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gösterilebilir."]},"beginTime":537,"endTime":594,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=537&ask_summarization=1"},{"index":4,"title":"Ulaştırma Problemlerinin Gösterimi","list":{"type":"unordered","items":["Ulaştırma problemleri yaygın olarak network (ağ) tipinde gösterilir ve bir dağıtım problemidir.","Ulaştırma ağında fabrikalar veya üretim yerleri (F1, F2, ..., Fn) kaynak olarak, mağazalar veya hedefler (M1, M2, ..., Mm) ise tüketim yerleridir.","Fabrikalardaki üretim miktarları S ile, mağazaların talepleri D ile sembolize edilir."]},"beginTime":594,"endTime":766,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=594&ask_summarization=1"},{"index":5,"title":"Ulaştırma Problemlerindeki Temel Tanımlar","list":{"type":"unordered","items":["Network üzerindeki düğümler (notlar), fabrikalar, üretim yerleri ve mağazaları temsil eder.","Fabrikalarla mağazalar arasındaki irtibatı gösteren çizgiler veya akışı gösteren oklar (arclar) ağ üzerinde belirtilir.","Bir ok bir güzergahı belirtir ve bir düğümden diğer düğüme gidecek sevkiyatı gösterir."]},"beginTime":766,"endTime":876,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=766&ask_summarization=1"},{"index":6,"title":"Dengeli ve Dengeli Olmayan Ulaştırma Problemleri","list":{"type":"unordered","items":["Dengeli ulaştırma problemlerinde toplam arz toplam talebe eşittir.","Dengeli olmayan problemde arz talebe eşit olmayabilir; arz talepten fazla olduğunda yapay bir mağaza, talep arzdan fazla olduğunda yapay bir fabrika eklenir.","Dengeli ulaştırma problemi daha temel ve kolaydır, bu problem çözüldüğünde dengeli olmayan problemler de çözülebilir."]},"beginTime":876,"endTime":999,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=876&ask_summarization=1"},{"index":7,"title":"Matematiksel Gösterim","list":{"type":"unordered","items":["Ulaştırma problemlerinde X değişkeni, bir fabrikadan bir mağazaya yapılan taşıma miktarını gösterir.","C değişkeni, bir fabrika ile bir mağaza arasındaki maliyet veya mesafeyi temsil eder.","Arz miktarları S ile gösterilir ve birinci fabrikanın üretim kapasitesi S1 olarak belirtilir."]},"beginTime":999,"endTime":1157,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=999&ask_summarization=1"},{"index":8,"title":"Ulaştırma Probleminin Matematiksel Modeli","list":{"type":"unordered","items":["Fabrikaların toplam gönderdiği miktar, fabrikadan mağazalara giden malzemelerin toplamı olarak hesaplanır ve bu toplam üretim kapasitesi olarak adlandırılır.","Talep kısıtı için, her mağazaya gelen toplam miktar o mağazanın talebine eşit olmalıdır.","Fabrika sayısı n ile, mağaza sayısı m ile gösterilir."]},"beginTime":1159,"endTime":1364,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=1159&ask_summarization=1"},{"index":9,"title":"Matematiksel Modelin Oluşturulması","list":{"type":"unordered","items":["Ulaştırma probleminde minimizasyon problemi olarak modellenir ve amaç fonksiyonu, taşıma maliyetleri ile taşıma miktarlarının çarpımının toplamını minimize etmektir.","Kısıtlar üç türdür: arz kısıtları (bir fabrikanın ürettiği miktar gönderdiği miktara eşit olmalı), talep kısıtları (mağazanın aldığı toplam miktar talebine eşit olmalı) ve denge kısıtı (toplam arz toplam talebe eşit olmalı).","Denge kısıtı, dengeli problemde toplam arzın toplam talebe eşit olması durumunu ifade eder."]},"beginTime":1364,"endTime":1511,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=1364&ask_summarization=1"},{"index":10,"title":"Örnek Ulaştırma Problemi","list":{"type":"unordered","items":["Örnek problemde üç fabrika (Bursa, Kocaeli ve Sakarya) ve üç mağaza (İstanbul, İzmir ve Ankara) bulunmaktadır.","Fabrikaların kapasiteleri sırasıyla 120, 40 ve 100 birim, mağazaların talepleri ise sırasıyla 180, 30 ve 50 birimdir.","Fabrikaların mağazalara olan mesafeler tabloda gösterilmiştir ve toplam arz ile toplam talebin eşit olması dengeli bir problem olduğunu gösterir."]