Fuzzification of EOQ Model Under the Condition of Permissible Delay in Payments

2012 ◽  
Vol 3 (2) ◽  
pp. 1-19 ◽  
Author(s):  
Chandra K. Jaggi ◽  
Anuj Sharma ◽  
Reena Jain
Keyword(s):  
Fuzzy Numbers ◽  
Delay Period ◽  
Order Quantity ◽  
Distance Method ◽  
Permissible Delay In Payments ◽  
Signed Distance ◽  
Eoq Model ◽  
Fuzzy Environment ◽  
Delay In Payments ◽  
The Cost

This paper formulates an economic order quantity inventory model under the condition of permissible delay in payments in fuzzy environment. All the parameters of the model, excluding permissible delay period and cycle length, are taken to be trapezoidal Fuzzy numbers. The arithmetic operations are defined under the function principle. The cost function has been defuzzified using signed distance method and thereby solved to obtain the optimal replenishment period. The numerical example is presented to show the validity of the model followed by sensitivity analysis.

EOQ Model with Permissible Delay in Payments under Fuzzy Environment

2014 ◽  
pp. 281-296
Author(s):  
Chandra K. Jaggi ◽  
Anuj Sharma ◽  
Reena Jain
Keyword(s):  
Cycle Length ◽  
Delay Period ◽  
Order Quantity ◽  
Distance Method ◽  
Permissible Delay In Payments ◽  
Signed Distance ◽  
Eoq Model ◽  
Fuzzy Environment ◽  
Delay In Payments ◽  
The Cost

This chapter introduces an economic order quantity inventory model under the condition of permissible delay in payments in fuzzy environment. All the parameters of the model, excluding permissible delay period and cycle length, are taken to be trapezoidal Fuzzy numbers. The arithmetic operations are defined under the function principle. The cost function has been defuzzified using signed distance method and thereby solved to obtain the optimal replenishment period. The numerical example is presented to show the validity of the model followed by sensitivity analysis.

scholarly journals Inventory Model with Demand Dependant on Unit Cost- Input Parameters as Triangular Fuzzy Numbers

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
R. Kasthuri, Et. al.
Keyword(s):  
Fuzzy Numbers ◽  
Unit Cost ◽  
Inventory Model ◽  
Average Total Cost ◽  
Triangular Fuzzy Numbers ◽  
Lot Size ◽  
Distance Method ◽  
Total Cost ◽  
Signed Distance ◽  
Fuzzy Environment

This paper considers an inventory model in which the shortages are backlogged and the demand is dependent on unit cost. An optimum value for average total cost is calculated by considering various input costs, lot size and maximum inventory under fuzzy environment. The process of defuzzification is done by using the signed distance method. Numerical example and sensitivity analysis is given for calculating both crisp and fuzzy values of the total cost.

ECONOMIC ORDER QUANTITY UNDER CONDITIONS OF A ONE-TIME-ONLY EXTENDED PERMISSIBLE DELAY PERIOD IN PAYMENTS

2008 ◽  
Vol 25 (02) ◽  
pp. 267-277 ◽  
Author(s):  
SURESH KUMAR GOYAL ◽  
CHUN-TAO CHANG
Keyword(s):  
Business Environment ◽  
Delay Period ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Order Quantity ◽  
Permissible Delay In Payments ◽  
Numerical Examples ◽  
Delay In Payments ◽  
Theoretical Results ◽  
Special Order

In today's business environment, a supplier usually offers customers a permissible delay for settling outstanding account balance for the goods supplied. However, a supplier on occasion may allow this permissible delay in payments to be more than the usual during a given specified period. In this paper, we establish an appropriate model for a customer to determine its optimal special order quantity when the supplier offers a special extended permissible delay for one time only during a specified period. We then establish two theorems for a customer to find the optimal special order quantity. Finally, several numerical examples are given to illustrate the theoretical results.

scholarly journals Inventory Model with Demand Dependant on Unit Cost- Input Parameters as Triangular Fuzzy Numbers

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
R. Kasthuria
Keyword(s):  
Fuzzy Numbers ◽  
Unit Cost ◽  
Inventory Model ◽  
Average Total Cost ◽  
Triangular Fuzzy Numbers ◽  
Lot Size ◽  
Distance Method ◽  
Total Cost ◽  
Signed Distance ◽  
Fuzzy Environment

