Optimization in fuzzy economic order quantity (FEOQ) model with deteriorating inventory and units lost

• Autorzy: Pattnaik M.

Warianty tytułu

PL

Optymizacja modelu zmiennej wielkości ekonomicznej zamówienia (FEOQ) dla produktów podlegających psuciu się oraz uwzględniający straty towaru

• Języki publikacji: EN

Abstrakty

EN

Background: This model presents the effect of deteriorating items in fuzzy optimal instantaneous replenishment for finite planning horizon. Accounting for holding cost per unit per unit time and ordering cost per order have traditionally been the case of modeling inventory systems in fuzzy environment. These imprecise parameters defined on a bounded interval on the axis of real numbers and the physical characteristics of stocked items dictate the nature of inventory policies implemented to manage and control in the production system. Methods: The modified fuzzy EOQ (FEOQ) model is introduced, it assumes that a percentage of the on-hand inventory is wasted due to deterioration and considered as an enhancement to EOQ model to determine the optimal replenishment quantity so that the net profit is maximized. In theoretical analysis, the necessary and sufficient conditions of the existence and uniqueness of the optimal solutions are proved and further the concavity of the fuzzy net profit function is established. Computational algorithm using the software LINGO 13.0 version is developed to find the optimal solution. Results and conclusions: The results of the numerical analysis enable decision-makers to quantify the effect of units lost due to deterioration on optimizing the fuzzy net profit for the retailer. Finally, sensitivity analyses of the optimal solution with respect the major parameters are also carried out. Furthermore fuzzy decision making is shown to be superior then crisp decision making in terms of profit maximization.

PL

Wstęp: Model ten prezentuje wpływ psucia się produktów w systemie ciągłego uzupełniania dla skończonego horyzontu planowania. Tradycyjnie zostały wyliczone w tym modelowym systemie koszty magazynowania na jednostkę artykułu, na jednostkę czasu oraz koszt zamówienia na zamówienie. Te nieprecyzyjne parametry zdefiniowane w określonych przedziałach osi dla rzeczywistych wartości i fizycznych charakterystyk magazynowanych produktów określają zasady zarządzania zapasami stosowanymi w danym systemie produkcyjnym. Metody: Zastosowano zmodyfikowany model zmiennej ekonomicznej wielkości zamówienia (FEOQ), zakładający, że pewien odsetek zapasów jest tracony w wyniku psucia się wyrobów. Model ten został tak zmieniony aby uzyskać optymalną wielkość zamówienia przy maksymalizacji zysku netto. W analizie teoretycznej, koniecznym i wystarczającym warunkiem istnienia i unikalności optymalnego rozwiązania jest znalezienie przegięcia funkcji zysku netto. Opracowano algorytm obliczeniowy w celu znalezienia optymalnego rozwiązania przy zastosowaniu oprogramowania LINGO 13.0. Wyniki i wnioski: Wyniki analizy matematycznej umożliwiają osobom podejmującym decyzję określenie wielkości wpływu psucia się zapasów na optymalizację zysku netto detalisty. Przeprowadzono również analizę wrażliwości dla optymalnego rozwiązania uwzględniając istotne parametry. Przedstawiono dowody, że podejmowanie decyzji na zasadzie prawdopodobieństwa jest istotniejsze w procesie maksymalizacji zysku od decyzji typu Crisp.

Słowa kluczowe

EN

optimization; fuzzy; FEOQ; deterioration; units lost

PL

optymalizacja; FEOQ; psucie się; straty jednostkowe

• Wydawca: Wyższa Szkoła Logistyki
• Czasopismo: LogForum
• Rocznik: 2014
• Tom: Vol. 10, no. 3
• Strony: 247--262
• Opis fizyczny: Bibliogr. 48 poz., tab., wykr.

Twórcy

autor

Pattnaik M.

• Department of Business Administration Utkal University, Bhubaneswar India-751004

Bibliografia

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