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VEHICLE ROUTING PROBLEM WITH MULTIPLE TIME
WINDOWS UNTUK MENGOPTIMALKAN RUTE DISTRIBUSI
ICE CREAM
(PT.Lukindari Permata Malang)
Skripsi
Diajukan Kepada Universitas Muhammadiyah Malang
Untuk Memenuhi Salah Satu Persyaratan Akademik
Dalam Menyelesaikan Progam Sarjana Teknik
Disusun Oleh :
AMELIA KHOIDIR
201410140311126
JURUSAN TEKNIK INDUSTRI
FAKULTAS TEKNIK
UNIVERSITAS MUHAMMADIYAH MALANG
2018
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KATA PENGANTAR
Assalamu’alaikum Wr.Wb
Alhamdulillahirobbil ‘Alamin, puji syukur kehadirat Allah SWT yang telah melimpahkan
rahmat, taufiq dan hidayah-Nya. Sholawat serta salam selalu tercurah kepada Rosulullah
Muhammad SAW, sehingga penyusun dapat menyelesaikan tugas akhir dengan judul “Vehicle
Routing Problem with Multiple Time Windows untuk Mengoptimalkan Rute Distribusi Ice
Cream.” Sebagai syarat untuk memperoleh gelar kesarjanaan Strata 1 Jurusan Teknik Industri
Fakultas Teknik Universitas Muhammadiyah Malang.
Dalam penyusunan laporan tugas akhir ini, tentunya tidak lepas dari bantuan dan
dukungan dari berbagai pihak. Untuk itu pada kesempatan ini penulis ingin mengucapkan rasa
terima kasih kepada :
1. Allah SWT, karena telah memberikan kesehatan, pengetahuan dan ilmu, serta kekuatan
mental dalam mengerjakan skripsi. Allahu Akbar dengan segala rencananya.
2. Keluarga tercinta, Bapak Mat Khoidir, Ibu Ngatin, Adik Syntiya Inanda Khoidir, dan
seluruh keluarga yang selalu memberikan doa tiada henti-hentinya demi kelancaran
menyelesaikan skripsi ini. Memberi keyakinan sepenuhnya, perhatian, dukungan, nasehat
dan kasih sayang kepada penulis.
3. Bapak Ilyas Mas’udin ST.,M.Log.,Scm.,Ph.D selaku Ketua Jurusan Teknik Industri
Universitas Muhammadiyah Malang sekaligus dosen pembimbing I. Terimakasih sudah
berbagi ilmu dengan penulis. Mohon maaf jika penulis selama ini masih banyak salah dalam
segala hal.
4. Ibu Annisa Kesy Garside ST., MT., selaku dosen pembimbing II yang bersedia meluangkan
waktu untuk memberikan bimbingan dan arahan dalam penyusunan Skripsi ini. Terimakasih
atas ilmu, arahan, dan motivasi yang diberikan kepada penulis. Semoga dengan ilmu yang
penulis dapatkan dari Ibu, dapat menjadi barokah. Aamiin
5. Bapak Ir. M. Lukman,MT., selaku dosen wali penulis. Terimakasih atas arahan dan
bimbingannya pak.
ii
6. Segenap Dosen Jurusan Teknik Industri Universitas Muhammadiyah Malang atas segala
bimbingan dan arahannya
7. Pak Irvan, Mas Randi, Mas Fery dan seluruh Manajemen PT. Lukindary Permata Malang
yang telah memberikan kesempatan kepada penulis untuk melakukan penelitian skripsi.
Terima kasih atas waktu dan pengarahannya.
8. Slim Belhaiza.P.hD, Professor of King Fahd University of Petroleum and Minerals. Thank
you for everything that you have done to help me. I will always remember your kindness and
support. Thankyou very much Sir..
9. Partner Laboratorium Teknik Industri, Ibu Annisa Kesy Garside ST, MT. Bapak Dana
Marsetiya U.,ST, MT. Ibu Shanty Kusuma Dewi ST,MT. Mas Taufik Prihandoko, Rio
Saputra, dan Bayu Candra Kusuma. Terimakasih sudah menjadi partner kerja, maaf jika
penulis masih banyak kekurangan.
