Title
Scenario-Based Modeling of Interdependent Demand and Supply Uncertainties
Abstract
This paper develops a scenario generation framework for modeling demand and supply uncertainties. This framework is applied to a decision problem at an illustrative manufacturing company facing risks caused by uncertainties in end product demand and component availability. In particular, we focus on the impact of interdependent demand and supply uncertainty. To evaluate analytically the impact of interdependence between these two uncertainties, we analyze a simple newsvendor model with a bivariate normal distribution for demand and supply yield. Then, in more complex settings, we use scenarios based on copula functions, which can account for both linear and nonlinear dependences. These scenarios are used in conjunction with stochastic programming models to evaluate sourcing costs and risks under various conditions. In particular, we study a decision problem faced by a manufacturer which uses capacity reservation contracts in the presence of an unreliable supplier and uncertain product demand. Our results indicate that worst-case risks grow significantly when the dependences in uncertainties about demand and supply yield are stronger. We also highlight differences caused by linear and tail-dependent dependence structures. Based on the results, we argue that using the proposed framework to model uncertainties and their interdependences allows managers to better manage risks.
Year
DOI
Venue
2014
10.1109/TEM.2013.2266418
Engineering Management, IEEE Transactions
Keywords
Field
DocType
costing,decision theory,normal distribution,risk management,stochastic programming,supply and demand,bivariate normal distribution,capacity reservation contracts,component availability,copula functions,decision problem,end product demand,interdependent demand-and-supply uncertainties,linear dependence,manufacturing company,nonlinear dependence,scenario generation framework,scenario-based modeling,simple newsvendor model,sourcing costs,sourcing risks,stochastic programming model,supply-and-demand yield,interdependent uncertainties,inventory control,newsvendor problem,scenario generation,stochastic optimization
Stochastic optimization,Economics,Decision problem,Newsvendor model,Systems engineering,Microeconomics,Operations research,Decision theory,Demand management,Supply and demand,Activity-based costing,Stochastic programming
Journal
Volume
Issue
ISSN
61
1
0018-9391
Citations 
PageRank 
References 
5
0.60
14
Authors
3
Name
Order
Citations
PageRank
Anssi Käki150.60
Ahti Salo244534.14
Srinivas Talluri340037.91