QT-2 QT -2 Assignme Assi gnment nt JCG Global Air Services Case 1)CE750 Decision ariables! X1: Fuel to be bought at KMLI (in pounds) X2: Fuel to be bought at KBOS (in pounds) X3: Fuel to be bought at KTB (in pounds) X!: Fuel to be bought at K"#L (in pounds) X$: Fuel to be bought at KMLI (in pounds) %1: Bina&' a&iable a&iable dening *hethe& &a+p &a+p ,ee *a-ed o& not at KBOS KBOS %2: Bina&' a&iable a&iable dening *hethe& &a+p &a+p ,ee *a-ed o& not at KTB KTB %3: Bina&' a&iable a&iable dening *hethe& &a+p &a+p ,ee *a-ed o& not at K"#L .he&e/ 1 +eans ,ee *a-ed and 0 +eans ,ee not *a-ed
"b#ective $%nction! Mini+ie total ost o, t&a-el
&in' ( *+,7.1/,+5.2/7,7.+/,01./+,7.5)3,7/*0041/5042/004 +)
Constraints Subet To:
am6 $ee aiver! #t KBOS: $0045674(18%1) 9X2 #t KTB: 30045674(18%2) 9X3 #t K"#L: 3$045674(18%3) 9X!
Ca6acit8 o9 tan:! #t KMLI: 7000;X1913000 #t KBOS: 7000;X18!<00;X2 9 13000 #t KTB: 7000;X18!<00;X282000;X3 913000 #t K"#L: 7000;X18!<00;X282000;X38$300;X!913000 #t KMLI: 7000;X18!<00;X282000;X38$300;X!83100913000
&inim%m arrival 9%el! #t KBOS: 7000 ; X18!<00= 2!00 #t KTB: 7000;X18!<00;X282000= 2!00 #t K"#L: 7000 ;X18!<00;X282000;X38$300= 2!00 #t KMLI: 7000; X18!<00;X282000;X38$300;X!83100=2!00
am6 eig;t! #t KMLI: 22200;7000;X1;24200935!00 #t KBOS: 22200;7000;X18!<00;X2;!4200935!00 #t KTB: 22200;7000;X18!<00;X282<00;X3;<4200935!00 #t K"#L: 22200;7000;X18!<00;X282<00;X38$300;X!;<4200935!00
22200;7000;X18!<00;X282000;X38$300;X!8
>nteger! X1/ X2/ X3/ X!/ X$/%1/ %2/ %3 a&e intege&s6
E?cel Sna6s;ot:
Fuel to be bought ?&ie o, ,uel (@Agallon) a+p Fee .ai-e& Bina&' a&iable "ening KBOS KTB K"#L
X1 KMLI 5000 36>7
X2 KBOS 0 <63$
1 0 0
<00 !$0 !00
Obeti-e Funtion 115!$6 15
Mini+ie
Const&aints elation bet*een X and % D 0 2010 23!$
0 2010 2$>0
13000 <200 <210 $$00 7000
13000 13000 13000 13000 13000
<200 5200 2>10 2!00 Mini+u+ Fuel on a&&i-al at KMLI 8 7000
2!00 2!00 2!00 2!00
Fuel TanE onst&aints D
Mini+u+ Fuel Const&aints D
7000
X3 KTB 2010 76!7
%1 %2 %3
X! K"#L 2$>0 5601
X$ KMLI !500 36>7
Mai+u+ a+p .eight 8 3$500 31200 32010 2>300
35!00 35!00 35!00 35!00
30<00 2>200 25710 25200
31<00 31<00 31<00 31<00
Mai+u+ Landing *eight 8
AnserGene +ini+u+ ,uel ost @ 11'5,1
000 pounds/ 0 pounds/ 2010 pounds/ 250 pounds/ 00 pounds o, ,uel ha-e to be bought at KMLI/ KBOS/ KTB/ K"#L and KMLI6
2) G%l9stream G Decision ariables! X1: Fuel to be bought at KMLI (in pounds) X2: Fuel to be bought at KBOS (in pounds) X3: Fuel to be bought at KTB (in pounds) X!: Fuel to be bought at K"#L (in pounds) X$: Fuel to be bought at KMLI (in pounds) %1: Bina&' a&iable dening *hethe& &a+p ,ee *a-ed o& not at KBOS %2: Bina&' a&iable dening *hethe& &a+p ,ee *a-ed o& not at KTB %3: Bina&' a&iable dening *hethe& &a+p ,ee *a-ed o& not at K"#L .he&e/ 1 +eans ,ee *a-ed and 0 +eans ,ee not *a-ed
"b#ective $%nction!
&in' (*+,7.1/,+5.2/7,7.+/,01./+,7.5)3,7/*0041/5042/ 004+)
S%b#ect To! Constraints
am6 $ee aiver! #t KBOS: $0045674(18%1) 9X2 #t KTB: 30045674(18%2) 9X3 #t K"#L: 3$045674(18%3) 9X!
Ca6acit8 o9 tan:! #t KMLI: 7000;X19!1300 #t KBOS: 7000;X185>5<;X2 9 !1300 #t KTB: 7000;X185>5<;X282>03;X3 9!1300 #t K"#L: 7000;X185>5<;X282>03;X3875>!;X!9!1300 #t KMLI: 7000;X185>5<;X282>03;X3875>!;X!8!$009!1300
&inim%m arrival 9%el! #t KBOS: !<<00 ; X18!<00= 2!00 #t KTB: !<<00;X185>5<;X282>03= 2!00 #t K"#L: !<<00 ;X185>5<;X282>03;X3875>!= 2!00 #t KMLI: !<<00; X185>5<;X282>03;X3875>!;X!8!$00=2!00
am6 eig;t! #t KMLI: !<<00;7000;X1;242009>0>00 #t KBOS: !<<00;7000;X185>5<;X2;!42009>0>00 #t KTB: !<<00;7000;X185>5<;X282>03;X3;<42009>0>00
#t K"#L: !<<00;7000;X185>5<;X282>03;X3875>!;X!;<42009>0>00
22200;7000;X18!<00;X282000;X38$300;X!8
>nteger an= on-negativit8! X1/ X2/ X3/ X!/ X$/ %1/ %2/ %3 a&e non8negati-e and intege&s6
E?cel Sna6s;ot!
Fuel to be bought ?&ie o, ,uel (@Agallon) a+p Fee .ai-e& Bina&' a&iable "ening KBOS KTB K"#L
Obeti-e Funtion Mini+ie
Const&aints elation bet*een X and % D
Fuel TanE onst&aints D
Mini+u+ Fuel Const&aints D
Mini+u+ Fuel on a&&i-al at KMLI 8 Mai+u+ a+p .eight 8
Mai+u+ Landing *eight 8
Ans erGen e +ini +u+
,uel ost @ 1 0
2+00 poun ds' ++50 poun ds' +50 poun ds' 7+00 poun ds' 0 poun ds o, ,uel ha-e to be boug ht at KMLI/ KBOS/ KTB/ K"#L and KMLI6