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Simplex Method LPP : • Simplex Method | Linear Programming | LPP ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4332919/551e07d75c5aafeea57c73ab9fe088f9/564x318_1"},"target":"_self","position":"5","reqid":"1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DcuMXl-qVw-4","linkTemplate":"/video/preview/1186441975538907417?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Simplex Method | Unbounded Solution In Linear Programming | LPP | Maximization Problem | Mathematics","related_orig_text":"Simplex Solutions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Simplex Solutions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=cuMXl-qVw-4\",\"src\":\"serp\",\"rvb\":\"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_E9kMggQkAYAEKyqLARABGniB-wr-CQL9APv8_xABCfsCIwMHAvQEBAD1B_v-_wL_APH2_A4FAAAA-gj6EQIAAAD9Ce4D9v4BAAQCDQfpAP8AC_4JBAMAAAASFgj5_gEAAPz0DPwCAAAAGfsD9P8AAAD5BRMG_gAAAAAT_P8BAAAAEf0KBQAAAAAgAC3gdcw7OBNACUhOUAIqcxAAGmDqBQA3-xTazjY94vH29ATt2zK65s0C_wIJ_xw5Ktj1--PkICb_K9II7qsAAAAdB8AbAgDwaNzmvCwfG_Sf5fYcEH_JBujeNOTPm-8o0SP-KgIQJBMAzPwA-l4H8xgoAEAgAC1RZCU7OBNACUhvUAIqrwYQDBqgBgAAoEEAANhBAADgwAAA4MEAAKDBAAAgwQAAQEIAAODBAAAcQgAA4EAAAIBBAABswgAARMIAAADCAABAQgAAaMIAAOBBAAA0wgAA8EEAAAjCAACQwQAA2MEAALhBAABAQQAAMEIAACzCAABAwgAAkMIAAFhCAAC4QQAAgMEAAMBBAACawgAAoEAAAJbCAAAAQAAAgMEAAO5CAABEwgAAKEIAAAhCAACAwAAA6EEAAABBAACgQQAAtMIAACDCAACAvwAAmkIAALBBAAAgwgAAYMEAABDBAACwQQAAAEAAAOhBAAAAwwAAcEEAAILCAAAcQgAAyEEAABTCAACQwQAAeMIAAIC_AABwQQAAYEEAAABBAAAswgAASMIAAJhCAADAQgAA8MEAADxCAADAQAAAEMIAAGBBAADQwQAAIEIAAHBBAAB4wgAAYMEAAKBAAACmQgAAwMAAAKDBAAAYQgAAiMEAACRCAACEwgAAoEAAABhCAACowQAAfMIAABTCAACAwgAA8MEAAOhBAACgQQAA-MEAAPDBAAAUQgAA2EEAAMLCAABQwgAAQEEAAJBBAAA0QgAAoEAAAIhBAADwQQAAAMAAAADAAAAgwQAA0EEAAEDAAABMwgAAgsIAAIA_AACAQAAAYMEAAEzCAAD4wQAACMIAAIC_AAA4QgAAgEAAAADBAADYwQAABMIAAKhBAAAAwQAAgD8AAAxCAAAAAAAA6EEAAIBBAACAPwAANMIAAMLCAACAPwAAMMEAAAjCAADgQAAA4MAAAFDBAAA4wgAAQMEAAOBBAACAwQAAiMEAAHRCAAAwQgAAgMAAADBBAACgwQAAiEEAALzCAABQwQAAMEIAAIjBAABEQgAACMIAACDCAAAAwgAAYEIAALhBAABAQgAAZEIAABBBAABgwgAANEIAABzCAAAAwAAAuMEAAMBAAACowQAAuMEAAKZCAAC4QQAAAEIAAADAAAA0QgAAAEEAAMpCAAAAwAAAxsIAAJhBAACgwQAAmMEAALjCAAAUwgAAoMAAAAAAAABgQgAA2EEAADzCAAAQwQAAIMIAACjCIAA4E0AJSHVQASqPAhAAGoACAAAMvgAAgr4AAMg9AACYPQAA-L0AAKo-AADIPQAAB78AABy-AAAEvgAAiD0AAEC8AABAPAAAMD0AAES-AACgvAAAFD4AADA9AACOPgAAxj4AAH8_AABAPAAAMD0AAHA9AABkvgAAmr4AADQ-AACovQAA2L0AAJg9AABMPgAAgDsAAOC8AABMPgAAJD4AACw-AAA0PgAARL4AAK6-AAD4vQAAur4AABC9AABwvQAAcD0AAHC9AAAkvgAAnj4AABy-AAAUvgAAPL4AAOg9AABwvQAAPD4AAFC9AAA8vgAAML0AACs_AAAcPgAAFD4AAMi9AADgPAAAZD4AABC9AAAcviAAOBNACUh8UAEqjwIQARqAAgAALL4AAPg9AABwvQAALb8AABS-AAAwPQAATD4AAAw-AAC4PQAAbD4AAEC8AABwvQAAiL0AAKi9AABcPgAAQLwAAIC7AAAtPwAAUL0AAPY-AADIvQAAuL0AAIC7AADovQAAmL0AAEw-AAAwPQAAFD4AABS-AABAPAAAiL0AAJg9AABwvQAAVL4AAOA8AACAuwAA6D0AAKo-AAAsvgAAEL0AAHA9AADYvQAAEL0AAIA7AACoPQAAQDwAAH-_AAAsvgAANL4AAFC9AABQvQAAcD0AAEC8AACoPQAAND4AAOg9AABAvAAAqL0AADw-AABwPQAATD4AAIA7AADgPAAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=cuMXl-qVw-4","parent-reqid":"1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["1186441975538907417"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14087774124472350406":{"videoId":"14087774124472350406","docid":"34-5-4-Z4CCD13BD553494C0","description":"Bu videoda Python Scipy kütüphanesi kullanılarak doğrusal programlama problemi çözülecektir. Metot olarak Simplex algoritması kullanılmıştır. Çözüm grafik çözümü olarak gösterilmiştir.