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**1 - 9**of**9**### Optimal Ordering Policy of Deteriorating Items with Mixed Cargo Transportation over a Finite Planning Horizon

, 2012

"... In this paper, we propose a deteriorating items inventory model with constant demand and deterioration rates, and mixed cargo transportation modes. The transportation modes are full container load (FCL) and less than container load (LCL). Deteriorating items, such as specialty gases which are applie ..."

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In this paper, we propose a deteriorating items inventory model with constant demand and deterioration rates, and mixed cargo transportation modes. The transportation modes are full container load (FCL) and less than container load (LCL). Deteriorating items, such as specialty gases which are applied in semiconductor fabrication, deteriorate owing to environmental variation. Exact algorithms are proposed to determine the optimal inventory policies over a finite and an infinite planning horizon. Numerical examples are given to illustrate the proposed solution procedures. In addition, when the deterioration rate is large, the results of the proposed model perform better compared to the inventory model proposed by Rieksts and Ventura (2008).

### Partial Backlogging EOQ Model for Queued Customers with Power Demand and Quadratic Deterioration:Computational Approach

"... Abstract In this paper, an EOQ model for perishable items for queued customers is developed in wh ich shortages are allo wed and partially backlogged. The backlogging rate is taken to be inversely proportional to the wait ing time for the next replenishment. Demand follo ws power pattern on time t. ..."

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Abstract In this paper, an EOQ model for perishable items for queued customers is developed in wh ich shortages are allo wed and partially backlogged. The backlogging rate is taken to be inversely proportional to the wait ing time for the next replenishment. Demand follo ws power pattern on time t. The model is fairly general due to dynamic nature of demand. When fresh and new items arrive in stock they begin to decay after a fixed time interval called the life period of items. The total cost function is constructed and subjected to the optimization wh ich in turn gives us the non linear equation. Further, a computing algorith m is proposed to find the solution of the system by using the N-R method. We compute the optimal inventory period and total optimal average cost as most important performance measures for the model. Finally, nu merical examples are provided to illustrate the problem and sensitivity analysis has been carried out.

### A Computational Approach to EOQ Model with Power-Form Stock-Dependent Demand and Cubic Deterioration

, 2011

"... Abstract The problem of deterioration in an EOQ model plays a significant role in the field of inventory control and management. In this paper, an attempt has been made to develop an inventory model for deteriorating items with uniform replenishment rate with power form demand and without shortages ..."

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Abstract The problem of deterioration in an EOQ model plays a significant role in the field of inventory control and management. In this paper, an attempt has been made to develop an inventory model for deteriorating items with uniform replenishment rate with power form demand and without shortages. The rate of deterioration is a cubic polynomial as a function of time. A total cost function is constructed and a computing algorithm is developed to find the solution of non-linear problem of constrained optimization. Numerical demonstration and sensitivity analysis have been carried out for the model to identify the sensitive parameters in the systems which have differential variations with total optimal average cost as an important performance measure of the system.

### Optimal Pricing and Production Scheduling Policies for an Inventory Model with Stock Dependent Production and Weibull Decay

"... Abstract: The classical Economic Order Quantity (EPQ) models consider that the production rate is fixed and constant. But in many manufacturing and production processes the production rate is a function of stock on hand. For this sort of situations we develop and analyze an EPQ model with the assump ..."

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Abstract: The classical Economic Order Quantity (EPQ) models consider that the production rate is fixed and constant. But in many manufacturing and production processes the production rate is a function of stock on hand. For this sort of situations we develop and analyze an EPQ model with the assumption that the production rate is a function of the on-hand inventory and demand is a function of selling price. It is further assumed that lifetime of the item is random and follows three parameter Weibull distribution. With suitable cost considerations the total cost and profit rate functions are derived. By maximizing the profit rate function the optimal pricing and production scheduling policies are derived. The sensitivity analysis of the model reveals that the stock dependent nature of production rate is having significant influence on the optimal production quantity and production up-time and that the selling price dependent demand parameters tremendously influence the optimal values of the unit selling price and profit rate.