This paper considers an inventory model in which the shortages are backlogged and the demand is dependent on unit cost. An optimum value for average total cost is calculated by considering various input costs, lot size and maximum inventory under fuzzy environment. The process of defuzzification is done by using the signed distance method. Numerical example and sensitivity analysis is given for calculating both crisp and fuzzy values of the total cost.

scholarly journals Determination of Economic Order Quantity in a fuzzy EOQ Model using of GMIR Deffuzification

2017 ◽  
Vol 2 (1) ◽  
pp. 76 ◽  
Author(s):  
Hamidreza Salmani Mojaveri ◽  
Vahid Moghimi
Keyword(s):  
Inventory Control ◽  
Fuzzy Numbers ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Order Quantity ◽  
Control Policies ◽  
Eoq Model ◽  
Cost System ◽  
The Cost

Inappropriate inventory control policies and its incorrect implementation can cause improper operation and uncompetitive advantage of organization logistic operation in the market. Therefore, analysis inventory control policies are important to be understood, including carrying cost, ordering cost, warehouse renting cost, and buying cost. In this research, Economic Order Quantity (EOQ) problem in fuzzy condition is reviewed in two different situations. The first model concerned to costs (carrying cost, ordering cost, warehouse renting cost and buying cost), which is considered as triangular fuzzy numbers. The second model was in addition to inventory the cost system, in which annual demand is also reviewed as fuzzy numbers. In each model, graded mean integration representation (GMIR) deffuzification was used for parameters deffuzification. Then, the final objective from this analysis was to obtain economic quantity formula through derivation.

An Inventory Ordering Model with Different Defuzzification Techniques Under Inflation

2020 ◽  
Vol 17 (6) ◽  
pp. 2621-2625
Author(s):  
Rajesh Kumar Gupta ◽  
Seema Saxena ◽  
Vikramjeet Singh ◽  
Pushpinder Singh ◽  
Nitin Kumar Mishra
Keyword(s):  
Fuzzy Numbers ◽  
Number System ◽  
Inventory Problem ◽  
Fuzzy Logics ◽  
Distance Method ◽  
Problem Model ◽  
Signed Distance ◽  
Fuzzy Inventory ◽  
Cost Parameters ◽  
The Cost

The various cost associated with the inventory model are not fixed in nature. These vary as per the current market conditions. A crisp inventory problem framework includes these parameters with fixed value. Fuzzy logics incorporate in it the uncertainties that are prevailing in the market for these parameters. Thus a fuzzy inventory problem model presents a more accurate measure for the optimality of the inventory problem. In the current inventory problem discussed under an inflationary backdrop, pentagonal and hexagonal fuzzy numbers are used to define the inexactness in the cost parameters. The defuzzification of the fuzzified total cost is done using signed distance method. A comparative study is done for the final cost of the crisp inventory problem with the defuzzified cost value of the problem under pentagonal and hexagonal number system. Numerical solution validate the result. Logical insights developed in the problem are analyzed with the numericals done.

scholarly journals Retailer's EOQ Model with Limited Storage Space Under Partially Permissible Delay in Payments

2007 ◽  
Vol 2007 ◽  
pp. 1-18 ◽  
Author(s):  
Yung-Fu Huang ◽  
Chih-Sung Lai ◽  
Maw-Liann Shyu
Keyword(s):  
Lot Sizing ◽  
Cost Minimization ◽  
Optimal Order ◽  
Storage Space ◽  
Order Quantity ◽  
Permissible Delay In Payments ◽  
Eoq Model ◽  
Replenishment Policy ◽  
Cost Minimization Problem ◽  
Delay In Payments

The main purpose of this paper wants to investigate the optimal retailer's lot-sizing policy with two warehouses under partially permissible delay in payments within the economic order quantity (EOQ) framework. In this paper, we want to extend that fully permissible delay in payments to the supplier would offer the retailer partially permissible delay in payments. That is, the retailer must make a partial payment to the supplier when the order is received. Then the retailer must pay off the remaining balance at the end of the permissible delay period. In addition, we want to add the assumption that the retailer's storage space is limited. That is, the retailer will rent the warehouse to store these exceeding items when the order quantity is larger than retailer's storage space. Under these conditions, we model the retailer's inventory system as a cost minimization problem to determine the retailer's optimal cycle time and optimal order quantity. Three theorems are developed to efficiently determine the optimal replenishment policy for the retailer. Finally, numerical examples are given to illustrate these theorems and obtained a lot of managerial insights.

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