ?W2 ??????,DC
    ?????,?????????),???? 1 ??? 1 ??? 2 ??? 2
    ??????????(?????????)?
  • ?????????????? 50 ???????,???????? 50
    ?????(???????????????????)?
  • ???????????????????,??????(???????????????)?

4
????
5
?????????
6
????
7
???
8
?????????????
  • ??????????????????????????????
  • ??????????(nodes)?
  • ???(??????)??????????????(supply node)?(???6.3 ?
    F1 ? F2 ?????)?
  • ?????????????????(demand node)?(?? W1 ? W2
    ?????????)?
  • ???????????????(transshipment node)?(?? DC
    ???????)??????????????????????(conservation of
    flow)?
  • ?????????(arcs)?
  • ????????????????(capacity)?

9
???????????
  • ?? 1 ?????????
  • ?? 1 ?????????
  • ??????????
  • ?????????????????,????????????(???????,???????????
    ??)?
  • ?????????????,????????????????????
  • ???????????,????????????????????
  • ???????,????????????????????(????????????????)?

10
???????????
  • ?????????????,????????????????????????????,??????
    ??????????
  • ??????????????????????,??????????????,???????????
    ?????

11
?????
12
SUMIF ??
  • ???? SUMIF ?????????????
  • SUMIF(?? A, x, ?? B)
  • ???????? A ???,?????? x, SUMIF ??????? B ??????
  • ??? x ?????(??? ???)??
  • SUMIF(From labels, x, Flow)
  • SUMIF(To labels, x, Flow)

13
???????????????
14
BMZ ????????
  • BMZ ?????????????????,???????????????????,????????
    ????????????
  • ?? BMZ ????????????,???????????????????????
  • ?????????????????????????,???????????????????BMZ
    ???????????????,??????????????????????????
  • ??????????????????????????
  • ?????????????????,??????????????????????

15
BMZ ????
16
BMZ ???????
17
BMZ ????????
18
?????????
  • ?????????????????,????(source),?????????,?????(sin
    k)(BMZ ?????????????????????)?
  • ????????????(?BMZ ?????RO?BO?LI?NY?NO)?
  • ????????????????,??????????????????????????????
  • ??????????????????????????????????????,??????????
    (? 6.8 ???? D14 ? I14 ?????????)?

19
??????????? BMZ ????
  • ?????(???????????)?????????,???????
  • ?????????????,????????????,?????????????
  • ????????????????????????????????,???????????

20
??? BMZ ?????????
21
?????
22
???????????
  • ????????????,?BMZ ?????
  • ???????????????????
  • ??????????????
  • ??????????????
  • ??????????????

23
???????
  • ??????????????
  • ??,?????????????,?????????
  • ??????????,?????????????????????
  • ???????????????????????

24
???????
25
??????
26
?????
27
?????????
  • ??????????,?????????(origin )???,???????(destinati
    on)????
  • ???????????????(?????),????????(?????????)?
  • ?????(??)??????????????(length of a link or arc)?
  • ?????????????????(?????)?

28
?????????
  • ??????????,????????
  • ???????,?????????
  • ???????,??????????,????????

29
?????????????
  • ???????? ?
  • ??????? 21,000 ?????????????,??????????????,??????
    ??
  • ??????,???????????,???????????,????????,??????????
    ???????????,???????????????? (???????????????,????
    ???????????)
  • ??????????,???????????,??????????????????????

30
???????
31
???????????????
32
?????
33
??????????
  • ???????????????????????????????
  • ????????????????,???? 20 ??????????????
  • ??????????????????????,????????
  • ????????????,????????????????,????????????????????
    ???
  • ???????? 3,000 ??????????
  • ??? 3,000 ?????????,??????????????????????,??????
    ??????

34
?????????????
35
???????????????
36
?????
37
???
38
???????
  • ?????????????????????
  • ??
  • ????
  • ????
  • ??????
  • ??????? ??? ??
  • ????

39
??????????????
  • ??(Nodes)
  • ???????????????????(state)
  • ????(????)
  • ????(????)
  • ????(??????)
  • ?(Arcs)
  • ?????????(???????)?????????????
  • ????(??)
  • ?????,??????
  • ??(????????)
  • ???????

40
????????
  • ?????????????,??????????????????????,??????????
  • ??????????????????????,??????????????,???????????
    ?????
  • ?????(Network Simplex Method)?????????
  • ?????
  • ???????????(?????????)
  • Excel ???????,??,???????????????????????
  • ???
  • ???
  • ????
  • ??????????

41
?????
  • ???????????(multi-echelon distribution
    problem)?????????????????,????????????????????????
    ????,?????????,???????????????

???????????????????
42
?????
43
SUMIF ??
  • ???? SUMIF ?????????????
  • SUMIF(?? A, x, ?? B)
  • ???????? A ???,?????? x, SUMIF ??????? B ??????
  • ??? x ?????(??? ???)??
  • SUMIF(From labels, x, Flow)
  • SUMIF(To labels, x, Flow)

44
?? SUMIF ??????
45
?????????????
  • ???????????????????
  • ????, ?????? si
  • ????, ???? di
  • ????
  • ????? i ??? j ???
  • ?????? cij
  • ????? kij
  • ??????
  • ? xij ? i ? j ?????? ?? ? ij cij
    xij??? ???? ?all j flowing out of i xij ?all
    j flowing into i xji (si, di, or 0) ???? xij
    kij? xij 0

46
??????
  • ???????????????,??????????????????????(??????)?

??? A ? G ???????????
47
?????
48
??????
  • ?????????????????????

??????(Seattle)???(Denver)??????????
49
?????
50
??????
  • ????????????????????????,???????????,?????????????
    ?????????????,??????????? 10,000?????????????????
    ,??????????? 0?

?????? ???? ?????
??? 3,000 2,000
??? 4,000 4,000
??? 6,000 7,000
??? 10,000 11,000
??? 20,000 24,000
?????????,??????????
51
????
52
????????????
  • ?????(Phillips Petroleum)?? 1,500 ???? 3,800 ????
  • ???????????????(20 ??????)??????????????
  • ????????,??????(??)??????
  • ????????
  • ???????(????????)
  • ???????
  • ?????????
  • ?????????
  • ????(?????????)
  • ??,????????????,??????????,????????????(???)??????
  • ????????? Waddell (1983) Jul-Aug Interfaces
    article, A Model for Equipment Replacement
    Decisions and Policies.
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