Strong Stability in an (R, s, S) Inventory Model
نویسندگان
چکیده
In this paper, we prove the applicability of the strong stability method to inventory models. Real life inventory problems are often very complicated and they are resolved only through approximations. Therefore, it is very important to justify these approximations and to estimate the resultant error. We study the strong stability in a periodic review inventory model with an (R, s, S) policy. After showing the strong v−stability of the underlying Markov chain with respect to the perturbation of the demand distribution, we obtain quantitative stability estimates with an exact computation of constants.
منابع مشابه
Renoprotective potential of exogen erythropoietin on experimental ruptured abdominal aortic aneurysm model: An animal study
Objective(s): The aim of this study is to investigate the renoprotective effect of erythropoietin (EPO) on hypovolemic shock and ischemia/reperfusion (IR) injury on kidneys as end-organs in an experimentally-created ruptured abdominal aortic aneurysm (rAAA) model.Materials and Methods: Thirty anesthetized Sprague-Dawley male rats were ra...
متن کاملPRODUCTION MODEL WITH SELLING PRICE DEPENDENT DEMAND AND PARTIAL BACKLOGGING UNDER INFLATION
We developed an inventory model for decaying items with selling price dependent demand in inflationary environment. Deterioration rate is taken as two parameter Weibull distribution. Shortages in inventory are allowed with partial backlogging. Backlogging rate is taken as exponential decreasing function of time. Profit maximization technique is used in this study.
متن کاملON THE STABILITY AND THRESHOLD ANALYSIS OF AN EPIDEMIC MODEL
We consider a mathematical model of epidemic spread in which the population is partitioned into five compartments of susceptible S(t), Infected I(t), Removed R(t), Prevented U(t) and the Controlled W(t). We assume each of the compartments comprises of cohorts of individuals which are identical with respect to the disease status. We derive five systems of equations to represent each of the ...
متن کاملAn EMQ inventory model for defective products involving rework and sales team’s initiatives-dependent demand
This paper investigates the issue of an economic manufacturing quantity model for defective products involving imperfect production processes and rework. We consider that the demand is sensitive to promotional efforts/sales teams’ initiatives as well as the setup cost can be reduced through further investment. It also assumes that fixed quantity multiple installments of the finished batch are d...
متن کاملBi-product inventory planning in a three-echelon supply chain with backordering, Poisson demand, and limited warehouse space
In this paper, we apply continuous review (S-1, S) policy for inventory control in a three-echelon supply chain (SC) including r identical retailers, a central warehouse with limited storage space, and two independent manufacturing plants which offer two kinds of product to the customer. The warehouse of the model follows (M/M/1) queue model where customer demands follow a Poisson probabilit...
متن کامل