Developing a partial backlogging deteriorating inventory model with selling price dependant demand rate and cycle length dependant selling price

Author(s):  
A. Haji ◽  
H. Sabahno ◽  
R. Haji
2012 ◽  
Vol 1 (2) ◽  
pp. 53-79
Author(s):  
Chandra K. Jaggi ◽  
Sarla Pareek ◽  
Anuj Sharma ◽  
Nidhi

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.


Author(s):  
Nita H. Shah ◽  
Sarla Pareek ◽  
Isha Sangal

This paper deals with the problem of determining the EOQ model for deteriorating items in the fuzzy sense where delay in payments is permissible. The demand rate, ordering cost, selling price per item and deterioration rate are taken as fuzzy numbers. The total variable cost in fuzzy sense is de-fuzzified using the centre of gravity method. The solution procedure has been explained with the help of numerical example.


2016 ◽  
Vol 10 (7) ◽  
pp. 74
Author(s):  
Pinky Saxena ◽  
S. R. Singh ◽  
Isha Sangal

<p>In this paper a multi item integrated inventory model is presented with reparability of returned items. It is assumed here that only a certain ratio of returned items can be repaired and the remaining stock of returned items is salvaged. By using these returned items, the waste can be reduced, which pollute the environment. This is a green supply chain where the demand for the products is selling price dependent and production rate is taken as a function of demand rate. The shortages are allowed here. A numerical example and sensitivity analysis are also presented to illustrate the model.</p>


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