AN EOQ MODEL WITH CONTROLLABLE SELLING RATE

2008 ◽  
Vol 25 (02) ◽  
pp. 151-167 ◽  
Author(s):  
HORNG-JINH CHANG ◽  
PO-YU CHEN
Keyword(s):  
Distribution Function ◽  
Transaction Cost ◽  
Optimal Solution ◽  
Bivariate Distribution ◽  
Inventory Level ◽  
Selling Price ◽  
Eoq Model ◽  
Concrete Form ◽  
Demand Rate ◽  
Classical Economic

According to the marketing principle, a decision maker may control demand rate through selling price and the unit facility cost of promoting transaction. In fact, the upper bound of willing-to-pay price and the transaction cost probably depend upon the subjective judgment of individual consumer in purchasing merchandise. This study therefore attempts to construct a bivariate distribution function to simultaneously incorporate the willing-to-pay price and the transaction cost into the classical economic order quantity (EOQ) model. Through the manipulation of the constructed bivariate distribution function, the demand function faced by the supplier can be expressed as a concrete form. The proposed mathematical model mainly concerns how to determine the initial inventory level for each business cycle, so that the profit per unit time is maximized by means of the selling price and the unit-transaction cost to control the selling rate. Furthermore, the sensitivity analysis of optimal solution is performed and the implication of this extended inventory model is also discussed.

scholarly journals A study of inflation effects on an EOQ model for Weibull deteriorating/ameliorating items with ramp type of demand and shortages

2013 ◽  
Vol 23 (3) ◽  
pp. 441-455 ◽  
Author(s):  
M. Valliathal ◽  
R. Uthayakumar
Keyword(s):  
Computer Software ◽  
Optimal Solution ◽  
Solution Procedure ◽  
Inventory Level ◽  
Decision Variable ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Ramp Type Demand

This paper deals with the effects of inflation and time discounting on an inventory model with general ramp type demand rate, time dependent (Weibull) deterioration rate and partial backlogging of unsatisfied demand. The model is studied under the replenishment policy, starting with shortages under two different types of backlogging rates, and their comparative study is also provided. We then use the computer software, MATLto find the optimal replenishment policies. Duration of positive inventory level is taken as the decision variable to minimize the total cost of the proposed system. Numerical examples are then taken to illustrate the solution procedure. Finally, sensitivity of the optimal solution to changes of the values of different system parameters is also studied.

scholarly journals Inventory models with stock- and price-dependent demand for deteriorating items based on limited shelf space

2010 ◽  
Vol 20 (1) ◽  
pp. 55-69 ◽  
Author(s):  
Chun-Tao Chang ◽  
Yi-Ju Chen ◽  
Tzong-Ru Tsai ◽  
Wu Shuo-Jye
Keyword(s):  
Optimal Solution ◽  
Deteriorating Items ◽  
Selling Price ◽  
Order Quantity ◽  
Shelf Space ◽  
Stock Level ◽  
Eoq Model ◽  
Eoq Models ◽  
Demand Rate ◽  
Dependent Demand

This paper deals with the problem of determining the optimal selling price and order quantity simultaneously under EOQ model for deteriorating items. It is assumed that the demand rate depends not only on the on-display stock level but also the selling price per unit, as well as the amount of shelf/display space is limited. We formulate two types of mathematical models to manifest the extended EOQ models for maximizing profits and derive the algorithms to find the optimal solution. Numerical examples are presented to illustrate the models developed and sensitivity analysis is reported.

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 Inventory models with stock - and price-dependent demand for deteriotating items based on limited space

2022 ◽  
Vol 12 (1) ◽  
pp. 0-0
Keyword(s):  
Optimal Solution ◽  
Selling Price ◽  
Order Quantity ◽  
Inventory Models ◽  
Stock Level ◽  
Numerical Examples ◽  
Eoq Model ◽  
Eoq Models ◽  
Demand Rate ◽  
Dependent Demand

This paper deals with the problem of determining the optimal selling price and order quantity simultaneously under EOQ model for deteriorating items. It is assumed that the demand rate depends not only on the on-display stock level but also the selling price per unit, as well as the amount of shelf/display space is limited. We formulate two types of mathematical models to manifest the extended EOQ models for maximizing profits and derive the algorithms to find the optimal solution. Numerical examples are presented to illustrate the models developed and sensitivity analysis is reported.

scholarly journals A Fuzzy EPQ Model for Non-Instantaneous Deteriorating Items where Production Depends on Demand which is Proportional to Population, Selling Price as well as Advertisement

2019 ◽  
Vol 10 (5) ◽  
pp. 1679 ◽  
Author(s):  
Abhishek Kanti Biswas ◽  
Sahidul Islam
Keyword(s):  
Optimal Solution ◽  
Inventory Level ◽  
Selling Price ◽  
Distance Method ◽  
Defective Items ◽  
Holding Cost ◽  
Epq Model ◽  
Optimal Inventory Level ◽  
Cost Parameters ◽  
Total Average

