Fuzzy mixture inventory model involving fuzzy random variable lead time demand and fuzzy total demand

2006 ◽  
Vol 169 (1) ◽  
pp. 65-80 ◽  
Author(s):  
Hung-Chi Chang ◽  
Jing-Shing Yao ◽  
Liang-Yuh Ouyang
Keyword(s):  
Lead Time ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Inventory Model ◽  
Fuzzy Random

Continuous Review Inventory Model with Fuzzy Stochastic Demand and Variable Lead Time

2012 ◽  
Vol 1 (2) ◽  
pp. 7-24 ◽  
Author(s):  
Nita H. Shah ◽  
Hardik N. Soni
Keyword(s):  
Lead Time ◽  
Numerical Study ◽  
Fuzzy Random Variable ◽  
Inventory Model ◽  
Optimal Order ◽  
Expected Cost ◽  
Number Count ◽  
Continuous Review ◽  
Proposed Model ◽  
Fuzzy Random

The present study considers a continuous review inventory system for the inventory model involving fuzzy random demand, variable lead-time with backorders and lost sales. The authors first use the triangular fuzzy number count upon lead-time to construct a lead-time demand. Using credibility criterion, the expected shortages are calculated. Without loss of generality, the authors have assumed that all the observed values of the fuzzy random variable, representing the demand are triangular fuzzy numbers. Consequently, the value of total expected cost in the fuzzy sense is derived using the expected value criterion or credibility criterion. For the proposed model, the authors provide a solution to find the optimal lead-time and the optimal order quantity along with the reorder point such that the total expected cost in the fuzzy sense has a minimum value. Numerical study is also provided to illustrate the results of proposed model.

scholarly journals On Distribution Characteristics of a Fuzzy Random Variable

2018 ◽  
Vol 47 (2) ◽  
pp. 53-67 ◽  
Author(s):  
Jalal Chachi
Keyword(s):  
Probability Theory ◽  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Cumulative Distribution ◽  
Distribution Characteristics ◽  
Fuzzy Random Variables ◽  
Fuzzy Random

In this paper, rst a new notion of fuzzy random variables is introduced. Then, usingclassical techniques in Probability Theory, some aspects and results associated to a randomvariable (including expectation, variance, covariance, correlation coecient, etc.) will beextended to this new environment. Furthermore, within this framework, we can use thetools of general Probability Theory to dene fuzzy cumulative distribution function of afuzzy random variable.

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