10. Untuk my Sin’yu, Desi Wulandari yang sekarang sudah ST. Kita kenal mulai waktu daftar
ulang dan berteman sampe sekarang. Terimakasih sudah jadi teman belajarku, teman
mengrobol, motivasiku, penasehatku, dan tempatku menangis setiap ada masalah. Fatma
yang hiperaktiv, Vivin yang alay, Semoga kita akan selalu jadi sahabat as long as forever till
jannah amiinn. InshaAllah... proud to be your friend.
11. Teman kosan ku, Diva T, Rosita DL dan Riska NS. Kalian teman yang bikin aku like a crazy
girl. Sita paling demen nganterin aku belanja atau sekedar jalan-jalan Wkwk..Nah kalo riska
nih... selalu mengajarkanku arti dari sebuah kelemah lembutan gitu wkwkwk. Diva, semoga
kamu selalu dalam lindungan Allah dimanapun kamu berada. I will miss you guys...
12. Saudara sekaligus sahabat-sahabat tercinta Teknik Industri Universitas Muhammadiyah
Malang, khusunya Teknik Industri 2014 C, Fahmi, Rizal, Arafat, Inas, Tika, Jul, Risma dan
yang lain. Terimakasih telah memberikan segalanya. See you on top rek....
13. Teman seperjuangan Gofur, Risma, Ifa, Nabila, Mas Billy, Farid, Wicak, Leo, Esti dan
teman-teman seperjuangan skripsi.
14. Sahabat Asisten Laboratorium Teknik Industri; Arif, Yuda, Dian, Cintya cerewet, Fani,
Ni’amul, Cahya, Fajar, Eka, Ido, dan teman aslab yang lain. Terimakasih sudah
berkontribusi dalam memajukan lab.TI, semoga ilmunya bermanfaat. Dan teristimewa untuk
asisten PTLP; Amallia, Esti, Gusti, Khamid, Dedi, dan Bayu. Kalian sangat luar biasa kalau
iii
masalah menyatukan logika dan teori, Apalagi kalo menyatukan perasaan, bisa banget.
Wkwkwk.....
15. Febrian Roby Wijaya yang sekarang sudah ST. Sahabat yang selalu kujadikan motivasi dan
inspirasiku selama kuliah hingga saat ini.
16. To my bestfriends from other contries : Rania from Egypt, Jaenab from Iran, Akira from
Malaysia, Gerson from Peru, Tugce from Turkey, and Noo from Rusia. Thanks a lot
guys...because you are my motivator when i was sad and down. Also big thanks for your
teached english and Arabic to me. Sorry if my english and Arabic so bad. Hihihi...... stay
healthy, stay awesome, and stay humble!!. And for you, A.Alakhras from Al-Azhar
University. Thanks for being my most incredible boy. See you next year....
17. Sahil Sheikh, Thanks for the time we had together. You were the only person who was able
to keep me calm going into the last year of college.
18. Semua pihak yang tidak dapat penulis sebutkan satu persatu yang telah membantu dalam
penyelesaian Skripsi ini, Semoga amal kebaikannya mendapat ridho dari Allah SWT.
Aamiin.
Penulis menyadari bahwa dalam penyusunan Skripsi ini masih jauh dari kesempurnaan.
Untuk itu dengan segala kerendahan hati penulis menerima segala saran dan kritik yang bersifat
membangun.
Harapan penulis, semoga Skripsi ini dapat bermanfaat terutama bagi penulis sendiri
khususnya, serta memberika hikmah dan ide bagi pembacanya.
Wassalamu’alaikum Wr.Wb.
Malang, 12 November 2018
Penulis
DAFTAR ISI
HALAMAN JUDUL ..................................................................................................................
LEMBAR PENGESAHAN SKRIPSI ........................................................................................
LEMBAR ASISTENSI SKRIPSI ...............................................................................................
BERITA ACARA UJIAN ...........................................................................................................
SURAT PERNYATAAN KEASLIAN ......................................................................................
SURAT KETERANGAN PENGAMBILAN DATA PERUSAHAAN .....................................
