A stochastic inventory model for an immediate liquidation and price-promotion decision under price-dependent demand

2014 ◽  
Vol 53 (12) ◽  
pp. 3789-3809 ◽  
Author(s):  
Xiaoyan Zhu ◽  
Sila Cetinkaya
Keyword(s):  
Inventory Model ◽  
Price Promotion ◽  
Stochastic Inventory ◽  
Stochastic Inventory Model ◽  
Dependent Demand

scholarly journals A stochastic inventory model with stock dependent demand items

2001 ◽  
Vol 14 (4) ◽  
pp. 317-328 ◽  
Author(s):  
Lakdere Benkherouf ◽  
Amin Boumenir ◽  
Lakhdar Aggoun
Keyword(s):  
Variational Inequality ◽  
Continuous Time ◽  
Infinite Horizon ◽  
Inventory Model ◽  
Stochastic Inventory ◽  
Stochastic Inventory Model ◽  
Stock Dependent Demand ◽  
Quasi Variational Inequality ◽  
Discounted Costs ◽  
Dependent Demand

In this paper, we propose a new continuous time stochastic inventory model for stock dependent demand items. We then formulate the problem of finding the optimal replenishment schedule that minimizes the total expected discounted costs over an infinite horizon as a Quasi-Variational Inequality (QVI) problem. The QVI is shown to have a unique solution under some conditions.

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.

ON A STOCHASTIC INVENTORY MODEL WITH DETERIORATION AND STOCK-DEPENDENT DEMAND ITEMS

2002 ◽  
Vol 16 (2) ◽  
pp. 151-165 ◽  
Author(s):  
Lakdere Benkherouf ◽  
Lakhdar Aggoun
Keyword(s):  
Impulse Control ◽  
Infinite Horizon ◽  
Inventory Model ◽  
Algebraic Equations ◽  
Expected Return ◽  
Stochastic Inventory ◽  
Stochastic Inventory Model ◽  
Stock Dependent Demand ◽  
Optimal Impulse ◽  
Dependent Demand

In this article, we propose a new continuous-time stochastic inventory model with deterioration and stock-dependent demand items. We then formulate the problem of finding the optimal impulse control schedule that minimizes the total expected return over an infinite horizon, as a quasivariational inequality (QVI) problem. The QVI is shown to lead to an (s, S) policy, where s and S are determined uniquely as a solution of some algebraic equations.

scholarly journals A stochastic inventory model with perishable and aging items

1999 ◽  
Vol 12 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Lakhdar Aggoun ◽  
Lakdere Benkherouf ◽  
Lotfi Tadj
Keyword(s):  
Inventory Model ◽  
Inventory Level ◽  
Change Of Measure ◽  
Single Product ◽  
Perishable Items ◽  
Stochastic Inventory ◽  
Maximum Lifetime ◽  
Stochastic Inventory Model ◽  
History Of ◽  
Special Case

In this paper, we propose a single-product, discrete time inventory model for perishable items. Inventory levels are reviewed periodically and units in stock have a maximum lifetime of M periods. It is assumed that the dynamics of the inventory level is driven by a parameter process (reflecting perishability) and demands. By observing the history of the inventory level we obtain the conditional distribution of the perishability parameter by using the change of measure techniques. A special case is also presented.

scholarly journals Stochastic Inventory System With Different Rates of Production

2020 ◽  
Vol 11 (2) ◽  
pp. 36-52
Author(s):  
Mohammad Ataullah ◽  
Mohammad Ekramol Islam ◽  
Md. Sharif Uddin
Keyword(s):  
Production Rate ◽  
Poisson Distribution ◽  
Generation Time ◽  
Switching Time ◽  
Inventory Model ◽  
Inventory System ◽  
Exponential Parameter ◽  
Exchange Time ◽  
Stochastic Inventory ◽  
Stochastic Inventory Model

This article analyzes a solitary item stochastic inventory model with two distinctive generation rates where a request pursues Poisson distribution and an item has a limited lifetime which is level dependent. It is expected that the framework be on a foreordained level and the framework is changed over to ON mode from OFF mode with a noteworthy exchanging time with exponential parameter α. During the switching time, no interest will be served, the interest during the exchange time is lost. Here, excesses are permitted and during accumulations, the production rate is higher than that of ordinary generation time. Some framework attributes are shown with time variety.

A Simulation-Based Optimization Approach to a Lost Sale Stochastic Inventory Model

2012 ◽  
Vol 3 (2) ◽  
pp. 46-63 ◽  
Author(s):  
Rafael Diaz ◽  
Barry Charles Ezell
Keyword(s):  
Simulated Annealing ◽  
Inventory Model ◽  
Pattern Search ◽  
Ranking And Selection ◽  
Optimization Approach ◽  
Stochastic Inventory ◽  
Stochastic Inventory Model ◽  
Simulation Based ◽  
Simulation Based Optimization ◽  
Correlated Components

This paper describes a stochastic inventory model where the control review system is periodic; demand contains auto-correlated components; and categorized as a lost sale case. The authors propose a simulation-based optimization based on using a combination of simulated annealing, pattern search, and ranking and selection methods to search and approximate solutions to this problem. Simulated annealing is employed to stochastically nominate and pre-select solutions in a decision space. Pattern search is used to systematically define a grid of competitive neighbors around pre-selected solutions. Ranking and selection is used to evaluate the performance of such competing pre-selected alternatives. On one hand, results show that service level in terms of filling rates deteriorate as the autocorrelation grows and is ignored. In contrast, service levels were kept almost invariable to the effects of the serially correlated components for solutions suggested using the proposed algorithm.

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