Optimal Control of a Production Inventory System with Weibull Distributed Deterioration
نویسندگان
چکیده
This paper is concerned with the optimal control of a production inventory system with deteriorating items. It is assumed that the deterioration rate follows the two-parameter Weibull distribution. The continuous-review and periodic-review policies are investigated. In each case, optimality conditions are derived. Also, numerical illustrative examples are presented.
منابع مشابه
An Optimal Control Approach to Inventory-Production Systems with Weibull Distributed Deterioration
Abstract: Problem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help ...
متن کاملAn improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand
a r t i c l e i n f o This paper expands an inventory model for deteriorating items with stock-dependent demand. This model provides time varying backlogging rate as well as time varying deterioration rate. The aim of this model is to determine the optimal cycle length of each product such that the expected total cost (holding, shortage, ordering, deterioration and opportunity cost) is minimize...
متن کاملOptimal Control of a Production Inventory System with Generalized Exponential Distributed Deterioration
This paper is concerned with the optimal control of a production inventory system with time-varying deteriorating items. It is assumed that the deterioration rate follows the two parameters generalized exponential distribution. The continuous review policy is investigated. The optimality conditions are derived using Pontryagin maximum principle. The optimal total cost, the optimal inventory lev...
متن کاملAn inventory model for deteriorating items with weibull deterioration rate, linear demand rate, unit production cost and without shortages
The objective of this model is to investigate the inventory system for perishable items with linear demand pattern where Weibull deterioration is considered. The Economic order quantity is determined for minimizing the average total cost per unit time. The unit production cost is taken to be inversely related to the demand rate. The result is illustrated with numerical example.
متن کاملAn Integrated Partial Backlogging Inventory Model having Weibull Demand and Variable Deterioration rate with the Effect of Trade Credit
Demand considered in most of the classical inventory models is constant, while in most of the practical cases the demand changes with time. In this article, an inventory model is developed with time dependent two parameter weibull demand rate whose deterioration rate increases with time. Each cycle has shortages, which have been partially backlogged to suit present day competition in the market...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006