KATA PENGANTAR .............................................................................................................. i
ABSTRAK .............................................................................................................................. iv
ABSTRACT ................................................................................................................................ v
DAFTAR ISI ........................................................................................................................... vi
DAFTAR TABEL ................................................................................................................... iv
DAFTAR GAMBAR ............................................................................................................ viii
BAB I PENDAHULUAN. ...................................................................................................... ix
1.1 Latar Belakang ............................................................................................................ 1
1.2 Rumusan Masalah ....................................................................................................... 3
1.3 Tujuan Penelitian ........................................................................................................ 3
1.4 Manfaat Penelitian....................................................................................................... 3
1.5 Batasan Masalah .......................................................................................................... 4
1.6 Asumsi......................................................................................................................... 4
BAB II LANDASAN TEORI .....................................................................................................
2.1 Perishable Product ...................................................................................................... 5
2.2 Energi .......................................................................................................................... 7
2.3 Sistem Transportasi ..................................................................................................... 9
2.4 Vehicle Routing Problem ............................................................................................ 3
2.4.1 Macam – macam Vehicle Routing Problem ................................................. 12
2.4.2 Vehicle Routing Problem with Multi Time Windows ................................... 15
2.5 Mixed Integer Linear Progamming ........................................................................... 16
2.6 Model Matematis VRPMTW ................................................................................... 17
2.7 Studi Literatur .......................................................................................................... 21
BAB III METODOLOGI PENELITIAN. ..................................................................................
3.1 Lokasi dan Waktu Penelitian ..................................................................................... 26
3.2 Studi Lapangan .......................................................................................................... 26
3.3 Studi Literatur ........................................................................................................... 26
3.4 Perumusan Masalah................................................................................................... 27
3.5 Penetapan Tujuan ...................................................................................................... 27
3.6 Pengumpulan Data .................................................................................................... 27
3.6.1 Data Primer .................................................................................................. 27
3.6.2 Data Sekunder .............................................................................................. 27
3.7 Pengolahan Data ........................................................................................................ 26
3.8 Kesimpulan dan Saran. .............................................................................................. 31
3.9 Diagram Alir ............................................................................................................. 32
vii
BAB IV PENGUMPULAN DAN PENGOLAHAN DATA. .....................................................
4.1 Latar Belakang .......................................................................................................... 33
4.2 Pengumpulan Data .................................................................................................... 34
4.2.1 Suhu Kecamatan Klojen dan Parameter Konsumsi Energi .......................... 34
4.2.2 Data Alamat Outlte dan Waktu .................................................................... 35
4.2.3 Data Berat dan Ukuran produk .................................................................... 45
4.2.4 Data Alamat Outlte dan Waktu .................................................................... 45
4.2.5 Data Matrik Jarak dan Matrik Waktu Tempuh ............................................ 49
4.2.6 Data Kendaraan ............................................................................................ 50
4.2.7 Data Rute Awal ............................................................................................ 51
4.3 Pengolahan Data ........................................................................................................ 53
4.3.1 Perhitungan Biaya Transportasi pada Rute Awal ........................................ 53
4.3.2 Perhitungan Energi pada Kondisi Awal ....................................................... 57
4.3.3 Modifikasi Model ......................................................................................... 60
4.3.4 Penerjemahan Model Matematis ke Bahasa Lingo ...................................... 62
4.3.5 Pencarian Solusi Feasible (Layak) .............................................................. 66
4.3.6 Perhitungan Biaya Transportasi pada Rute Usulan ...................................... 70
4.3.5 Perhitungan Energi pada Kondisi Usulan .................................................... 72
4.3.6 Perhitungan Biaya Transportasi dan Energi ................................................. 75
BAB V ANALISA PEMBAHASAN. ........................................................................................
5.1 Analisa Rute Distribusi ............................................................................................. 76
5.1.1 Rute Awal Perusahaan ................................................................................. 76
5.1.2 Rute Usulan dengan Metode Mixed Integer Progamming ........................... 75
5.2 Analisa Multiple Time Windows ............................................................................... 82
5.3 Analisa Perbandingan Total Jarak dan Biaya Transportasi ....................................... 86
5.4 Analisa Energi ........................................................................................................... 88
5.5 Implikasi dari Strategi Multiple Time Windows ........................................................ 90
BAB VI PENUTUP ....................................................................................................................
6.1 Kesimpulan ............................................................................................................... 93
6.2 Saran .......................................................................................................................... 94
LAMPIRAN A. ...........................................................................................................................
LAMPIRAN B. ...........................................................................................................................
LAMPIRAN C. ...........................................................................................................................
LAMPIRAN D. ...........................................................................................................................
