Title
Fuzzy inventory model with two warehouses under possibility measure on fuzzy goal
Abstract
Multi-item inventory model with stock-dependent demand and two-storage facilities is developed in fuzzy environment (purchase cost, investment amount and storehouse capacity are imprecise) under inflation and time value of money. Joint replenishment and simultaneous transfer of items from one warehouse to another is proposed using basic period (BP) policy. As some parameters are fuzzy in nature, objective (average profit) function as well as some constraints are imprecise in nature. Model is formulated as to optimize the possibility/necessity measure of the fuzzy goal of the objective function and constraints are satisfied with some pre-defined necessity. A genetic algorithm (GA) is developed with roulette wheel selection, binary crossover and mutation and is used to solve the model when the equivalent crisp form of the model is available. In other cases fuzzy simulation process is proposed to measure possibility/necessity of the fuzzy goal as well as to check the constraints of the problem and finally the model is solved using fuzzy simulation based genetic algorithm (FSGA). The models are illustrated with some numerical examples and some sensitivity analyses have been done.
Year
DOI
Venue
2008
10.1016/j.ejor.2007.04.046
European Journal of Operational Research
Keywords
Field
DocType
Possibility measure,Necessity measure,Fuzzy simulation,Genetic algorithm
Mathematical optimization,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy logic,Operations research,Fuzzy transportation,Fitness proportionate selection,Fuzzy number,Mathematics,Operations management,Genetic algorithm
Journal
Volume
Issue
ISSN
188
3
0377-2217
Citations 
PageRank 
References 
12
0.58
14
Authors
1
Name
Order
Citations
PageRank
Manas Kumar Maiti123620.68