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"... Abstract — This paper presents an inventory model for deteriorating items with Quadratic demand. An Exponential distribution is used to represent the distribution of time to deterioration. Shortages are not allowed and holding cost is time dependent. Our objective is to minimize the total cost. Nume ..."

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Abstract — This paper presents an inventory model for deteriorating items with Quadratic demand. An Exponential distribution is used to represent the distribution of time to deterioration. Shortages are not allowed and holding cost is time dependent. Our objective is to minimize the total cost. Numerical Examples is given to illustrate the solution procedure.

### Integrated Inventory Models for Decaying Items with Exponential Demand under Inflation

"... Abstract- In this article we take consideration of a two warehouse inventory problems with exponential and time dependent increasing trend in demand for deteriorating items under inflation. Shortage is allowed and partially backlogged.The scheduling period is taken to be variable and not constant. T ..."

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Abstract- In this article we take consideration of a two warehouse inventory problems with exponential and time dependent increasing trend in demand for deteriorating items under inflation. Shortage is allowed and partially backlogged.The scheduling period is taken to be variable and not constant. The solution procedure provided here helps the decision maker to decide whether to rent a warehouse or not.The result have been validated with help of some numerical example and comprehensive sensitivity analysis has also be performed.

### Optimal Discrete-in-Time Inventory Control of a Single Deteriorating Product with

"... Part of the American Studies Commons This Dissertation is brought to you for free and open access by the Graduate School at Scholar Commons. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Scholar Commons. For more information, please contact ..."

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Part of the American Studies Commons This Dissertation is brought to you for free and open access by the Graduate School at Scholar Commons. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Scholar Commons. For more information, please contact

### On Optimal Production Scheduling of an EPQ Model with Stock Dependent Production Rate and Pareto Decay

"... Abstract: EPQ models play an important role in production and manufacturing units. Much work has been reported in literature regarding EPQ models with finite rate of production. But in many food processing and bottling industries the production is dependent on stock on hand. Hence in this paper we d ..."

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Abstract: EPQ models play an important role in production and manufacturing units. Much work has been reported in literature regarding EPQ models with finite rate of production. But in many food processing and bottling industries the production is dependent on stock on hand. Hence in this paper we develop and analyze an EPQ model for deteriorating items with stock dependent production rate and Pareto rate of decay. Using the differential equations the instantaneous state of inventory is derived and with suitable cost considerations the optimal quantity, production uptime and production downtime are obtained for two cases of with and without shortages. The sensitivity analysis of the model revealed that the stock dependent production has a significant influence an optimal production schedule and can reduce total cost of production. This model also includes the finite rate of production inventory model with Pareto decay as a particular case.

### On Real-Time Accounting of Inventory Costs in the Newsvendor Model and Its Effect on the Service Level

"... The newsvendor model is the cornerstone of most periodic inventory models; however, it distorts the correct timing of inventory costs and thus misses the optimal solution of the inventory system. This work presents a modification of the classical newsvendor model that considers the holding cost acco ..."

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The newsvendor model is the cornerstone of most periodic inventory models; however, it distorts the correct timing of inventory costs and thus misses the optimal solution of the inventory system. This work presents a modification of the classical newsvendor model that considers the holding cost according to the stock-levels within the selling period rather than according to the stock-level at the end of it. The selling period (for example, a season) is divided into equal-time epochs (for example, one-day epochs), where demands are not necessarily identical across epochs or independently distributed. A mathematical model is formulated to find the optimal order quantity which maximizes the expected profit. We show: 1) that the profit function is concave; 2) that the structure of the optimality equation is similar to that of the classical newsvendor model; 3) how to attain the real tradeoff between the expected profit and the service level. Finally, we propose three heuristics to approximate the optimal order quantity and two bounds on its value, which are easy to implement in practice, and evaluate their performances using extensive numerical examples in a factorial experimental design.