The inventory system has been drawing more intrigue because this system deals with the decision that minimizes the total average cost or maximizes the total average profit. For any farm, the demand for any items depends upon population, selling price and frequency of advertisement etc. Most of the model, it is assumed that deterioration of any item in inventory starts from the beginning of their production. But in reality, many goods are maintaining their good quality or original condition for some time. So, price discount is availed for defective items. Our target is to calculate the total optimal cost and the optimal inventory level for this inventory model in a crisp and fuzzy environment. Here Holding cost taken as constant and no-shortages are allowed. The cost parameters are considered as Triangular Fuzzy Numbers and to defuzzify the model Signed Distance Method is applied. A numerical example of the optimal solution is given to clarify the model. The changes of different parameters effect on the optimal total cost are presented and sensitivity analysis is given.JEL Classification: C44, Y80, C61Mathematics Subject Classification: 90B05

AN EOQ MODEL WITH LIMITED STORAGE CAPACITY UNDER TRADE CREDITS

2007 ◽  
Vol 24 (04) ◽  
pp. 575-592 ◽  
Author(s):  
LIANG-YUH OUYANG ◽  
KUN-SHAN WU ◽  
CHIH-TE YANG
Keyword(s):  
Storage Capacity ◽  
Optimal Solution ◽  
Inventory Systems ◽  
Simple Method ◽  
Eoq Model ◽  
Trade Credits ◽  
Cash Discount ◽  
Delay In Payments ◽  
Classical Economic ◽  
Theoretical Results

In the classical economic order quantity (EOQ) inventory model, it was assumed that the retailer must pay for the received items immediately. However, in practice, the supplier not only allows retailer to settle the account after a certain fixed period but also may offer a cash discount to encourage the retailer to pay for his purchases as soon as possible. On the other hand, it is common practice in most inventory systems to hold excess stocks in a rented warehouse whenever the storage capacity of the owned warehouse is insufficient. Therefore, the purpose of this paper is to establish an EOQ model with limited storage capacity, in which the supplier provides cash discount and permissible delay in payments for the retailer. In the model, we develop some useful theorems to characterize the optimal solution and provide a simple method to find the optimal replenishment cycle time and payment time. Finally, several numerical examples are given to illustrate the theoretical results and some managerial insights are also obtained.

On the EOQ model with inventory-level-dependent demand rate and random yield

1994 ◽  
Vol 16 (3) ◽  
pp. 167-176 ◽  
Author(s):  
Shaul K. Bar-Lev ◽  
Mahmut Parlar ◽  
David Perry
Keyword(s):  
Inventory Level ◽  
Random Yield ◽  
Eoq Model ◽  
Demand Rate ◽  
Dependent Demand Rate ◽  
Dependent Demand

Deteriorating Inventory Model under Permissible Delay in Payments and Fuzzy Environment

2016 ◽  
pp. 77-99 ◽  
Author(s):  
Nita H. Shah ◽  
Sarla Pareek ◽  
Isha Sangal
Keyword(s):  
Solution Procedure ◽  
Inventory Model ◽  
Variable Cost ◽  
Selling Price ◽  
Gravity Method ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Fuzzy Environment ◽  
Demand Rate ◽  
Delay In Payments

This paper deals with the problem of determining the EOQ model for deteriorating items in the fuzzy sense where delay in payments is permissible. The demand rate, ordering cost, selling price per item and deterioration rate are taken as fuzzy numbers. The total variable cost in fuzzy sense is de-fuzzified using the centre of gravity method. The solution procedure has been explained with the help of numerical example.

COORDINATING TWO-ECHELON SUPPLY CHAINS UNDER STOCK AND PRICE DEPENDENT DEMAND RATE

2013 ◽  
Vol 30 (02) ◽  
pp. 1250051 ◽  
Author(s):  
SHIBAJI PANDA
Keyword(s):  
Supply Chain ◽  
Cost Sharing ◽  
Wholesale Price ◽  
Revenue Sharing ◽  
Integrated System ◽  
Cost Structure ◽  
Inventory Level ◽  
Selling Price ◽  
Implicit Information ◽  
Demand Rate

Coordination is imperative for improving supply chain performance. In this paper, we focus on coordination of a two-echelon supply chain consisting of a manufacturer and a price-setting retailer, which operates for a single product. Customer demand is influenced by retailer's instantaneous inventory level and selling price. The integrated system and the decentralized scenario, by considering manufacturer as the Stackelberg leader, are discussed. It is shown that conventional revenue sharing contract cannot coordinate the system but revenue and cost sharing (RCS) contract is able to coordinate the system and leads to a win–win outcome. The key contract parameters — cost sharing fraction, along with revenue sharing fraction and wholesale price are determined under explicit and implicit information of retailer's cost structure. Finally, it is shown that range of cost sharing fraction that leads to win–win situation is independent of the format of cost structure of retailer. Numerical examples are provided to illustrate the development of the model.

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