Penyusunan Formulasi PENGUMPULAN DAN PENGOLAHAN DATA

A = Kecepatan produksi n = Jenis produk 1, 2, 3, 4 Picnic Shrimp, Cocktail Shrimp, Small Shrimp, dan Medium Shrimp i = Bulan ke 1,2,…12 Mei 2010 – April 2011 d - = deviasi negatif d + = deviasi positif P k = Prioritas ke k k=1,2,3 dan 4 Z k = Fungsi sasaran ke k k=1,2,3 dan 4 Fungsi persamaannya adalah: ∑ = 4 1 n Xn An ≤ bi Formula fungsi untuk pemakaian jam kerja adalah: AX 1 + AX 2 + AX 3 + AX 4 ≤ bi Dalam hal ini diharapkan deviasi positif kelebihan jam kerja diusahakan nol. Oleh karena itu model goal programming untuk perencanaan untuk bulan Mei 2010 adalah: 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 240 Maka fungsi sasarannya adalah Minimumkan Z 4 = P 4 d 7 +

5.4. Penyusunan Formulasi

Adapun fungsi sasaran untuk tiap bulannya adalah Z = Z 1 + Z 2 + Z 3 + Z 4. Secara keseluruhan formulasi Goal Programing selama periode perencanaan yaitu:

1. Mei 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + Universitas Sumatera Utara ST: X 1 + d 1 - – d 1 + =132465 X 2 + d 2 - – d 2 + =30558 X 3 + d 3 - – d 3 + =15073 X 4 + d 4 - – d 4 + =6338 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 310565250 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 240 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

2. Juni 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 133684 X 2 + d 2 - – d 2 + = 30823 X 3 + d 3 - – d 3 + = 15128 X 4 + d 4 - – d 4 + = 6442 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + =313328900 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 260 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

3. Juli 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: Universitas Sumatera Utara X 1 + d 1 - – d 1 + = 134903 X 2 + d 2 - – d 2 + = 31088 X 3 + d 3 - – d 3 + = 15163 X 4 + d 4 - – d 4 + = 6546 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 316055550 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0 4. Agustus 2010 Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 136122 X 2 + d 2 - – d 2 + = 31353 X 3 + d 3 - – d 3 + = 15177 X 4 + d 4 - – d 4 + = 6650 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 318743350 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

5. September 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 137341 Universitas Sumatera Utara X 2 + d 2 - – d 2 + = 31619 X 3 + d 3 - – d 3 + = 15170 X 4 + d 4 - – d 4 + = 6753 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 321392200 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 240 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

6. Oktober 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 138560 X 2 + d 2 - – d 2 + = 31884 X 3 + d 3 - – d 3 + = 15143 X 4 + d 4 - – d 4 + = 6857 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 324004150 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

7. November 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 139779 X 2 + d 2 - – d 2 + = 32149 Universitas Sumatera Utara X 3 + d 3 - – d 3 + = 15095 X 4 + d 4 - – d 4 + = 6961 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 326577250 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

8. Desember 2010

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 140998 X 2 + d 2 - – d 2 + = 32414 X 3 + d 3 - – d 3 + = 15026 X 4 + d 4 - – d 4 + = 7065 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 329111500 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

9. Januari 2011

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 142217 X 2 + d 2 - – d 2 + = 32679 X 3 + d 3 - – d 3 + = 14936 Universitas Sumatera Utara X 4 + d 4 - – d 4 + = 7169 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 331606900 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

10. Februari 2011

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 143436 X 2 + d 2 - – d 2 + = 32945 X 3 + d 3 - – d 3 + = 14826 X 4 + d 4 - – d 4 + = 7272 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 334065200 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 240 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

11. Maret 2011

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 144655 X 2 + d 2 - – d 2 + = 33210 X 3 + d 3 - – d 3 + = 14695 X 4 + d 4 - – d 4 + = 7376 Universitas Sumatera Utara 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 336484750 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 260 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

12. April 2011

Minimumkan Z = P 1 d 1 - +d 2 - +d 3 - +d 4 - + P 2 d 5 - + P 3 d 6 + + P 4 d 7 + ST: X 1 + d 1 - – d 1 + = 145874 X 2 + d 2 - – d 2 + = 33475 X 3 + d 3 - – d 3 + = 14543 X 4 + d 4 - – d 4 + = 7480 1600X 1 + 1900X 2 + 1850X 3 + 2000X 4 + d 5 - – d 5 + = 338865450 0,13670X 1 + 0,13672X 2 + 0,13674X 3 + 0,13561X 4 + d 6 - – d 6 + = 30000 0,001178 X 1 + 0,001178 X 2 + 0,001178 X 3 + 0,001178 X 4 + d 7 - – d 7 + = 250 X 1 , X 2 , X 3 , X 4 ,d 1 - , d 1 + ,d 2 - , d 2 + ,d 3 - , d 3 + ,d 4 - , d 4 + ,d 5 - , d 5 + ,d 6 - , d 6 + ,d 7 - , d 7 + ≥ 0

5.5. Penyelesaian Formulasi Goal Programming