Two-Storage Inventory Model for Deteriorating Items with Price Dependent Demand and Shortages under Partial Backlogged in Fuzzy Approach

Czasopismo

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• Autorzy: Susanta Kumar Indrajitsingha , Padmanava Samanta , Lakshmi Kanta Raju , Umakanta Misra

Warianty tytułu

Dwumagazynowy rozmyty model zapasów psujących się o zapotrzebowaniu zależnym od ceny oraz uwzględniający braki

• Języki publikacji: EN

Abstrakty

EN

Background: In this paper we developed a fuzzy two-warehouse (one is OW, the own warehouse and other is RW, the rented warehouse) inventory model of deteriorating items with price dependent demand rate and allowed shortages under partially backlogged conditions. Since the capacity of any warehouse is limited, the supplier has to rent a warehouse for keeping the excess units over the fixed capacity W of the own warehouse in practice. The rented warehouse owed higher holding cost than the own warehouse. In this paper we considered holding cost, deterioration rate, shortages cost and lost sales as triangular fuzzy numbers. Methods: Graded Mean Integration Representation is used to defuzzify the total cost function. The result obtained by this method is compared with crisp model with the help of a numerical example. Sensitivity analysis is accomplished to changing one parameter at a time and keeping others at their archetypal. Results and conclusions: It has been proved that graded mean integration representation method gives more accurate result as compare to crisp model. (original abstract)

Wstęp: W pracy zaprezentowano rozmyty model układu dwumagazynowego, składającego się z własnego magazynu (OW) oraz magazyny wynajmowanego (RW) dla asortymentów podlegających psuciu oraz o popycie zależnym od ceny przy dopuszczenia częściowych braków. Ze względu na ograniczoną powierzchnię własną magazynu, dostawca był zmuszony wynająć drugi magazyn w celu magazynowania nadwyżki. Koszt magazynu wynajmowanego jest wyższy niż koszt magazynu własnego. W pracy uwzględniono koszt utrzymywania obiektu, współczynnik psucia, koszt ubytków oraz koszt utraty sprzedaży jak liczby rozmyte. Metody: W celu odwrócenia rozmycia funkcji całkowitego kosztu użyto metody Graded Mean Integration Representation. Otrzymane wyniki porównano z modelem Crisp przy pomocy przykładu liczbowego. Następnie wykonano analizę wrażliwości zmieniają jeden z parametrów przy utrzymaniu niezmienionych pozostałych. Wyniki i wnioski: Wykazano, że wyniki uzyskane przy zastosowaniu metody Graded Mean Integration Representation są dokładniejsze aniżeli przy zastosowaniu modelu Crisp. (abstrakt oryginalny)

Słowa kluczowe

EN

Inventories; Fuzzy sets; Supply management; Shortage economy

PL

Zapasy; Zbiory rozmyte; Zarządzanie magazynem; Gospodarka niedoboru

• Czasopismo: ---
• Strony: 487--499

Twórcy

autor

Susanta Kumar Indrajitsingha

• Saraswati Degree Vidya Mandir, Odisha, India

autor

Padmanava Samanta

• Berhampur University, Odisha, India

autor

Lakshmi Kanta Raju

• NIST, Odisha, India

autor

Umakanta Misra

• NIST, Odisha, India

Bibliografia

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Identyfikatory

DOI

10.17270/J.LOG.2019.344