Analysis of an Inventory System for Items with Stochastic Demand and Time Dependent Three-Parameter Weibull Deterioration Function

作     者：Nwoba Pius Ophokenshi Chukwu Walford Ikechukwu Emmanuel Maliki Olaniyi Sadik 

作者机构：Department of Industrial Mathematics and Applied Statistics Ebonyi State University Abakaliki Nigeria Department of Statistics University of Nigeria Nsuka Nigeria Department of Mathematics Michael Okpara University of Agriculture Umudike Nigeria 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2019年第10卷第9期

页      面：728-742页

学科分类：1002[医学-临床医学] 100214[医学-肿瘤学] 10[医学] 

主　　题：Inventory Model Deteriorating Items Weibull Distribution Stochastic Demand MathCAD14 

摘      要：In recent times, mathematical models have been developed to describe various scenarios obtainable in the management of inventories. These models usually have as objective the minimizing of inventory costs. In this research work we propose a mathematical model of an inventory system with time-dependent three-parameter Weibull deterioration and a stochastic type demand in the form of a negative exponential distribution. Explicit expressions for the optimal values of the decision variables are obtained. Numerical examples are provided to illustrate the theoretical development.