Optimization in fuzzy economic order quantity (FEOQ) model with promotional effort cost and units lost due to deterioration

Gahan, P.; Pattnaik, M.

doi:10.17270/J.LOG.2017.1.6

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Tytuł artykułu

Optimization in fuzzy economic order quantity (FEOQ) model with promotional effort cost and units lost due to deterioration

Autorzy

Gahan P. , Pattnaik M.

Treść / Zawartość

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DOI

10.17270/J.LOG.2017.1.6

Warianty tytułu

Optymalizacja modelu rozmytej ekonomicznej wielkości zamówienia z efektem promocyjnym i stratą spowodowaną zniszczeniem

Języki publikacji

Abstrakty

Background: This model presents a significant model for analyzing the effect of deteriorating items and promotional effort in fuzzy optimal instantaneous replenishment model 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: This model postulates the promotional effort cost to frame total inventory cost. Thus a modified fuzzy EOQ (FEOQ) model with promotional effort factor 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 promotional effort and the 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 promotion policy on optimizing the net profit for the retailer and wasting the percentage of on-hand inventory due to deterioration respectively. 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 without promotional effort in terms of profit maximization.

Wstęp: Tematem pracy jest model istotności służący do analizy efektów zniszczenia towarów oraz efektu promocyjnego w modelu rozmytym ciągłego uzupełniania w określonym horyzoncie czasu. Głównym parametrem tworzenia modelu zarządzania zapasem w rozmytym środowisku jest zazwyczaj koszt jednostkowy na jednostkę zamówienia w określonej jednostce czasu. Te nieprecyzyjne parametry, oparte o oś liczb rzeczywistych, tworzą otoczenie, w którym stosuje się system zarządzania zapasem. Metody: Model określa wpływ promocyjny na całkowity koszt zapasu. W tym celu został stworzony rozmyty model ekonomicznej wielkości zakupu uwzględniający efekt promocyjny oraz procentowe zniszczenie zapasu, tak, aby osiągnąć maksymalny zysk netto. W trakcie analizy teoretycznej, niezbędne i wystarczające warunki istnienia i unikalności rozwiązań optymalizacyjnych wykazały słuszność dalszych badań nad funkcją rozmytej zyskowności netto. W celu znalezienie optymalnego rozwiązania stworzono algorytm przy użyciu oprogramowania LINGO 13.0. Wyniki i wnioski: Wyniki analizy numerycznej umożliwiają oszacowanie efektu polityki promocyjnej na optymalizację zysku netto dla detalisty jak również poziomu zniszczeń towaru. Również zostały przeprowadzone analizy wrażliwości uwzględniające najważniejsze parametry, które wykazały celowość stosowania proponowanej metody dla maksymalizacji zysku przy uwzględnieniu efektu promocyjnego.

Słowa kluczowe

logistics optimization fuzzy FEOQ promotion units lost deterioration

logistyka optymalizacja wielkość zamówienia ekonomiczna promocja straty zniszczenia

Wydawca

Wyższa Szkoła Logistyki

Czasopismo

LogForum

Rocznik

2017

Tom

Vol. 13, no. 1

Strony

61--76

Opis fizyczny

Bibliogr. 48 poz., rys., tab., wykr.

Twórcy

autor

Gahan P.

pgahan7@gmail.com

Dept. of Business Administration, Sambalpur University, Jyotivihar, Burla Sambalpur, India

autor

Pattnaik M.

monalisha_1977@yahoo.com

Dept. of Business Administration, Sambalpur University, Jyotivihar, Burla Sambalpur, India

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).

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Bibliografia

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