LAMPIRAN E. ...........................................................................................................................
viii
DAFTAR TABEL
Tabel 2.1 Definisi Variabel ..................................................................................................... 18
Tabel 2.2 Definisi Parameter .................................................................................................. 18
Tabel 2.3 Rangkuman Penelitian Terdahulu ........................................................................... 22
Tabel 2.4 Rangkuman Pembahasan ........................................................................................ 24
Tabel 4.1 Suhu Kecamatan Klojen dan Blimbing ................................................................... 34
Tabel 4.2 Parameter Konsumsi Energi ................................................................................... 35
Tabel 4.3 Data Nama Outlet ................................................................................................... 35
Tabel 4.4 Lanjutan Data Nama Outlet .................................................................................... 36
Tabel 4.5 Lanjutan Data Nama Outlet .................................................................................... 37
Tabel 4.6 Lanjutan Data Nama Outlet .................................................................................... 38
Tabel 4.7 Lanjutan Data Nama Outlet .................................................................................... 39
Tabel 4.8 Lanjutan Data Nama Outlet .................................................................................... 40
Tabel 4.9 Lanjutan Data Nama Outlet .................................................................................... 41
Tabel 4.10 Data Waktu Loading ............................................................................................. 42
Tabel 4.11 Rating Factor ........................................................................................................ 43
Tabel 4.12 Allowance .............................................................................................................. 44
Tabel 4.13 Outlet Tutup Jam Istirahat .................................................................................... 45
Tabel 4.14 Keterangan Produk ............................................................................................... 46
Tabel 4.15 Data Permintaan dan Total Berat Produk ............................................................. 46
Tabel 4.16 Lanjutan Data Permintaan dan Total Berat Produk .............................................. 47
Tabel 4.17 Lanjutan Data Permintaan dan Total Berat Produk .............................................. 48
Tabel 4.18 Data Kendaraan ..................................................................................................... 50
Tabel 4.19 Rute Awal Perusahaan .......................................................................................... 51
Tabel 4.20 Perhitungan Jarak pada Rute Awal ....................................................................... 53
Tabel 4.21 Lanjutan Perhitungan Jarak pada Rute Awal ........................................................ 54
Tabel 4.22 Lanjutan Perhitungan Jarak pada Rute Awal ........................................................ 55
Tabel 4.23 Lanjutan Perhitungan Jarak pada Rute Awal ........................................................ 53
Tabel 4.24 Biaya Transportasi Kendaraan .............................................................................. 56
Tabel 4.25 Biaya Transportasi Rute Usulan ........................................................................... 56
Tabel 4.26 Perhitungan Jarak pada Rute Usulan .................................................................... 73
Tabel 4.27 Perbandingan Biaya Transportasi dan Energi ....................................................... 75
Tabel 5.1 Hasil Rute Berdasarkan Time Windows .................................................................. 83
Tabel 5.2 Waktu Keberangkatan dan Kedatangan .................................................................. 84
Tabel 5.3 Lanjutan Waktu Keberangkatan dan Kedatangan ................................................... 85
Tabel 5.4 Perbandingan Total Jarak dan Biaya Transportasi .................................................. 87
Tabel 5.5 Perbandingan Energi ............................................................................................... 88
ix
DAFTAR GAMBAR
Gambar 2.1 Ilustrasi Penurunan Kualitas ................................................................................. 6
Gambar 2.2 Konsep Freez Power ............................................................................................. 7
Gambar 2.3 Variasi Vehicle Routing Problem ........................................................................ 13
Gambar 3.1 Diagram Alir Penelitian ...................................................................................... 32
Gambar 3.3 Lanjutan Diagram Alir ........................................................................................ 33
Gambar 4.1 Uji Keseragaman Waktu Loading ....................................................................... 42
Gambar 4.2 Solver Status Hari Selasa .................................................................................... 66
Gambar 4.3 Solver Status Hari Rabu ...................................................................................... 68
Gambar 5.1 Rute Hari Selasa Kendaraan 1 ............................................................................. 77
Gambar 5.2 Rute Hari Selasa Kendaraan 2 ............................................................................. 78
Gambar 5.3 Rute Hari Rabu Kendaraan 1 .............................................................................. 79
Gambar 5.4 Rute Hari Rabu Kendaraan 2 .............................................................................. 80
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