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2926813/c2018266c115200159db26ad588f5e94/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zQS0IgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=videoid:14087774124472350406","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitim içeriği olup, konuşmacı Python programlama dilinde SciPy kütüphanesi kullanarak doğrusal optimizasyon problemlerini nasıl çözebileceğimizi göstermektedir.","Video, Operations Research and Practical Introduction kitabından alınan bir maksimizasyon problemi üzerinden başlayıp, Jupyter Notebook'ta adım adım çözüm sürecini göstermektedir. İlk olarak gerekli kütüphanelerin (Numpy ve SciPy) çağrılması, problem parametrelerinin tanımlanması, linear programming fonksiyonu ile çözümün bulunması ve son olarak çözümün grafik üzerinde gösterilmesi anlatılmaktadır.","Videoda ayrıca mavi, kırmızı ve yeşil alanlar kullanılarak olurlu bölge belirlenerek çözümün adım adım nasıl yapıldığı gösterilmektedir. Bu eğitim, doğrusal programlama problemlerinin Python'da nasıl çözüleceğini ve grafiksel olarak nasıl gösterileceğini öğrenmek isteyenler için faydalı olacaktır."]},"endTime":1718,"title":"Python'da SciPy ile Doğrusal Programlama Problemlerinin Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Python'da Doğrusal Optimizasyon Problemi Çözümü","list":{"type":"unordered","items":["Video, Python'daki SciPy kütüphanesini kullanarak doğrusal bir optimizasyon problemi nasıl çözüleceğini anlatmaktadır.","Ele alınan problem, Operations Research and Practical Introduction kitabında yer alan bir maksimizasyon problemidir.","Problemin çözümü sonrası, en iyi çözüm grafiğe çizilerek gösterilecektir."]},"beginTime":0,"endTime":48,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=0&ask_summarization=1"},{"index":1,"title":"Problemin Tanımı","list":{"type":"unordered","items":["Çözülecek problem, Z = 3x₁ + x₂ amaç fonksiyonuna sahip bir maksimizasyon problemidir.","Problemin üç adet kısıtı vardır: x₂ ≤ 5, x₁ + x₂ ≤ 10, -x₁ + x₂ ≤ 2 ve karar değişkenlerinin sıfırdan büyük olma şartı vardır.","Üçüncü kısıt için, daha kolay olması için iki tarafı eksi ile çarpılarak küçük eşit işaretine sahip hale getirilmiştir."]},"beginTime":48,"endTime":182,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=48&ask_summarization=1"},{"index":2,"title":"Kütüphanelerin Çağrılması","list":{"type":"unordered","items":["Numpy kütüphanesi, matris işlemleri ve matematiksel işlemler için kullanılmaktadır.","SciPy kütüphanesinin optimize modülündeki linear programming fonksiyonu kullanılacaktır.","Kısıtlar için A, sağ taraflar için B, amaç fonksiyonu katsayıları için C değişkenleri tanımlanacaktır."]},"beginTime":182,"endTime":249,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=182&ask_summarization=1"},{"index":3,"title":"Kısıtlar ve Katsayıların Tanımlanması","list":{"type":"unordered","items":["Kısıtlar için A değişkeni, 3x2 boyutunda bir numpy dizisi olarak tanımlanmıştır.","Sağ taraflar için B değişkeni, 3x1 boyutunda tek boyutlu bir numpy dizisi olarak tanımlanmıştır.","Amaç fonksiyonu katsayıları için C değişkeni, tek boyutlu bir numpy dizisi olarak tanımlanmıştır."]},"beginTime":249,"endTime":354,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=249&ask_summarization=1"},{"index":4,"title":"Doğrusal Programlama Çözümü","list":{"type":"unordered","items":["linear programming fonksiyonu kullanılarak problem çözülmektedir.","Fonksiyona C (amaç fonksiyonu katsayıları), A (kısıtlar), B (sağ taraflar) parametreleri ile metot olarak simplex yöntemi verilmektedir.","Karar değişkenlerinin sıfırdan büyük olma şartı belirtilmiştir."]