Use of “e” and “g” operators to a fuzzy production inventory control model for substitute items
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 473-486.

In this paper, a fuzzy optimal control model for substitute items with stock and selling price dependent demand has been developed. Here the state variables (stocks) are assumed to be fuzzy variables. So the proposed dynamic control system can be represented as a fuzzy differential system which optimize the profit of the production inventory control model through Pontryagin’s maximum principle. The proposed fuzzy control problem has been transformed into an equivalent crisp differential system using “e” and “g” operators. The deterministic system is then solved by using Newton’s forward-backward method through MATLAB. Finally some numerical results are presented both in tabular and graphical form.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2017047
Classification : 49J15, 90C70
Mots-clés : Fuzzy dynamical system, “e” and “g” operators, Production-inventory control, Substitute items, Stock and selling price dependent demand
Khatua, Debnarayan 1 ; De, Anupam 1 ; Maity, Kalipada 1 ; Kar, Samarjit 1

1 
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     title = {Use of {\textquotedblleft}e{\textquotedblright} and {\textquotedblleft}g{\textquotedblright} operators to a fuzzy production inventory control model for substitute items},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {473--486},
     publisher = {EDP-Sciences},
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Khatua, Debnarayan; De, Anupam; Maity, Kalipada; Kar, Samarjit. Use of “e” and “g” operators to a fuzzy production inventory control model for substitute items. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 2, pp. 473-486. doi : 10.1051/ro/2017047. http://www.numdam.org/articles/10.1051/ro/2017047/

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