scholarly journals Fuzzy inventory models with partial backordering for deteriorating items under stochastic inflationary conditions: Comparative comparison of the modeling methods

2019 ◽  
Vol 6 (1) ◽  
pp. 1648630
Author(s):  
Shabnam Fathalizadeh ◽  
Abolfazl Mirzazadeh ◽  
Ali Ghodratnama ◽  
Wenjun Xu
Author(s):  
Anant Tiwari, Dr. Amit Kumar Vats

Generally, the fuzzy set concept could be used to deal with the problems with the qualities of ambiguity as well as vagueness. In the decision making process, the reference comparisons for criteria & options tend to be more appropriate to make use of the linguistic variables rather than crisp values in some instances. Meanwhile, the GMIR technique is utilized for the constrained trouble construction to derive the weights of options & criteria, which accomplishes the extension of fuzzy environment. Here in this paper we will study about some basic terms related to K-preference Graded Integration method. We will discuss the fuzzy inventory models under decision maker’s preference (k-preference), and find the optimal solutions of these models, the optimal crisp order quantity or the optimal fuzzy order quantity.


2006 ◽  
Vol 23 (03) ◽  
pp. 347-370 ◽  
Author(s):  
KUN-JEN CHUNG ◽  
TIEN-SHOU HUANG

Inventory models with deteriorating items have received considerable attention in recent years. In considering the deteriorating inventory with permissible delay in payments, most researchers pay attention to a single warehouse. Under conditions of permissible delay in payments, this paper develops a model to determine the optimal cycle time for a single deteriorating item that is stored in two different warehouses. A rented warehouse (RW) is used to store the excess units over the fixed capacity W of the owned warehouse (OW). The rented warehouse is assumed to charge higher unit holding cost than the OW. In this paper, we propose a two-warehouse inventory model for deteriorating items under permissible delay in payments. It is assumed that the deterioration rate in RW is the same as in OW, and the holding cost in RW is greater than that in OW. The stocks of RW are transported to OW in continuous release pattern and the transportation cost is ignored. Three theorems are developed to determine the optimal cycle time and numerical examples are given to illustrate these theorems.


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