A capacity constrained production-inventory system with stochastic demand and production times

A Production-Inventory System with Markovian Capacity and Outsourcing Option

We study the optimal production-inventory-outsourcing policy for a firm with Markovian in-house production capacity that faces independent stochastic demand and has the option to outsource. We find very simple optimal policy forms under fairly reasonable assumptions. In addition, when the capacity Markov process is stochastically monotone, the policy parameters decrease in the firm’s current ca...

Analysis of a Forecasting-Production-Inventory System with Stationary Demand

Optimal Inventory Policies under Stochastic Production and Demand Rates

We consider a single stage production-inventory system whose production and demand rates are modulated by an environment process modeled as a finite state Continuous Time Markov Chain (CTMC). When the inventory level reaches zero, an order is placed from an external supplier, and it arrives instantaneously. We derive an Economic Order Quantity (EOQ ) policy that minimizes the long-run average c...

Production-Inventory System of Deteriorating Items with Inflation Induced Demand

This paper considers the impact of inflation on the EPQ model for deteriorating items subject to random machine breakdowns and fixed maintenance period. The demand rate is assumed to be a function of inflation and the demand increase due to inflation. The objective is to determine the optimal production uptime that minimizes the present value of expected total costs per unit time consisting of ...

Dynamic Inventory Planning with Unknown Costs and Stochastic Demand

Generally ordering policies are done by two methods, including fix order quantity (FOQ) and fix order period (FOP). These methods are static and either the quantity of ordering or the procedure of ordering is fixing in throughout time horizon. In real environments, demand is varying in any period and may be considered as uncertainty. When demand is variable in any period, the traditional and st...