scholarly journals An EOQ model with time dependent Weibull deterioration and ramp type demand

2011 ◽  
Vol 2 (2) ◽  
pp. 307-318 ◽  
Author(s):  
Chaitanya Kumar Tripathy ◽  
Umakanta Mishra
Keyword(s):  
Time Dependent ◽  
Eoq Model ◽  
Ramp Type Demand

scholarly journals INITIAL-VALUED FIRST-ORDER FUZZY DIFFERENTIAL EQUATION IN BI-LEVEL INVENTORY MODEL WITH FUZZY DEMAND

2008 ◽  
Vol 13 (4) ◽  
pp. 493-512 ◽  
Author(s):  
Barun Das ◽  
Nirmal Kumar Mahapatra ◽  
Manoranjan Maiti
Keyword(s):  
Differential Equation ◽  
Time Dependent ◽  
Fuzzy Differential Equation ◽  
Fuzzy Decision Making ◽  
Extension Principle ◽  
Selling Price ◽  
Inventory Problem ◽  
Fuzzy Decision ◽  
Eoq Model ◽  
Multi Objective Genetic Algorithm

In the present paper, two methods for the solution of an initial valued first ordered fuzzy differential equation are presented and applied in a fuzzy EOQ model. The constructed model is a bi‐level inventory problem involving wholesaler‐retailers‐customers. The wholesaler buys and sells the item instantaneously to several retailers. In the next level, the retailers sell the units to customers with a time dependent imprecise demand, which introduce the fuzzy nature in the differential equation. The selling price of the item is a step‐wise time dependent decreasing function. The fuzzy objectives are transformed into crisp one following fuzzy extension principle and centroid formula. The model is illustrated through Interactive Fuzzy Decision Making (IFDM) and Multi Objective Genetic Algorithm (MOGA) and the results from two methods are compared.

scholarly journals A study of inflation effects on an EOQ model for Weibull deteriorating/ameliorating items with ramp type of demand and shortages

2013 ◽  
Vol 23 (3) ◽  
pp. 441-455 ◽  
Author(s):  
M. Valliathal ◽  
R. Uthayakumar
Keyword(s):  
Computer Software ◽  
Optimal Solution ◽  
Solution Procedure ◽  
Inventory Level ◽  
Decision Variable ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Ramp Type Demand

This paper deals with the effects of inflation and time discounting on an inventory model with general ramp type demand rate, time dependent (Weibull) deterioration rate and partial backlogging of unsatisfied demand. The model is studied under the replenishment policy, starting with shortages under two different types of backlogging rates, and their comparative study is also provided. We then use the computer software, MATLto find the optimal replenishment policies. Duration of positive inventory level is taken as the decision variable to minimize the total cost of the proposed system. Numerical examples are then taken to illustrate the solution procedure. Finally, sensitivity of the optimal solution to changes of the values of different system parameters is also studied.

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