Retailer’s Pricing and Lot Sizing Policy for Non Deteriorating Items with Constant Demand Rate Under the Condition of Permissible Delay in Payments

2012 ◽  
Vol 3 (1) ◽  
pp. 74-84
Author(s):  
R. P. Tripathi ◽  
S. S. Misra
Keyword(s):  
Cycle Time ◽  
Lot Sizing ◽  
Deteriorating Items ◽  
Lot Size ◽  
Credit Period ◽  
Eoq Model ◽  
Develop Algorithm ◽  
Net Profit ◽  
Demand Rate ◽  
Delay In Payments

This study develops an EOQ model for retailer’s price and lot size simultaneously when the supplier permits delay in payments for an order of a product whose demand rate is a constant price elastic function for non-deteriorating items. In this study, mathematical models have been discussed under two different situations, i.e., case I: The credit period is less than or equal to cycle time for setting the account; and case II: The credit period is greater than the cycle time for setting the account. Expressions for an inventory system’s net profit are derived for these two cases. The authors develop algorithm for a retailer to determine its optimal price and lot size simultaneously, when supplier offers a permissible in payments.

scholarly journals A Lot-Size Model for Deteriorating Items under Conditions of a One-Time Only Extended Credit Period

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Nita H. Shah
Keyword(s):  
Mathematical Model ◽  
Cycle Time ◽  
Deteriorating Items ◽  
Special Period ◽  
Lot Size ◽  
Credit Period ◽  
Size Model ◽  
The Mathematical Model ◽  
Special Cycle ◽  
Theoretical Results

Now-a-days, the offer of credit period to the customer for settling the account for the units purchased by the supplier is considered to be the most beneficial policy. In this article, an attempt is made to formulate the mathematical model for a customer to determine optimal special cycle time when the supplier offers the special extended credit period for one time only during a special period. A decision policy for a retailer is developed to find optimal special cycle time. The theoretical results and effects of various parameters are studied by appropriate dataset.

scholarly journals Optimal Price and Lot Size for an EOQ Model with Full Backordering under Power Price and Time Dependent Demand

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1848
Author(s):  
Luis A. San-José ◽  
Joaquín Sicilia ◽  
Manuel González-de-la-Rosa ◽  
Jaime Febles-Acosta
Keyword(s):  
Lot Sizing ◽  
Optimal Solution ◽  
Selling Price ◽  
Inventory Problem ◽  
Lot Size ◽  
Power Functions ◽  
Eoq Model ◽  
Demand Rate ◽  
Parameter Values ◽  
Dependent Demand

In this paper, we address an inventory system where the demand rate multiplicatively combines the effects of time and selling price. It is assumed that the demand rate is the product of two power functions, one depending on the selling price and the other on the time elapsed since the last inventory replenishment. Shortages are allowed and fully backlogged. The aim is to obtain the lot sizing, the inventory cycle and the unit selling price that maximize the profit per unit time. To achieve this, two efficient algorithms are proposed to obtain the optimal solution to the inventory problem for all possible parameter values of the system. We solve several numerical examples to illustrate the theoretical results and the solution methodology. We also develop a numerical sensitivity analysis of the optimal inventory policy and the maximum profit with respect to the parameters of the demand function.

scholarly journals EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Jie Min ◽  
Jian Ou ◽  
Yuan-Guang Zhong ◽  
Xin-Bao Liu
Keyword(s):  
Trade Credit ◽  
Sufficient Conditions ◽  
Optimal Solution ◽  
Deteriorating Items ◽  
Order Quantity ◽  
Eoq Model ◽  
Demand Rate ◽  
Delay In Payments ◽  
Dependent Demand Rate ◽  
Dependent Demand

This paper develops a generalized inventory model for exponentially deteriorating items with current-stock-dependent demand rate and permissible delay in payments. In the model, the payment for the item must be made immediately if the order quantity is less than the predetermined quantity; otherwise, a fixed trade credit period is permitted. The maximization of the average profit per unit of time is taken as the inventory system’s objective. The necessary and sufficient conditions and some properties of the optimal solution to the model are developed. Simple solution procedures are proposed to efficiently determine the optimal ordering policies of the considered problem. Numerical example is also presented to illustrate the solution procedures obtained.

scholarly journals EOQ model for deteriorating items with exponential demand rate and shortages

2013 ◽  
Vol 1 (2) ◽  
pp. 67-76 ◽  
Author(s):  
H.S. Shukla ◽  
Vivek Shukla ◽  
Sushil Kumar Yadava
Keyword(s):  
Deteriorating Items ◽  
Eoq Model ◽  
Demand Rate

A Fuzzy EOQ Model for Deteriorating Items With Allowable Shortage and Inspection Under the Trade Credit

2018 ◽  
pp. 233-249
Author(s):  
Chandra K. Jaggi ◽  
Bimal Kumar Mishra ◽  
T. C. Panda
Keyword(s):  
Trade Credit ◽  
Method Comparison ◽  
Deteriorating Items ◽  
Order Quantity ◽  
Centroid Method ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Permissible Delay In Payment ◽  
Demand Rate ◽  
Fuzzy Cost

This chapter develops an economic order quantity model for deteriorating items with initial inspection, allowable shortage under the condition of permissible delay in payment by fuzzify the demand rate, deterioration rate and inspection parameter of non-defective parameter based on as triangular fuzzy numbers to fit the real word. The total fuzzy cost function has been defuzzified using signed distance and centroid method. Comparison between these two methods has also been discussed. The validity of the model has been established with the help of a hypothetical numerical example.

THE OPTIMAL CYCLE TIME FOR DETERIORATING ITEMS WITH LIMITED STORAGE CAPACITY UNDER PERMISSIBLE DELAY IN PAYMENTS

2006 ◽  
Vol 23 (03) ◽  
pp. 347-370 ◽  
Author(s):  
KUN-JEN CHUNG ◽  
TIEN-SHOU HUANG
Keyword(s):  
Cycle Time ◽  
Storage Capacity ◽  
Transportation Cost ◽  
Deteriorating Items ◽  
Inventory Models ◽  
Permissible Delay In Payments ◽  
Continuous Release ◽  
Deterioration Rate ◽  
Holding Cost ◽  
Delay In Payments

Inventory models with deteriorating items have received considerable attention in recent years. In considering the deteriorating inventory with permissible delay in payments, most researchers pay attention to a single warehouse. Under conditions of permissible delay in payments, this paper develops a model to determine the optimal cycle time for a single deteriorating item that is stored in two different warehouses. A rented warehouse (RW) is used to store the excess units over the fixed capacity W of the owned warehouse (OW). The rented warehouse is assumed to charge higher unit holding cost than the OW. In this paper, we propose a two-warehouse inventory model for deteriorating items under permissible delay in payments. It is assumed that the deterioration rate in RW is the same as in OW, and the holding cost in RW is greater than that in OW. The stocks of RW are transported to OW in continuous release pattern and the transportation cost is ignored. Three theorems are developed to determine the optimal cycle time and numerical examples are given to illustrate these theorems.

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