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.

scholarly journals Controllable deterioration rate for time-dependent demand and time-varying holding cost

2014 ◽  
Vol 24 (1) ◽  
pp. 87-98 ◽  
Author(s):  
Vinod Mishra
Keyword(s):  
Linear Function ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Inventory Cost ◽  
Deterioration Rate ◽  
Preservation Technology ◽  
Demand Rate ◽  
Holding Cost ◽  
Total Inventory ◽  
Dependent Demand

In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models. So in this paper, we developed a deterministic inventory model for non-instantaneous deteriorating items in which both demand rate and holding cost are a linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved analytically by minimizing the total cost of the inventory system. The model can be applied to optimizing the total inventory cost of non-instantaneous deteriorating items inventory for the business enterprises, where the preservation technology is used to control the deterioration rate, and demand & holding cost both are a linear function of time.

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

A Stochastic Inventory Model with Quality-Dependent Demand

1997 ◽  
Vol 47 (3-4) ◽  
pp. 215-222
Author(s):  
G. Mohan Naidu ◽  
K. V. S. Sarma
Keyword(s):  
Inventory Model ◽  
Optimal Order ◽  
Stochastic Inventory ◽  
Stochastic Inventory Model ◽  
Demand Rate ◽  
Optimum Cost ◽  
Quality Material ◽  
Theoretical Results ◽  
Dependent Demand

This paper deals with an inventory model in which the demand rate is influenced by the quality of the material received . The case considered is a situation in which the consumption rate is adjusted whenever the incoming material does not have the desired quality but still usable. This leads to uncertainity in the inventory cycle and may create unplanned shortages. The model takes into account differential prices of the material based on quality. The behaviour of the optimal order level and the optimum cost has been studied as a function of the probability with which good quality material can be received. Numerical illustrations are given in support of the theoretical results.

scholarly journals A partial backlogging inventory model for non-instantaneous deteriorating items with stock-dependent consumption rate under inflation

2010 ◽  
Vol 20 (1) ◽  
pp. 35-54 ◽  
Author(s):  
Jinh Chang ◽  
Feng Lin
Keyword(s):  
Solution Process ◽  
Optimal Solution ◽  
Planning Horizon ◽  
Inventory Model ◽  
Deteriorating Items ◽  
Optimal Order ◽  
Partial Backlogging ◽  
Demand Rate ◽  
Dependent Demand Rate ◽  
Dependent Demand

In this paper, we derive a partial backlogging inventory model for noninstantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensitivity analysis of the optimal solution with respect to system parameters is carried out.

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