A Deterministic Inventory Model under Quantity-depended Payments Delay Policy Using Algebraic Method

2006 ◽  
Vol 6 (2) ◽  
pp. 406-410 ◽  
Author(s):  
Chih-Sung Lai ◽  
Yung-Fu Huang . ◽  
Hung-Fu Huang .
2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
M. E. Seliaman

We develop a four-stage, serial supply chain inventory model with planned backorders. This supply chain model is formulated for the integer multipliers coordination mechanism, where firms at the same stage of the supply chain use the same cycle time and the cycle time at each stage is an integer multiplier of the cycle time used at the adjacent downstream stage. We develop an optimal replenishment policy using a simple algebraic method to solve the problem without the use of differential calculus.


Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 931 ◽  
Author(s):  
Luo

Researchers have used analytic methods (calculus) to solve inventory models with fixed and linear backorder costs. They have found conditions to partition the feasible domain into two parts. For one part, the system of the first partial derivatives has a solution. For the other part, the inventory model degenerates to the inventory model without shortages. A scholar tried to use the algebraic method to solve this kind of model. The scholar mentioned the partition of the feasible domain. However, other researchers cannot understand why the partition appears, even though the scholar provided two motivations for his derivations. After two other researchers provided their derivations by algebraic methods, the scholar showed a generalized solution to combine inventory models with and without shortages together. In this paper, we will point out that this generalized solution approach not only did not provide explanations for his previous partition but also contained twelve questionable results. Recently, an expert indicated questionable findings from two other researchers. Hence, we can claim that solving inventory models with fixed and linear backorder costs is still an open problem for future researchers.


1990 ◽  
Vol 87 ◽  
pp. 2017-2025 ◽  
Author(s):  
Lac Malbouisson ◽  
JDM Vianna

2015 ◽  
Vol 4 (1) ◽  
pp. 29-36
Author(s):  
N Mishra ◽  
SP Mishra ◽  
Srichandan Mishra ◽  
J Panda ◽  
UK Misra

2014 ◽  
Vol 12 (9) ◽  
pp. 3921-3926
Author(s):  
Ritha Prakash ◽  
Nivetha Martin

In recent times, we are witnessing the technological revolution which provides access to tremendous changes in all the fields including the industrial sectors. The notable benefit of the modern technology is quick accomplishment of complex tasks within a short span of time, which has motivated the manufacturers to imbibe novelty techniques in the production process to enhance the quality of the product so as to retain its market position amidst the competitors. As globalization has gained more concern, the manufacturers employ internet advertising strategy to elevate the product to international level and to propagate the attributes of the products to the customers residing worldwide. In this paper an EPQ inventory model is developed in which the associated costs of technology, acquisition of local and international customers via internet advertising costs are included, a numerical example is also presented to validate the model.


2018 ◽  
Vol 7 (3) ◽  
pp. 42
Author(s):  
KUMAR ATTRI AMIT ◽  
S. R. SINGH ◽  
CHOUDHARY SHWETA ◽  
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