},"beginTime":1511,"endTime":1722,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=1511&ask_summarization=1"},{"index":11,"title":"Ulaştırma Probleminin Gösterimi","list":{"type":"unordered","items":["Ulaştırma problemleri genellikle tablo gösterimleriyle çözülür ve bu tablolar daha kolay anlaşılır hale getirir.","Network gösteriminde, fabrikalar ve mağazalar arasında gidiş gelişler oklar vasıtasıyla gösterilir.","Tablo gösteriminde, fabrikalar satırlarda, mağazalar sütunlarda yer alır ve her hücrede taşıma miktarı ve maliyeti (veya mesafe) gösterilir."]},"beginTime":1722,"endTime":1848,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=1722&ask_summarization=1"},{"index":12,"title":"Ulaştırma Probleminin Tanıtımı","list":{"type":"unordered","items":["Tüm bilgiler tabloya eklendikten sonra ulaştırma tablosu oluşturulur.","Ulaştırma tablosunda fabrikadan mağazaya giden taşıma miktarları ve maliyetleri yer alır.","Ulaştırma probleminde fabrika ve mağaza sayısı değişkenlik gösterebilir."]},"beginTime":1849,"endTime":1956,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=1849&ask_summarization=1"},{"index":13,"title":"Ulaştırma Probleminin Çözüm Yöntemleri","list":{"type":"unordered","items":["Ulaştırma problemini çözmek için iki aşamalı bir yöntem kullanılır: önce olurlu başlangıç çözümü bulunur, sonra optimum çözüm aranır.","Simplex algoritması ulaştırma problemleri için verimli değildir çünkü çok fazla sıfırlardan oluşur.","İyi bir çözüm problemi çözebilir ve başlangıç çözümü olabilir, ancak bu kesinlikle optimum çözüm anlamına gelmez."]},"beginTime":1956,"endTime":2144,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=1956&ask_summarization=1"},{"index":14,"title":"Olurlu Başlangıç Çözüm Yöntemleri","list":{"type":"unordered","items":["Olurlu başlangıç çözümü bulmak için üç farklı yöntem vardır: kuzeybatı köşe yöntemi, en küçük maliyetler yöntemi ve Vogel yaklaşım yöntemi.","Bu yöntemler olurlu başlangıç çözümü bulmak için kullanılır, en iyi çözüm bulmak için farklı yöntemler kullanılacaktır."]},"beginTime":2144,"endTime":2236,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=2144&ask_summarization=1"},{"index":15,"title":"Kuzeybatı Köşe Yöntemi","list":{"type":"unordered","items":["Kuzeybatı köşe yöntemi en kolay olan yöntemdir ve algoritma sol üst köşeden (kuzeybatıdan) başlayarak sağ alt köşeye (güneydoğuya) ilerler.","Yöntemin adımları: sol üst köşeye arz ve talepten minimum olan miktar atılır, tam karşılanan satır veya sütun işlemden çıkarılır.","Tablonun güneydoğu köşesine doğru ilerlenir ve yapılan atamaların m+n-1 adet olup olmadığı kontrol edilir (m fabrika sayısı, n mağaza sayısı)."]},"beginTime":2236,"endTime":2361,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=2236&ask_summarization=1"},{"index":16,"title":"Kuzeybatı Köşe Yöntemi ile Ulaştırma Problemi Çözümü","list":{"type":"unordered","items":["Örnek problemde Bursa, Kocaeli ve Sakarya'dan üretilen kumaşların İstanbul, İzmir ve Ankara'ya taşınması için optimizasyon yapılması gerekiyor.","Kuzeybatı köşe yönteminde ilk adımda kuzeybatı köşesine gidilir ve Bursa ile İstanbul arasındaki hücreye maksimum atama yapılır.","Talep ve arz değerleri güncellenirken, minimum miktar olan satır veya sütun kaldırılır ve işlem devam eder."]},"beginTime":2369,"endTime":2477,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=2369&ask_summarization=1"},{"index":17,"title":"Atama İşlemleri ve Sonuçlar","list":{"type":"unordered","items":["Kuzeybatı köşe yönteminde satırda hareket edilemezse sütunda hareket edilir ve Kocaeli ile İstanbul arasında 40'lık atama yapılır.","Sakarya ile İstanbul, Sakarya ile İzmir ve Sakarya ile Ankara arasında atamalar yapılarak tüm talepler karşılanır.","Sonuçta 5 atama yapılmış olup, bu bir olurlu başlangıç çözümüdür ancak optimum çözüm değildir."]},"beginTime":2477,"endTime":2655,"href":"/video/preview/11080511697980347160?parent-reqid=1765276789883768-6582132347816059301-balancer-l7leveler-kubr-yp-klg-55-BAL&text=Solutions+Method&t=2477&ask_summarization=1"},{"index":18,"title":"Maliyet Hesaplaması ve Sonuç","list":{"type":"unordered","items":["Atamaların maliyeti hesaplanırken, mesafe ve taşıma miktarı çarpılarak toplam maliyet bulunur.","Bu örnekte toplam maliyet 57.120 TL olarak hesaplanmıştır.","Kuzeybatı köşe yöntemiyle ulaştırma problemlerine iyi bir çözüm bulunmuş olup, daha iyi çözümler için farklı yöntemler 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