Yeni bir 4-boyutlu tedarik zinciri sisteminde hiperkaos

Tedarik zinciri, müşteri ihtiyaçlarını karşılayabilmek için hammadde tedarikinden başlayarak müşteriye ürün teslimine kadar devam eden tüm süreçlerdeki birçok faktörün etkisi altında olması bakımından karmaşık ve kaotik bir yapıya sahiptir. Kaotik tedarik zinciri, sistemi oluşturan değişkenlerin beklenmedik bazı davranışlar sergilemesi ve bu davranışların uzun süreli tahminlerinin yapılamaması anlamına gelmektedir. Literatürde farklı tedarik zinciri sistemlerinin matematiksel modelleri oluşturularak kaotik yapılarının incelendiği çalışmalar mevcuttur. Bu çalışmada ilk kez daha önce sunulan bir tedarik zinciri modelinin talep durum denklemine lineer kontrolör eklenmiş ve oluşturulan bu yeni tedarik zinciri sisteminin hiperkaotik davranış sergilediği görülmüştür. Elde edilen yeni 4 boyutlu hiperkaotik sistemin Matlab-Simulink programı kullanılarak sayısal analizleri yapılmış ve hiperkaotik davranışı faz portreleri ile ortaya konmuştur. Faz portresinde krank mili ya da çok katlı kelebek kanadı gibi bir şekle benzeyen kaotik bir çekici oluştuğu gözlemlenmiştir. Çalışmanın sonucunda tedarik zinciri sisteminde farklı davranışların meydana gelmesine neden olan yeni terimin müşteri sadakati olarak tanımlanabileceği vurgulanmıştır.

Hyperchaos in a new 4d supply chain system

The supply chain has a complex and chaotic structure in that it is under the influence of many factors in all the processes from raw material supply to customer delivery in order to meet customer needs. Chaotic supply chain means that the variables that make up the system exhibit some unexpected behaviors and can not make long-term predictions of these behaviors. In the literature, there are studies in which chaotic structures are examined by creating mathematical models of different supply chain systems. In this study, a linear controller was added to the demand state equation of a previously presented supply chain model for the first time and it is seen that this new supply chain system exhibited hyperchaotic behavior. Numerical analysis of the new 4-dimensional hypechaotic system was examined by using Matlab-Simulink program and hyperchaotic behavior was revealed with phase-portraits. It has been observed that there is a chaotic attractor similar to a crankshaft or multi-layered butterfly wing in phase portrait. As a result of the study, it is emphasized that the new term that leads to different behaviors in the supply chain system can be defined as "customer loyalty".

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