Order Policy Analysis for Deteriorating Inventory Model with Trapezoidal Type Demand Rate

Chuang, Kai-Wayne; Lin, Chien-Nan; Lan, Chun-Hsiung

doi:10.4304/jnw.8.8.1838-1844

Cited by 7 publications

(4 citation statements)

References 21 publications

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“…Cheng et al [17] derived a mathematical model for time dependent deteriorating items with trapezoidal type demand rate and partial backlogging of unsatisfied demand. Chuang et al [18] extended the work of Cheng at al. [17] considering the pricing policies in marketing.…”

Section: Introductionmentioning

confidence: 90%

Optimal Scheduling of Delivery Plans in an Integrated Vendor - Buyer Inventory Model with Constant Deterioration and Three Phase Ramp Type Demand

Savitha¹,

Achary²

2020

International Journal of Applied Engineering Research

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Section: Introductionmentioning

confidence: 90%

Optimal Scheduling of Delivery Plans in an Integrated Vendor - Buyer Inventory Model with Constant Deterioration and Three Phase Ramp Type Demand

Savitha¹,

Achary²

2020

International Journal of Applied Engineering Research

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“…Further works in this direction considering trapezoidal type demand have been done by Uthayakumar and Rameswari [25] considering defective items with trapezoidal type demand rate. Chuang et al [7] considering the deteriorating inventory model with trapezoidal type demand rate. Zhao [28] views deteriorating inventory model with trapezoidal type demand rate are a piecewise linear function.…”

Section: Introductionmentioning

confidence: 99%

An inventory model for deteriorating items under trapezoidal type demand and controllable deterioration rate

Mishra

2015

Prod. Eng. Res. Devel.

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In this paper, an attempt is made to characterize the preservation technology for deteriorating items in order to reduce the deterioration rate. This model assumes a deteriorating inventory model with trapezoidal type demand by allowing preservation technology cost as a decision variable. Holding cost is assumed to be a time dependent. The model with no shortage case in inventory is first solved. The inventory shortage is discussed next. A solution procedure is presented to determine an optimal replenishment cycle and total cost per unit time, which is a convex function of preservation technology cost. Results have been validated with relevant examples. Sensitivity analysis is performed to show the effect of changes in the parameters on the optimum solution. The analysis of the model shows that the solution of the model is quite stable and can be applied for optimizing the total inventory cost of deteriorating items inventory for the business enterprises where they use the preservation technology to reduce the deterioration rate of the inventory items.

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“…Then, Lin [3] developed an inventory model considering the demand which follows the trapezoidal pattern. After that, Chuang et al [4] and Singh & Pattanayak [5] investigated inventory models considering trapezoidal type demand for deteriorating items. Lin et al [6] wrote a note on Cheng et al [2] based on modeling and solutions.…”

Section: Introductionmentioning

confidence: 99%

Impact of Trapezoidal Demand and Deteriorating Preventing Technology in an Inventory Model in Interval Uncertainty under Backlogging Situation

et al. 2021

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The demand for a product is one of the important components of inventory management. In most cases, it is not constant; it may vary from time to time depending upon several factors which cannot be ignored. For any seasonal product, it is observed that at the beginning of the season, demand escalates over time, then it is stable and after that, it decreases. This type of demand is known as the trapezoidal type. Also, due to the uncertainty of customers’ behavior, inventory parameters are not always fixed. Combining these two concepts together, an inventory model is formulated for decaying items in an interval environment. Preservative technology is incorporated to preserve the product from deterioration. The corresponding mathematical formulation is derived in such a way that the profit of the inventory system is maximized. Consequently, the corresponding optimization problem is converted into an interval optimization problem. To solve the same, different variants of quantum-behaved particle swarm optimization (QPSO) techniques are employed to determine the duration of stock-in time and preservation technology cost. To illustrate and also to validate the model, three numerical examples are considered and solved. Then the computational results are compared. Thereafter, to study the impact of different parameters of the proposed model on the best found (optimal or very close to optimal) solution, sensitivity analysis are performed graphically.

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Order Policy Analysis for Deteriorating Inventory Model with Trapezoidal Type Demand Rate

Cited by 7 publications

References 21 publications

Optimal Scheduling of Delivery Plans in an Integrated Vendor - Buyer Inventory Model with Constant Deterioration and Three Phase Ramp Type Demand

Optimal Scheduling of Delivery Plans in an Integrated Vendor - Buyer Inventory Model with Constant Deterioration and Three Phase Ramp Type Demand

An inventory model for deteriorating items under trapezoidal type demand and controllable deterioration rate

Impact of Trapezoidal Demand and Deteriorating Preventing Technology in an Inventory Model in Interval Uncertainty under Backlogging Situation

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