scholarly journals A New Mathematical Inventory Model with Stochastic and Fuzzy Deterioration Rate under Inflation

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Bahar Naserabadi ◽  
Abolfazl Mirzazadeh ◽  
Sara Nodoust
Keyword(s):  
Lead Time ◽  
Inflation Rate ◽  
Inventory Model ◽  
Time Dependent ◽  
Nonincreasing Function ◽  
Deterioration Rate ◽  
Fuzzy Function ◽  
First Case ◽  
Replenishment Policy ◽  
Demand Rate

This paper develops an inventory model for items with uncertain deterioration rate, time-dependent demand rate with nonincreasing function, and allowable shortage under fuzzy inflationary situation. The goods are not deteriorating upon reception, but the deteriorating starts after elapsing a specified time. The lead time and inflation rate are both uncertain in the model. The resultant effect of inflation and time value of money is assumed to be fuzzy in nature and also we consider lead time as a fuzzy function of order quantity. Furthermore the following different deterioration rates have been considered: for the first case we consider fuzzy deterioration rate and for the second case we assume that the deterioration rate is time dependent and follows Weibull distribution with three known parameters. Since the inflation rate, deterioration rate, and the lead time are fuzzy numbers, the objective function becomes fuzzy. Therefore the estimate of total costs for each case is derived using signed distance technique for defuzzification. The optimal replenishment policy for the model is to minimize the total present value of inventory system costs, derived for both the above mentioned policies. Numerical examples are then presented to illustrate how the proposed model is applied.

scholarly journals Order Level Inventory Models for Deteriorating Seasonable/Fashionable Products with Time Dependent Demand and Shortages

2009 ◽  
Vol 2009 ◽  
pp. 1-24 ◽  
Author(s):  
K. Skouri ◽  
I. Konstantaras
Keyword(s):  
Inventory Model ◽  
Time Dependent ◽  
Inventory Models ◽  
Deterioration Rate ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Increasing Demand ◽  
Ramp Type Demand ◽  
Unsatisfied Demand ◽  
Dependent Demand

An order level inventory model for seasonable/fashionable products subject to a period of increasing demand followed by a period of level demand and then by a period of decreasing demand rate (three branches ramp type demand rate) is considered. The unsatisfied demand is partially backlogged with a time dependent backlogging rate. In addition, the product deteriorates with a time dependent, namely, Weibull, deterioration rate. The model is studied under the following different replenishment policies: (a) starting with no shortages and (b) starting with shortages. The optimal replenishment policy for the model is derived for both the above mentioned policies.

An Optimal Policy for Items with Linear Demand Rate, Variable Deterioration Rate Under Shortage and Lead-Time

2021 ◽  
Vol 23 (06) ◽  
pp. 1-9
Author(s):  
Bhawna Gupta ◽  
◽  
Sangeeta Gupta ◽  
Sweta Srivastav ◽  
◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Policy ◽  
Average Cost ◽  
Lead Time ◽  
Inventory Model ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Linear Demand ◽  
Total Average Cost ◽  
Total Average

In this research, we have developed a deterministic inventory model for an item having linear demand in variable deterioration rate. The shortage is allowed and fully backlogged. In developing the model, we have assumed that lead time is not equal to zero. Here we developed an optimal policy that minimizes that the total average cost. The model is illustrated by a suitable numerical example and sensitivity analysis has been carry- out.

A Time Dependent Order Level Inventory Model for Beta Deterioration in Two Warehouse Systems

2015 ◽  
Vol 6 (2) ◽  
pp. 53-69 ◽  
Author(s):  
Soumendra Kumar Patra ◽  
Tapan Kumar Lenka ◽  
Er. Purna Chandra Ratha
Keyword(s):  
The Other ◽  
Time Dependent ◽  
Inventory Problem ◽  
Time Value Of Money ◽  
Continuous Release ◽  
Time Value ◽  
Distribution Form ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Value Of Money

An inventory problem for a deteriorating item having two separate warehouses is developed under time value of money, whereby one is an own warehouse (OW) of finite dimension(s) and the other is rented warehouse (RW) of infinite dimension(s). Deterioration rate of items in the two warehouses may be different, which is time dependent and deterioration is in the mean beta distribution form. In this study, shortages and complete backlogging have been considered as the other items, whereby the demand rate of items is linear with time in OW and the same is linear with price in case of RW. Also, the stocks of RW transported to OW in continuous release pattern.

A fuzzy imperfect production and repair inventory model with time dependent demand, production and repair rates under inflationary conditions

2018 ◽  
Vol 52 (1) ◽  
pp. 217-239 ◽  
Author(s):  
Shalini Jain ◽  
Sunil Tiwari ◽  
Leopoldo Eduardo Cárdenas-Barrón ◽  
Ali Akbar Shaikh ◽  
Shiv Raj Singh
Keyword(s):  
Research Work ◽  
Repair Process ◽  
Inventory Model ◽  
Time Dependent ◽  
Imperfect Production ◽  
Imperfect Items ◽  
Demand Rate ◽  
The Impact ◽  
Varying Demand ◽  
Dependent Demand

This research work derives an integrated inventory model for imperfect production/remanufacturing process with time varying demand, production and repair rates under inflationary environment. This inventory model deals with the joint manufacturing and remanufacturing options. There is a collection process devoted to collect used items with the aim to remanufacture them. Both production and repair runs generate imperfect items. The repair process remanufactures used and imperfect items. Further, it is also considered that the remanufactured item that is classified as good has exactly same quality as that of new one. Demand rate is supposed as time dependent. The production rate is assumed to be demand dependent and therefore it is also time dependent. The repair rate is supposed to be a function of time. All system costs are contemplated in uncertain environment. Therefore, the costs are considered as fuzzy nature. Theoretical results are illustrated thru a numerical example. Finally, a sensitivity analysis is performed in order to know the impact of different parameters on the optimal policy.

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