},"beginTime":354,"endTime":520,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=354&ask_summarization=1"},{"index":5,"title":"Çözüm Sonucu","list":{"type":"unordered","items":["SciPy kütüphanesindeki doğrusal programlama fonksiyonu varsayılan olarak minimizasyon problemi olarak çalışmaktadır.","Maksimizasyon problemi için, katsayıların önüne eksi koyularak çözüm bulunmuştur.","Fonksiyonun maksimum değeri 22 olarak bulunmuştur."]},"beginTime":520,"endTime":615,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=520&ask_summarization=1"},{"index":6,"title":"Grafik Çizimi","list":{"type":"unordered","items":["Bulunan sonuçlar grafik üzerinde gösterilmek için üç kısıt grafiği çizilmektedir.","Numpy kütüphanesinin linspace fonksiyonu kullanılarak x değerleri oluşturulmuştur.","plt.plot fonksiyonu kullanılarak kısıt grafikleri çizilmiştir."]},"beginTime":615,"endTime":853,"href":"/video/preview/14087774124472350406?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=615&ask_summarization=1"},{"index":7,"title":"Olurlu Bölgenin Gösterilmesi","list":{"type":"unordered","items":["Olurlu çözüm bölgesi, kısıtların altında kalan alandır.","Grafik üzerinde olurlu bölge boyanarak gösterilmiştir.","Çizgilerin altında kalan alanlar taranarak olurlu çözüm bölgesi 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Eğitmen, simpleks algoritması ve lineer programlama konularını adım adım anlatmaktadır.","Videoda, lineer programlama problemlerinin simpleks yöntemiyle çözümü detaylı olarak gösterilmektedir. Önce problem standart hale getirilip başlangıç tablosu oluşturulur, ardından tablo güncelleme işlemleri, pivot eleman seçimi, minimum oran testi ve optimal çözüm bulunma süreci adım adım anlatılır. Ders, optimal tablonun elde edilmesi ve çözümün yorumlanmasıyla sonlanır.","Videoda ayrıca, karar değişkenleri (x1, x2) ve kısıtlar (s1, s2, s3, s4) hakkında yorumlar yapılırken, kısıtların kıt veya bol kaynak olduğu belirtilir. Duyarlılık analizi konusunun ileride ele alınacağı da belirtilmektedir."]},"endTime":2924,"title":"Simpleks Algoritması ve Lineer Programlama Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Simplex Algoritması Dersinin Devamı","list":{"type":"unordered","items":["Geçtiğimiz hafta simplex algoritması bilgisayar üzerinde gösterilmiş, ancak elle çözüm gösterilmemişti.","Bu hafta, maksimizasyon problemi için elle çözümü gösterilecek ve daha sonra bilgisayar çözümü hakkında bilgi verilecek.","Öğrencilere tavsiye ediliyor ki, kağıt kalem alarak birlikte problemi çözmeye çalışsınlar."]},"beginTime":0,"endTime":77,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=0&ask_summarization=1"},{"index":1,"title":"Matematiksel Modelin Standart Hale Getirilmesi","list":{"type":"unordered","items":["Ele alınan problem, Hamdi Taha'nın \"Operations Research\" kitabında yer alan standart bir problem.","Simplex algoritması için standart hale dönüştürme işlemi gerekiyor.","Kısıtlardaki küçük eşitsizlikler için sol tarafa dolgu değişkenleri (s1, s2, s3, s4) ekleniyor."]},"beginTime":77,"endTime":276,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=77&ask_summarization=1"},{"index":2,"title":"Standart Hale Getirme İşlemi","list":{"type":"unordered","items":["Eklenen dolgu değişkenleri (s1, s2, s3, s4) için negatif olmama koşulu (≥0) belirtiliyor.","Amaç fonksiyonunda da yeni değişkenlerin gösterilmesi gerekiyor.","Amaç fonksiyonu da eşitlik halinde yazılmalı ve başlangıç tablosuna geçilebilir hale getirilmeli."]