A Fuzzy Inventory Model of Deteriorating Items with Stock-dependent Demand under Limited Storage Space

OPSEARCH ◽  
1998 ◽  
Vol 35 (4) ◽  
pp. 323-337 ◽  
Author(s):  
M. Mandal ◽  
T. K. Roy ◽  
M. Maiti
Keyword(s):  
Inventory Model ◽  
Deteriorating Items ◽  
Storage Space ◽  
Stock Dependent Demand ◽  
Fuzzy Inventory ◽  
Dependent Demand ◽  
Fuzzy Inventory Model

A Fuzzy Inventory Model for Weibull Deteriorating Items with Price-Dependent Demand and Shortages under Permissible Delay in Payment

2012 ◽  
Vol 1 (2) ◽  
pp. 53-79
Author(s):  
Chandra K. Jaggi ◽  
Sarla Pareek ◽  
Anuj Sharma ◽  
Nidhi
Keyword(s):  
Cycle Length ◽  
Optimal Solution ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Selling Price ◽  
Profit Function ◽  
Permissible Delay In Payment ◽  
Fuzzy Inventory ◽  
Dependent Demand ◽  
Fuzzy Inventory Model

In this paper, a fuzzy inventory model is formulated for deteriorating items with price dependent demand under the consideration of permissible delay in payment. A two parameter Weibull distribution is taken to represent the time to deterioration. Shortages are allowed and completely backlogged. For Fuzzification of the model, the demand rate, holding cost, unit purchase cost, deterioration rate, ordering cost, shortage cost, interest earn and interest paid are assumed to be triangular fuzzy numbers. As a result, the profit function will be derived in fuzzy sense in order to obtain the optimal stock-in period, cycle length and the selling price. The graded mean integration method is used to defuzzify the profit function. Then, to test the validity of the model a numerical example is considered and solved. Finally, to study the effect of changes of different parameters on the optimal solution i.e. average profit, order quantity, stock-in period, cycle length and selling price, sensitivity analysis are performed.

scholarly journals Inventory model of deteriorating items with two-warehouse and stock dependent demand using genetic algorithm in fuzzy environment

2012 ◽  
Vol 22 (1) ◽  
pp. 51-78 ◽  
Author(s):  
Dharmendra Yadav ◽  
S.R. Singh ◽  
Rachna Kumari
Keyword(s):  
Genetic Algorithm ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Market Place ◽  
Time Value Of Money ◽  
Fuzzy Environment ◽  
Purchase Cost ◽  
Stock Dependent Demand ◽  
Fuzzy Goal ◽  
Dependent Demand

Multi-item inventory model for deteriorating items with stock dependent demand under two-warehouse system is developed in fuzzy environment (purchase cost, investment amount and storehouse capacity are imprecise ) under inflation and time value of money. For display and storage, the retailers hire one warehouse of finite capacity at market place, treated as their own warehouse (OW), and another warehouse of imprecise capacity which may be required at some place distant from the market, treated as a rented warehouse (RW). 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) functions as well as some constraints are imprecise in nature, too. The model is formulated so to optimize the possibility/necessity measure of the fuzzy goal of the objective functions, and the constraints satisfy some pre-defined necessity. A genetic algorithm (GA) is used to solve the model, which is illustrated on a numerical example.

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