Production inventory models for deteriorating items with production quantity dependent demand and Weibull decay

2011 ◽  
Vol 11 (1) ◽  
pp. 31 ◽  
Author(s):  
K. Srinivasa Rao ◽  
S.V. Uma Maheswara Rao ◽  
K. Venkata Subbaiah
Keyword(s):  
Deteriorating Items ◽  
Inventory Models ◽  
Production Inventory ◽  
Production Quantity ◽  
Dependent Demand

scholarly journals A Production Inventory Model for deteriorating items with backlog-dependent demand

2019 ◽  
Author(s):  
Chayanika Rout ◽  
Debjani Chakraborty ◽  
Prof Adrijit Goswami
Keyword(s):  
Inventory Model ◽  
Constant Function ◽  
Deteriorating Items ◽  
Piecewise Constant Function ◽  
High Quality ◽  
Piecewise Constant ◽  
Production Inventory ◽  
Demand Rate ◽  
Theoretical Results ◽  
Dependent Demand

This paper investigates a production inventory model under classical EPQ framework with the assumption that the customer demand during the stock out period is affected by the accumulated back-orders. The backlog rate is not fixed; instead, the demand rate during stock-out is assumed to decrease proportionally to the existing backlog which is thereby approximated by a piecewise constant function. Deteriorating items are taken into consideration in this proposed work. For better illustration of the theoretical results and to highlight managerial insights, numerical examples arepresentedwhicharethencomparedtotheresultsobtainedbyconsideringanexact (non-approximated) backlogging rate (from literature). The comparisons indicate high quality results for the approximated model.

On an optimal replenishment policy for inventory models for non-instantaneous deteriorating items with stock dependent demand and partial backlogging

2020 ◽  
Vol 54 (1) ◽  
pp. 69-79
Author(s):  
Bashair Ahmad ◽  
Lakdere Benkherouf
Keyword(s):  
Optimal Policy ◽  
Deteriorating Items ◽  
Partial Backlogging ◽  
Simple Test ◽  
Inventory Models ◽  
Basic Model ◽  
Stock Dependent Demand ◽  
Replenishment Policy ◽  
Unique Critical Point ◽  
Dependent Demand

This paper proposes a procedure for determining the optimal replenishment policy for the simple inventory model with stock-dependent demand items, non-instantaneous deteriorating items and partial backlogging. The optimal policy is shown to be of a threshold form. That is, (i) if the time of the onset of deterioration is greater than or equal to the time at which partial-backlogging begins in the basic model (with no deterioration), then the optimal policy is determined by the parameters of the basic model, else (ii) The optimal policy corresponds to the unique critical point of the objective function for the model with non-instantaneous deterioration. Moreover, a simple test for deciding in favor of the former model is given. The procedure obtained is simpler and easier to implement than those existing in the literature. Numerical examples are presented for illustration.

scholarly journals An overtime production inventory model for deteriorating items with nonlinear price and stock dependent demand

2021 ◽  
Vol 60 (3) ◽  
pp. 2779-2786
Author(s):  
Mohammad Abdul Halim ◽  
A. Paul ◽  
Mona Mahmoud ◽  
B. Alshahrani ◽  
Atheelah Y.M. Alazzawi ◽  
...  
Keyword(s):  
Inventory Model ◽  
Deteriorating Items ◽  
Production Inventory ◽  
Stock Dependent Demand ◽  
Dependent Demand

HEURISTIC OPTIMIZATION OF NATURAL PRODUCTION INVENTORY MODELS WITH THE PREFERENCE OF A DECISION MAKER

2008 ◽  
Vol 04 (02) ◽  
pp. 251-265 ◽  
Author(s):  
CHIH HSUN HSIEH
Keyword(s):  
Decision Maker ◽  
Fuzzy Numbers ◽  
Inventory Model ◽  
Total Production ◽  
Natural Numbers ◽  
Inventory Models ◽  
Inventory Cost ◽  
Natural Production ◽  
Production Inventory ◽  
Production Quantity

In this paper, two natural production inventory models based on fuzzy total production inventory cost with the preference of a decision maker are introduced, and combined by natural number parameters in which values are linguistic values in natural language, crisp real number variables, and fuzzy number variables. These are the one natural production inventory model for crisp production quantity, and the other natural production inventory model for fuzzy production quantity. The natural arithmetical operations of both natural numbers and fuzzy numbers by Function Principle are used to compute fuzzy total production inventory cost of each natural production inventory model. Graded k-preference integration representation method is discussed for defuzzifying fuzzy total production inventory cost by preference of decision maker. Furthermore, Extension of the Lagrangean method is used to solve inequality constrain problem in our natural production inventory model. We find out that our optimal solutions can be specified to the classical production inventory model when preference 0.5 of decision maker and natural numbers and fuzzy numbers in our models are crisp real numbers.

INVENTORY MODELS WITH STOCK-DEPENDENT DEMAND AND NONLINEAR HOLDING COSTS FOR DETERIORATING ITEMS

2004 ◽  
Vol 21 (04) ◽  
pp. 435-446 ◽  
Author(s):  
CHUN-TAO CHANG
Keyword(s):  
Deteriorating Items ◽  
Inventory Level ◽  
Order Quantity ◽  
Demand Model ◽  
Inventory Models ◽  
Holding Costs ◽  
Proposed Model ◽  
Demand Rate ◽  
Dependent Demand Rate ◽  
Dependent Demand

In this paper, we discuss why it is appropriate maximize the profits, instead of minimizing the costs, in an inventory system with an inventory-level-dependent demand rate. In addition, we restate Urban's viewpoint that the restriction of zero ending-inventory is not necessary in an inventory-level-dependent demand model. Consequently, we amend Giri and Chaudhuri's inventory model for deteriorating items by changing the objective to maximize the profits and relaxing the restriction of zero ending-inventory. Finally, we provide a couple of examples to show that both the order quantity and the profit obtained from our proposed model are significantly larger than those in Giri and Chaudhuri's model, in which the objective is to minimize the costs.

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