},"beginTime":276,"endTime":413,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=276&ask_summarization=1"},{"index":3,"title":"Başlangıç Tablosunun Oluşturulması","list":{"type":"unordered","items":["Başlangıç tablosunda standart hale getirilmiş problem bir tabloya aktarılıyor.","Tabloda \"temel değişkenler\" ve \"sağ yan değerleri\" (solution values veya RHS) sütunları bulunuyor.","Tabloda z değişkeni, x1, x2, s1, s2, s3 ve s4 değişkenleri sıralanıyor."]},"beginTime":413,"endTime":546,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=413&ask_summarization=1"},{"index":4,"title":"Başlangıç Tablosunun Oluşturulması","list":{"type":"unordered","items":["Birinci kısıtta z'nin katsayısı 1, x₁'in katsayısı 6, x₂'nin katsayısı 4, s₁'in katsayısı 1, sağ yan değeri 24 olarak belirleniyor.","İkinci kısıtta z'nin katsayısı 1, x₁'in katsayısı 1, x₂'nin katsayısı 2, s₁'in katsayısı 2, s₂'nin katsayısı 1, sağ yan değeri 6 olarak belirleniyor.","Üçüncü kısıtta s₃'e katsayı -1, s₄'e katsayı 1, sağ yan değeri 1 olarak belirleniyor.","Dördüncü kısıtta x₁'in katsayısı 1, x₂'nin katsayısı 1, s₄'in katsayısı 1, sağ yan değeri 2 olarak belirleniyor."]},"beginTime":552,"endTime":666,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=552&ask_summarization=1"},{"index":5,"title":"Tablonun Optimal Olup Olmadığının Kontrolü","list":{"type":"unordered","items":["Başlangıç tablosu oluşturulduktan sonra, tablonun optimal olup olmadığı kontrol ediliyor.","Maksimizasyon problemi için Z satırında eksi değerlerin olmaması gerekiyor, ancak Z satırında -5 ve -4 değerleri bulunuyor.","Z satırındaki -5 ve -4 değerleri, x₁ ve x₂ değişkenlerinin bir birim arttığında Z değerinin artacağı anlamına geliyor, bu da tablonun optimal olmadığını gösteriyor.","Sağ yan değerlerinin hepsinin pozitif olması nedeniyle tablo olumlu çözüm sunuyor."]},"beginTime":666,"endTime":808,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=666&ask_summarization=1"},{"index":6,"title":"Yeni Tablo Oluşturma","list":{"type":"unordered","items":["Tablonun optimal olmadığı için yeni bir tablo oluşturulması gerekiyor, bunun için temel değişkenlerde değişiklik yapılıyor.","Giren değişken olarak x₁ seçiliyor çünkü x₁ değişkeninin amaç fonksiyonundaki katsayısı mutlak değer olarak x₂ değişkeninin katsayısından daha büyük.","Çıkan değişken olarak s₂ seçiliyor çünkü x₁ sütunundaki değerlerle sağ yan değerlerin bölünmesi sonucunda en küçük pozitif oran 1 olarak bulunuyor.","Anahtar satır olarak s₂ satırı, anahtar sütun olarak x₁ sütunu belirleniyor."]},"beginTime":808,"endTime":1052,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=808&ask_summarization=1"},{"index":7,"title":"Tablo Düzenleme İşlemleri","list":{"type":"unordered","items":["İlk adım olarak anahtar elemanın 1 olması sağlanıyor, bunun için s₂ satırındaki değerler 6'ya bölünüyor.","Z satırındaki x₁ değişkeninin katsayısı 1 yapmak için, yeni oluşan s₂ satırı 5 ile çarpılıp Z satırıyla toplanıyor.","s₂ satırındaki x₁ değişkeninin katsayısı 0 yapmak için, yeni oluşan s₂ satırı -1 ile çarpılıp s₂ satırıyla toplanıyor.","s₃ satırındaki x₁ değişkeninin katsayısı 0 yapmak için, yeni oluşan s₂ satırı 1 ile çarpılıp s₃ satırıyla toplanıyor.","s₄ satırındaki x₁ değişkeninin katsayısı zaten 0 olduğu için değişiklik yapılmıyor."]},"beginTime":1052,"endTime":1456,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=1052&ask_summarization=1"},{"index":8,"title":"Optimal Tablo Kontrolü","list":{"type":"unordered","items":["Optimal tablo için temel dışı değişkenlerde negatif değer görmemek gerekiyor.","X1 değişkeni şartı sağlamış, X2 hala sağlamamış durumda.","X2 değişkeni bir değişken olarak seçilmeli ve minimum oran testi yapılmalı."]