Title
Two storage inventory model with fuzzy deterioration over a random planning horizon
Abstract
An inventory model for a deteriorating item with stock dependent demand is developed under two storage facilities over a random planning horizon, which is assumed to follow exponential distribution with known parameter. For crisp deterioration rate, the expected profit is derived and maximized via genetic algorithm (GA). On the other hand, when deterioration rate is imprecise then optimistic/pessimistic equivalent of fuzzy objective function is obtained using possibility/necessity measure of fuzzy event. Fuzzy simulation process is proposed to maximize the optimistic/pessimistic return and finally fuzzy simulation-based GA is developed to solve the model. The models are illustrated with some numerical data. Sensitivity analyses on expected profit function with respect to distribution parameter @l and confidence levels @a"1 and @a"2 are also presented.
Year
DOI
Venue
2007
10.1016/j.mcm.2007.02.017
Mathematical and Computer Modelling
Keywords
Field
DocType
necessity,fuzzy simulation-based ga,fuzzy deterioration rate,fuzzy objective function,distribution parameter,exponential distribution,fuzzy deterioration,stochastic planning horizon,fuzzy event,crisp deterioration rate,fuzzy simulation process,deterioration rate,storage inventory model,expected profit function,expected profit,random planning horizon,possibility,profitability,objective function,genetic algorithm,confidence level
Mathematical optimization,Time horizon,Fuzzy logic,Exponential distribution,Fuzzy number,Distribution function,Genetic algorithm,Mathematics,Fuzzy objective function
Journal
Volume
Issue
ISSN
46
11-12
Mathematical and Computer Modelling
Citations 
PageRank 
References 
14
0.88
7
Authors
4
Name
Order
Citations
PageRank
Arindam Roy1716.23
Manas Kumar Maiti223620.68
Samarjit Kar360863.41
Manoranjan Maiti451447.77