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Eğitmen, simpleks algoritması ve lineer programlama problemlerinin çözümünü adım adım anlatmaktadır.","Video, simpleks algoritması sorusunun çözümüyle başlayıp, modelin standart hale getirilmesi, başlangıç tablosu oluşturulması ve temel değişkenlerin belirlenmesi sürecini göstermektedir. Ardından minimum oran testi, temele giren ve temelden çıkan değişkenlerin belirlenmesi, anahtar eleman seçimi ve tablo üzerinde yapılan matematiksel işlemler detaylı olarak anlatılmaktadır.","Videoda maksimizasyon problemi için çözüm adımları gösterilmekte ve sonuç olarak optimal çözüm değerleri (x₁ = 20/3, x₂ = 8/3, x₃ = 1, s₁ = bol kaynak, s₂ ve s₃ = kıt kaynak) elde edilmektedir."]},"endTime":1330,"title":"Simpleks Algoritması ve Lineer Programlama Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Simplex Algoritması Sorusunun Standart Haline Getirilmesi","list":{"type":"unordered","items":["Simplex algoritması sorusunda ilk adım, verilen modeli standart halde yazmaktır.","Standart hale getirme için kısıtlar eşitlik haline getirilir ve negatif olmama kısıtları x₁, x₂, s₁, s₂, s₃ ≥ 0 şeklinde yazılır.","Amaç fonksiyonu maksimum Z = 3x₁ + 4x₂ + 1 + 2 + s₃ olarak ifade edilir."]},"beginTime":1,"endTime":123,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=1&ask_summarization=1"},{"index":1,"title":"Simplex Algoritmasının Başlangıç Tablosu","list":{"type":"unordered","items":["Simplex algoritmasında ilk adım başlangıç tablosu oluşturmak olup, bu tabloda temel değişkenler (s₁, s₂, s₃) ve temel dışı değişkenler (x₁, x₂) yer alır.","Başlangıç tablosunda Z sütunu birim vektörü halinde, amaç fonksiyonu eksili halde yazılır.","Kısıtların katsayıları ve sağ yan değerleri tabloya eklenir."]},"beginTime":123,"endTime":255,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=123&ask_summarization=1"},{"index":2,"title":"Optimallik Kontrolü ve Değişken Değişimi","list":{"type":"unordered","items":["Optimallik kontrolü için Z satırında temel dışı değişkenlerden (x₁ ve x₂) katsayılarının negatif olmaması kontrol edilir.","Maksimizasyon probleminde temele giren değişken, Z satırındaki katsayıların mutlak değer büyük olan değişkendir (bu örnekte -4).","Temelden çıkan değişken için minimum oran testi yapılır ve sonuç 4 olduğu için s₁ değişkeni temelden çıkar."]},"beginTime":255,"endTime":350,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=255&ask_summarization=1"},{"index":3,"title":"Tablo Düzenlemesi","list":{"type":"unordered","items":["Çıkan değişkene karar verildikten sonra anahtar eleman 1 yapılır ve tablo yeniden düzenlenir.","S₂ satırı anahtar eleman olan 2 ile bölünerek yeniden yazılır.","Z satırı, anahtar sütundaki elemanı sıfır yapacak şekilde x₂ satırı ile çarpılıp toplanarak yeniden düzenlenir."]},"beginTime":350,"endTime":590,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=350&ask_summarization=1"},{"index":4,"title":"Doğrusal Programlama Probleminin Çözümü","list":{"type":"unordered","items":["Z satırında temel dışı değişkenlerde negatif değer olup olmadığı kontrol ediliyor.","X1 ve S1 temel dışı değişkenler olup, S1'in katsayısı 2, X1'in katsayısı -5 olduğu için giren değişken olarak X1 seçiliyor.","Minimum oran testi yapılarak S2'nin olduğu satır tercih ediliyor."]},"beginTime":597,"endTime":683,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=597&ask_summarization=1"},{"index":5,"title":"Tablo Düzenlemesi ve Optimallik Kontrolü","list":{"type":"unordered","items":["Anahtar eleman 1 yapılıyor ve tablo devam ettiriliyor.","Z satırı hesaplanırken X1'in katsayısı 5 ile çarpılıp eski Z satırı ile çarpılıyor.","X2 ve S3 satırları da hesaplanarak yeni değerler bulunuyor."]},"beginTime":683,"endTime":887,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=683&ask_summarization=1"},{"index":6,"title":"İkinci Giren ve Çıkan Değişken Seçimi","list":{"type":"unordered","items":["Z satırında S1 ile S2 arasında S1'in katsayısı negatif olduğu için tekrar optimallik sağlanmadığı için giren değişken olarak S2 seçiliyor.","Minimum oran testi yapılarak S3'ün olduğu satır tercih ediliyor.","Tablo tekrar düzenleniyor ve anahtar eleman 1 yapılıyor."]},"beginTime":887,"endTime":1250,"href":"/video/preview/13530041252454673771?parent-reqid=1768572064532315-1993601337514872860-balancer-l7leveler-kubr-yp-sas-199-BAL&text=Algoritmo&t=887&ask_summarization=1"},{"index":7,"title":"Son Tablo ve Optimal Çözüm","list":{"type":"unordered","items":["Son tabloda Z değeri 92/3 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