An Inventory Model with Pareto Distribution Deterioration with Weibull Demand Rate and Time-Dependent Shortages

2022 ◽  
pp. 503-515
Author(s):  
S. Sindhuja ◽  
P. Arathi
Keyword(s):  
Pareto Distribution ◽  
Inventory Model ◽  
Time Dependent ◽  
Demand Rate

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.

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.

scholarly journals A Fuzzy type Backlogging Production Inventory Model for Perishable Items with Time Dependent Exponential Demand Rate

2021 ◽  
Vol 33 (4) ◽  
pp. 51-65
Author(s):  
SUSHIL KUMAR ◽  
Keyword(s):  
Inventory Model ◽  
Time Dependent ◽  
Planning And Scheduling ◽  
Perishable Items ◽  
Economic Production ◽  
Production Inventory ◽  
Demand Rate ◽  
Total Profit ◽  
Epq Model ◽  
Production Quantity

Production inventory models have an important role in production planning and scheduling. In any economic production quantity (EPQ) model, the production rate is dependent on demand. In this paper we have established a production inventory model for perishable items with partial backlogging and time dependent exponential demand rate. Allowing shortage, it is partially backlogged. The unsatisfied demand is backlogged and it is considered a function of waiting time. The aim of our study is to optimizing the total profit during a given cycle. A numerical example is given in showing the applicability of the developed model.

Sign in / Sign up

Export Citation Format

Share Document