Inventory system with price dependent consumption for deteriorating items with shortages under fuzzy environment

2021 ◽  
Vol 7 (3) ◽  
pp. 218
Author(s):  
Surendra Vikram Singh Padiyar ◽  
S.R. Singh ◽  
Neha Punetha
Keyword(s):  
Inventory System ◽  
Deteriorating Items ◽  
Fuzzy Environment

scholarly journals Vendor-Buyers relationship model for deteriorating items with shortages, fuzzy trapezoidal costs and inflation

2013 ◽  
Vol 23 (1) ◽  
pp. 73-85 ◽  
Author(s):  
Chaman Singh ◽  
S.R. Singh
Keyword(s):  
Optimal Policy ◽  
Fuzzy Numbers ◽  
Deteriorating Items ◽  
Inventory Cost ◽  
Fuzzy Environment ◽  
Relationship Model ◽  
Present Worth ◽  
Total Inventory ◽  
Integrated Cost ◽  
Representation Method

In this paper, an integrated inventory model is developed from the perspective of a single vendor and multi-buyers for deteriorating items under fuzzy environment and inflation. In the development of the model, it is assumed that all costs parameters, demand and the production rates are imprecise in nature; they are represented by the trapezoidal fuzzy numbers, as these parameters are not constant and can be disturbed due to daily market changes. We use function principle as arithmetic operations to find the total inventory cost in fuzzy sense and Graded Mean - Integration Representation Method to defuzzify the fuzzy total inventory cost. Inflation is used to find the present worth of total cost. Since the optimal policy of buyers may not be the most economical for a vendor, thus to deal with this situation, integrated cost policy is used to reach the optimal policy. Finally, a numerical example is given to illustrate the model.

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.

Retailer Ordering Policy for Deteriorating Items with Initial Inspection and Allowable Shortage Under the Condition of Permissible Delay in Payments

2012 ◽  
Vol 1 (1) ◽  
pp. 64-79 ◽  
Author(s):  
Chandra K. Jaggi ◽  
Mandeep Mittal
Keyword(s):  
Inventory Model ◽  
Inventory System ◽  
Deteriorating Items ◽  
Permissible Delay In Payments ◽  
Numerical Example ◽  
Ordering Policy ◽  
Delay In Payments ◽  
The Impact ◽  
Single Commodity

While developing the inventory model with shortages under permissible delay in payments, it has been observed in the literature, the researchers have not considered the fact that the retailer can earn interest on the revenue generated after fulfilling the outstanding demand as soon as he receives the new consignment at the start of the cycle. Owing to this fact, the present paper investigates the impact of interest earned from revenue generated after fulfilling the stock out at the start of the cycle on a single commodity inventory model with shortages for deteriorating item, in which the whole lot goes through an inspection on arrival before entering into inventory system, under the conditions of permissible delay in payments. The results have been demonstrated with the help of a numerical example using the tools of Matlab7.0.1.

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