Title
Lot sizing models with backlog or out-sourcing
Abstract
This work addresses a single item capacitated dynamic lot sizing problem. We consider backlogging models as well as out-sourcing models to minimize the total cost. The production, holding and backlogging or out-sourcing cost functions considered in This work are arbitrary and time-varying. Due to various capacity constraints, it is possible that no feasible solution exists. We give a necessary and sufficient condition for there to be a feasible solution and show that this condition can be checked in polynomial time. When feasible solutions exist, we show that an optimal solution can be obtained in pseudo-polynomial time with dynamic programming algorithms. We then address polynomially solvable special cases of stockout and conservation models.
Year
DOI
Venue
2004
10.1109/ICSMC.2004.1401214
SMC (5)
Keywords
Field
DocType
pseudopolynomial time,lot sizing,dynamic programming algorithms,capacitated lot-sizing,cost functions,outsourcing,backlogging,backlogging models,dynamic programming,lot sizing models,out-sourcing,outsourcing models,dynamic programming algorithm,polynomial time,cost function
Dynamic programming,Mathematical optimization,Computer science,Outsourcing,Sizing,Time complexity,Total cost,Stockout
Conference
Volume
ISSN
ISBN
5
1062-922X
0-7803-8566-7
Citations 
PageRank 
References 
2
0.55
2
Authors
3
Name
Order
Citations
PageRank
Feng Chu1103078.80
Chengbin Chu21486126.84
Xiao LIU3598.40