Paper Info
Title
Asynchronous regulation of service speed in inventory-production systems with time-varying positive demand
Abstract
This paper deals with an inventory-production system in which raw parts are transformed into processed parts, in order to satisfy a time-varying positive demand over a given time horizon. The production resource is capacitated whereas the inventory is unbounded; the external demand is known and is expressed as a piecewise constant function changing at asynchronous time instants. The objective is to find the optimal service speed pattern, assumed to be a piecewise constant function, which minimizes setup, production, and holding costs; hence, the decisions concern both the values of the service speed and the (asynchronous) time instants at which it changes. The optimization problem defined for this class of systems has a parametric structure and includes both nonlinear and combinatorial aspects. In the paper, some structural properties of any optimal solution are firstly proven, and then a solution procedure that allows finding an optimal solution in polynomial times is provided.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160892
Decision and Control and European Control Conference
Keywords
Field
DocType
combinatorial mathematics,inventory management,optimisation,production planning,time-varying systems,asynchronous regulation,asynchronous time instant,combinatorial aspect,inventory-production system,nonlinear aspect,optimal service speed pattern,optimization problem,parametric structure,piecewise constant function,time-varying positive demand
Asynchronous communication,Mathematical optimization,Time horizon,Polynomial,Computer science,Control theory,Holding cost,Constant function,Production planning,Optimization problem,Piecewise
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-61284-799-3
978-1-61284-799-3
1
PageRank 
References 
Authors
0.40
8
3
Name
Order
Citations
PageRank
Davide Giglio13512.05
Simona Sacone212932.17
Silvia Siri38821.27