🗊Презентация Winston p. 313

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Winston p. 313, слайд №1Winston p. 313, слайд №2Winston p. 313, слайд №3Winston p. 313, слайд №4Winston p. 313, слайд №5Winston p. 313, слайд №6Winston p. 313, слайд №7Winston p. 313, слайд №8Winston p. 313, слайд №9Winston p. 313, слайд №10Winston p. 313, слайд №11

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Слайд 1





Winston p. 313, # 2
Write the dual of this LP. Use y1, y2, and y3 for the dual variables of the constraints.
Описание слайда:
Winston p. 313, # 2 Write the dual of this LP. Use y1, y2, and y3 for the dual variables of the constraints.

Слайд 2





Winston p. 313, # 2
Dual:
min 3y1 + 2y2 + y3
subject to
y1 + y3 ≥ -2
y1+y2 ≥ -1
y1 + y2 + y3 ≥ 1
y1 ≥ 0 , y2 ≤ 0, y3 unrestricted
Описание слайда:
Winston p. 313, # 2 Dual: min 3y1 + 2y2 + y3 subject to y1 + y3 ≥ -2 y1+y2 ≥ -1 y1 + y2 + y3 ≥ 1 y1 ≥ 0 , y2 ≤ 0, y3 unrestricted

Слайд 3





Winston p. 815, #11
Find the floor and ceiling of the value of this game. Does it have a saddle point? If so, what's the value of the game?
Описание слайда:
Winston p. 815, #11 Find the floor and ceiling of the value of this game. Does it have a saddle point? If so, what's the value of the game?

Слайд 4





Winston p. 815, #11
Описание слайда:
Winston p. 815, #11

Слайд 5





Schrage #4
The next 5 slides show the crop recourse homework problem I assigned, plus the MPL code
Modify the code to compute the worst-case probabilities of a wet or dry season
Hint: you only have to add one variable, modify the objective function, and add one set of constraints; the other constraints in the model stay the same
What are the worst-case probabilities? How does the overall expected cost change?
Описание слайда:
Schrage #4 The next 5 slides show the crop recourse homework problem I assigned, plus the MPL code Modify the code to compute the worst-case probabilities of a wet or dry season Hint: you only have to add one variable, modify the objective function, and add one set of constraints; the other constraints in the model stay the same What are the worst-case probabilities? How does the overall expected cost change?

Слайд 6





Schrage #4 (Formulate Only)
Описание слайда:
Schrage #4 (Formulate Only)

Слайд 7





Schrage Handout, #4
Indices
s = season {wet,dry}
c = crops {corn, sorg, bean}
Data
YIELDcs = yield/acre (bushels) of crop c in season s
PROBs = probablility of season s
SPRICEs = sale price ($) per bushel of crop c
PCOST = production cost/acre ($) for crops
LCROPc = bushels of crop c required per “unit” of livestock
LPROFIT = profit/unit ($) of livestock
MCOSTc = cost/bushel ($) of crop c on open market
ACRES = total acreage available for planting
MAXCROPc = maximum bushels of crop c that can be bought on the open market
Variables
live = units of livestock to raise
pcropc = acres of crop c to plant
bcropcs = bushels of crop c bought under scenario s
csoldcs = bushels of crop c sold in scenario s
Описание слайда:
Schrage Handout, #4 Indices s = season {wet,dry} c = crops {corn, sorg, bean} Data YIELDcs = yield/acre (bushels) of crop c in season s PROBs = probablility of season s SPRICEs = sale price ($) per bushel of crop c PCOST = production cost/acre ($) for crops LCROPc = bushels of crop c required per “unit” of livestock LPROFIT = profit/unit ($) of livestock MCOSTc = cost/bushel ($) of crop c on open market ACRES = total acreage available for planting MAXCROPc = maximum bushels of crop c that can be bought on the open market Variables live = units of livestock to raise pcropc = acres of crop c to plant bcropcs = bushels of crop c bought under scenario s csoldcs = bushels of crop c sold in scenario s

Слайд 8





Schrage Handout, #4 (cont’d)
Описание слайда:
Schrage Handout, #4 (cont’d)

Слайд 9





Schrage #4 (Sample MPL Code)
Описание слайда:
Schrage #4 (Sample MPL Code)

Слайд 10





Schrage #4 (Sample MPL code)
Описание слайда:
Schrage #4 (Sample MPL code)

Слайд 11





Schrage #4 (solution)
Описание слайда:
Schrage #4 (solution)



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