Paper Info
Title
A production inventory model with stock dependent demand incorporating learning and inflationary effect in a random planning horizon: A fuzzy genetic algorithm with varying population size approach
Abstract
A production inventory model for a newly launched product is developed incorporating inflation and time value of money. It is assumed that demand of the item is displayed stock dependent and lifetime of the product is random in nature and follows exponential distribution with a known mean. Here learning effect on production and setup cost is incorporated. Model is formulated to maximize the expected profit from the whole planning horizon. Following [Last, M. & Eyal, S. (2005). A fuzzy-based lifetime extension of genetic algorithms. Fuzzy Sets and Systems, 149, 131-147], a genetic algorithm (GA) with varying population size is used to solve the model where crossover probability is a function of parent's age-type (young, middle-aged, old, etc.) and is obtained using a fuzzy rule base and possibility theory. In this GA a subset of better children is included with the parent population for next generation and size of this subset is a percentage of the size of its parent set. This GA is named fuzzy genetic algorithm (FGA) and is used to make decision for above production inventory model in different cases. The model is illustrated with some numerical data. Sensitivity analysis on expected profit function is also presented. Performance of this GA with respect to some other GAs are compared.
Year
DOI
Venue
2009
10.1016/j.cie.2009.07.008
Computers & Industrial Engineering
Keywords
Field
DocType
random planning horizon,inflationary effect,genetic algorithm,inflation,learning effect,parent population,parent set,time value of money,fuzzy genetic algorithm,stock dependent demand,fuzzy rule base,production inventory model,genetic algorithm with varying population size,expected profit function,expected profit,fuzzy-based lifetime extension,varying population size,population size,exponential distribution,possibility theory,sensitivity analysis,profitability,fuzzy set
Population,Mathematical optimization,Economics,Crossover,Time horizon,Fuzzy logic,Fuzzy set,Possibility theory,Exponential distribution,Operations management,Fuzzy rule
Journal
Volume
Issue
ISSN
57
4
Computers & Industrial Engineering
Citations 
PageRank 
References 
12
0.71
6
Authors
3
Name
Order
Citations
PageRank
Arindam Roy1716.23
Sova Pal2242.44
Manas Kumar Maiti323620.68