Recently, various deterministic inventory models were developed for deteriorating items with the uniform demand pattern (either increasing or decreasing) throughout the cycle. However, such types of models are not suitable for many real business problems. In particular, the demand patterns of various items are not steady throughout the cycle. In many inventory models, ordinarily, the demand rises first, then it becomes static and finally decreases, and such types of demands can be portrayed by considering trapezoidal functions. Moreover, the costs associated with the inventory become imprecise due to several socio-economical factors. As a result, the optimal solution obtained by the classical inventory model may not fit the actual scenario. Keeping this in view, we develop here an inventory model for deteriorating items having the trapezoidal type of demand function in both crisp and fuzzy environments by considering three possible cases of shortages which are completely backlogged. Furthermore, in view of the comparative study of both scenarios, different data sets of constraints are examined for optimal results. Also, it is observed that the optimal results of the fuzzy model are more appropriate to real-world inventory problems. Finally, in order to strengthen the present investigation, the managerial insight of fluctuation in parameters is presented analytically via sensitivity analysis.
Keywords: Inventory model, trapezoidal demand, signed distance method
@article{RO_2022__56_3_1969_0,
author = {Anil Kumar, Boina and Paikray, Susanta Kumar},
title = {Cost optimization inventory model for deteriorating items with trapezoidal demand rate under completely backlogged shortages in crisp and fuzzy environment},
journal = {RAIRO. Operations Research},
pages = {1969--1994},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {3},
doi = {10.1051/ro/2022068},
mrnumber = {4445942},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022068/}
}
TY - JOUR AU - Anil Kumar, Boina AU - Paikray, Susanta Kumar TI - Cost optimization inventory model for deteriorating items with trapezoidal demand rate under completely backlogged shortages in crisp and fuzzy environment JO - RAIRO. Operations Research PY - 2022 SP - 1969 EP - 1994 VL - 56 IS - 3 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022068/ DO - 10.1051/ro/2022068 LA - en ID - RO_2022__56_3_1969_0 ER -
%0 Journal Article %A Anil Kumar, Boina %A Paikray, Susanta Kumar %T Cost optimization inventory model for deteriorating items with trapezoidal demand rate under completely backlogged shortages in crisp and fuzzy environment %J RAIRO. Operations Research %D 2022 %P 1969-1994 %V 56 %N 3 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022068/ %R 10.1051/ro/2022068 %G en %F RO_2022__56_3_1969_0
Anil Kumar, Boina; Paikray, Susanta Kumar. Cost optimization inventory model for deteriorating items with trapezoidal demand rate under completely backlogged shortages in crisp and fuzzy environment. RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1969-1994. doi: 10.1051/ro/2022068
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