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Sonuç olarak, maksimum değer (P = 80) bulunarak optimal çözümün nasıl bulunacağı ve bu çözümün nasıl yorumlanacağı gösterilmektedir."]},"endTime":945,"title":"Simplex Metodu ile Doğrusal Programlama Problemi Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Simplex Metodu ile Doğrusal Programlama Problemi","list":{"type":"unordered","items":["Video, simplex metodu ile doğrusal programlama problemi çözmeye örnek sunuyor.","Verilen problem bir maksimize etme problemi olup, kısıt fonksiyonları ve amaç fonksiyonu içeriyor.","Çözüm için önce eşitsizlik sisteminden kısıt fonksiyonlarını denklem sistemine taşıyıp, amaç fonksiyonundan bir denklem elde edip başlangıç simplex matrisini oluşturmak gerekiyor."]},"beginTime":0,"endTime":46,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=0&ask_summarization=1"},{"index":1,"title":"Denklem Sisteminin Oluşturulması","list":{"type":"unordered","items":["İlk kısıt fonksiyonuna s₁ eklenerek 4x₁ + x₂ + s₁ = 28 denklemi elde ediliyor.","İkinci kısıt fonksiyonuna s₂ eklenerek 2x₁ + 3x₂ + s₂ = 24 denklemi elde ediliyor.","Amaç fonksiyonundan -10x₁ - 5x₂ + p = 0 denklem elde ediliyor."]},"beginTime":46,"endTime":101,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=46&ask_summarization=1"},{"index":2,"title":"Başlangıç Simplex Matrisinin Oluşturulması","list":{"type":"unordered","items":["Başlangıç simplex matrisi x₁, x₂, s₁, s₂ ve p değişkenlerini içeriyor.","Matrisin alt satırında amaç fonksiyonunun katsayıları yer alıyor.","Matrisin alt satırında en küçük negatif değer (-10) pivot sütununu belirliyor."]},"beginTime":101,"endTime":206,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=101&ask_summarization=1"},{"index":3,"title":"Pivot Elemanının Belirlenmesi ve Matrisin Düzenlenmesi","list":{"type":"unordered","items":["Pivot elemanını bulmak için pivot sütunun üst tarafındaki pozitif girdilerden en küçük olanı seçiliyor.","Pivot elemanı 4 olarak belirleniyor ve pivot satırı 1/4 ile çarpılarak pivot değeri 1 yapılıyor.","Pivotun altını sıfırlamak için pivot satırı -2 ile çarpılıp ikinci satıra, 10 ile çarpılıp üçüncü satıra ekleniyor."]},"beginTime":206,"endTime":456,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=206&ask_summarization=1"},{"index":4,"title":"Matrisin Yeniden Düzenlenmesi","list":{"type":"unordered","items":["Matrisin alt satırında sıfır kalmadığı an simplex metodu ile çözüm biter.","Pivot değişkeni s₁'den x₁'e geçiyor.","Yeni pivot elemanı belirleniyor ve pivot satırı 2/5 ile çarpılarak pivot değeri 1 yapılıyor."]},"beginTime":456,"endTime":638,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=456&ask_summarization=1"},{"index":5,"title":"Pivot Elemanının Sıfırlanması","list":{"type":"unordered","items":["Pivot elemanının altını ve üstünü sıfırlamak için pivot satırı çarpılıp diğer satırlara ekleniyor.","İşlemlerin sonucu cins sayılarla ilgili olabilir; bazı hocalar temiz sayılar, bazıları kesirli sayılar çıkabilir durumları sorar.","İşlemlerde kesirli sayılar kullanıldığında, örneğin -1/4 ile çarpma ve toplama işlemleri yapılarak sonuçlar elde ediliyor."]},"beginTime":646,"endTime":807,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=646&ask_summarization=1"},{"index":6,"title":"Simplex Metotunun Tamamlanması","list":{"type":"unordered","items":["Simplex metotta sorunun çözümünün bittiği yer, en alttaki bütün negatiflerden kurtulduğumuzda gerçekleşir.","En alttaki negatiflerden kurtulduğumuzda maksimum değer bulunmuş demektir.","Çözümde değişkenler (x₁, x₂, s₁, s₂) ve maksimum değer (p) belirlenir."]},"beginTime":807,"endTime":893,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=807&ask_summarization=1"},{"index":7,"title":"Optimal Çözüm","list":{"type":"unordered","items":["Optimal çözümde her bir adımda basic değişkenler farklıdır ve ria'lar değişir.","Örnekte x₁=6, x₂=4, s₁=s₂=0 ve p=80 değerleri elde edilmiştir."]},"beginTime":893,"endTime":940,"href":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=893&ask_summarization=1"}],"linkTemplate":"/video/preview/13510677087040559667?parent-reqid=1766762667581229-2288811813129030260-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Mathematics+MS+Simplex&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Sonlu Matematik: Simplex Metodu Örnek Soru-1 (Simplex Method)","related_orig_text":"Mathematics MS Simplex","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics MS 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