Comparative Statics Analysis of An Inventory Management Model with Dynamic Pricing, Market Environment Fluctuation, and Delayed Differentiation

Author(s):  
Nan Yang ◽  
Renyu Zhang
2021 ◽  
Vol 8 (1) ◽  
pp. 27-36
Author(s):  
Ramsés Cabrera-Gala ◽  
Luis Carreón-Nava ◽  
Hugo Valencia-Cuevas ◽  
León Rivera-Sosa

The Mexican family companies must face the challenges of market volatility with greater recurrence, forcing them to use effective tools and models for the proper management of their organizations and inherent activities, such as inventory management. Therefore, this research was carried out at “Moles Santa Monica”, a typical food company located in the city of Puebla, Mexico. This enterprise has reflected a high variability in the administration of its inventories, with a Coefficient of Variation (CV) greater than 0.2 in most of their portfolio products. In this way, the objective of this study was to propose an inventory management model that might reduce the shortages and overstock, and also; improves its performance and profitability when it is managed. The applied methods were Pareto and ABC model to choose correctly the best seller company products. The inventory management model chosen was the periodic review (R, S) as well, for being the most effective and the one that best suited the circumstances of the company in question. Three of the portfolio products were studied (MPP10, MPC10 and COP10) due to they are the most representative in incomes and valuables for the company managers. The results allowed us to propose the review periodic model (R), the optimal quantity of units to produce (Q), the safety stock (Ss) and the maximum inventory (S) for each product. We conclude that this model will help the company to face the uncertainty of the demand. Finally, we include limitations and future studies.


Author(s):  
Bar Light

In multiperiod stochastic optimization problems, the future optimal decision is a random variable whose distribution depends on the parameters of the optimization problem. I analyze how the expected value of this random variable changes as a function of the dynamic optimization parameters in the context of Markov decision processes. I call this analysis stochastic comparative statics. I derive both comparative statics results and stochastic comparative statics results showing how the current and future optimal decisions change in response to changes in the single-period payoff function, the discount factor, the initial state of the system, and the transition probability function. I apply my results to various models from the economics and operations research literature, including investment theory, dynamic pricing models, controlled random walks, and comparisons of stationary distributions.


2020 ◽  
Vol 80 ◽  
pp. 01007
Author(s):  
T G Trubchenko ◽  
E S Kiseleva ◽  
M. A. Loshchilova ◽  
A N Dreval ◽  
T G Ryzhakina ◽  
...  

Inventory management at an enterprise is the essential logistics function. Reducing inventory maintenance costs and optimizing the range of goods while focusing on consumer demand analy-sis are inextricably linked to inventory management methods. This article describes the differentiated inventory management model of the ABC-XYZ classification matrix in relation to the inven-tory of Karandash LLC commercial enterprise (Tomsk). Inventory management is a highly relevant issue, since the company has several branches, cooperates with many suppliers, and its range of office supplies includes more than 30 000 items. The ABC-XYZanalysis of the inventory of this commercial enterprise allowed us to determine strategies for optimizing inventory and to identify the groups that should be removed from the range, and, vice versa, should be available in stock due to constant demand.


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