},"beginTime":1470,"endTime":1517,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=1470&ask_summarization=1"},{"index":9,"title":"Minimum Oran Testi ve Tablo Güncelleme","list":{"type":"unordered","items":["Minimum oran testinde S2 değişkeni en küçük değere sahip olduğu için giren değişken olarak seçiliyor.","Yeni tablo oluşturmak için anahtar eleman (pivot eleman) bir haline getirilmeli.","Çıkış değişkeni (S1) ve giriş değişkeni (X2) sütunlarındaki değerler bir olacak şekilde yazılmalı."]},"beginTime":1517,"endTime":1793,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=1517&ask_summarization=1"},{"index":10,"title":"Tablo Değerlerinin Hesaplanması","list":{"type":"unordered","items":["Yeni tablo oluşturulurken, S1 satırı için 3/2 ile çarpıp toplama işlemi yapılıyor.","X1 satırı için 3/1 ile çarpıp toplama işlemi yapılıyor.","S3 satırı için -5/3 ile çarpıp toplama işlemi yapılıyor."]},"beginTime":1793,"endTime":2406,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=1793&ask_summarization=1"},{"index":11,"title":"Optimal Tablo Sonucu","list":{"type":"unordered","items":["Yeni tablo oluşturulduktan sonra, Z satırında temel dışı değişkenlerin katsayılarına bakılıyor.","S1'in katsayısı 1/2 olup, 0'dan büyüktür.","Z satırında temel dışı değişkenlerin katsayısı pozitif olduğu için bu tablo optimaldir."]},"beginTime":2406,"endTime":2471,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=2406&ask_summarization=1"},{"index":12,"title":"Optimal Tablonun Değerlendirilmesi","list":{"type":"unordered","items":["Optimal tabloya ulaşıldı ve katsayıların pozitif olması nedeniyle olurlu bir çözüme sahip olduğu belirlendi.","Optimal tablo bulunduğunda, bu tablo problemin çözümü için kullanılır ve tablodaki değerler okunarak çözüm çıkarılır.","Tabloda temel değişkenler (çözümde olan değişkenler) ve tüm değişkenler yer alır."]},"beginTime":2503,"endTime":2581,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=2503&ask_summarization=1"},{"index":13,"title":"Çözümün Yorumlanması","list":{"type":"unordered","items":["Çözümde Z (amaç fonksiyonu) değeri 21, x1 değeri 3, x2 değeri 3,2, s3 değeri 5/2 ve s4 değeri 1/2 olarak bulundu.","x1'den 3 birim ve x2'den 3,2 birim kullanıldığında amaç fonksiyonu 21 değerine ulaşır ve bu maksimum değer olduğu için daha fazla kazanç elde edilemez.","s3 ve s4 kısıtlarında boşluk (kullanılmamış yer) varken, s1 ve s2 kısıtları tamamen kullanılmış durumdadır."]},"beginTime":2581,"endTime":2765,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=2581&ask_summarization=1"},{"index":14,"title":"Kaynakların Değerlendirilmesi","list":{"type":"unordered","items":["s1 ve s2 kısıtları tamamen kullanılmış olduğu için \"kıt kaynak\" olarak değerlendirilir ve bu kaynaklarda artış yapılmalıdır.","s3 ve s4 kısıtlarında boşluk olduğu için \"bol kaynak\" olarak değerlendirilir ve bu kaynaklarda tasarruf yapılabilir.","Dört kısıt incelenerek hangi kaynakların kıt, hangi kaynakların bol olduğu belirlenmiştir."]},"beginTime":2765,"endTime":2830,"href":"/video/preview/12981092802322890619?parent-reqid=1769664272251571-3479568492282383798-balancer-l7leveler-kubr-yp-vla-113-BAL&text=Simplex+Solutions&t=2765&ask_summarization=1"},{"index":15,"title":"Problemin Çözüm Süreci","list":{"type":"unordered","items":["Problemin çözümü, matematiksel modelden başlayarak standart hale getirilmesi, başlangıç tablosuna dönüştürülmesi ve olurlu çözüm kontrolüyle başlar.","Anahtar elemanı belirleyip birim vektörü oluşturmak için satır-sütun işlemleri ve minimum oran testi yapılır.","Yeni tablo oluşturulduktan sonra optimal kontrolü yapılır ve optimal tablo bulunursa sonuçlar 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