Title
Allocating procurement to capacitated suppliers with concave quantity discounts
Abstract
We consider a procurement problem where suppliers offer concave quantity discounts. The resulting continuous knapsack problem involves the minimization of a sum of separable concave functions. We identify polynomially solvable special cases of this NP-hard problem, and provide a fully polynomial-time approximation scheme for the general problem.
Year
DOI
Venue
2008
10.1016/j.orl.2007.04.001
Oper. Res. Lett.
Keywords
Field
DocType
concave quantity discount,allocating procurement,general problem,procurement problem,polynomially solvable special case,polynomial-time approximation scheme,np-hard problem,capacitated supplier,separable concave function,continuous knapsack problem,approximation algorithms,np hard problem,knapsack problem,fully polynomial time approximation scheme,nonlinear programming
Approximation algorithm,Mathematical optimization,Combinatorics,Nonlinear programming,Concave function,Continuous knapsack problem,Minification,Knapsack problem,Time complexity,Procurement,Mathematics
Journal
Volume
Issue
ISSN
36
1
Operations Research Letters
Citations 
PageRank 
References 
4
0.48
7
Authors
4
Name
Order
Citations
PageRank
Gerard J. Burke11046.24
Joseph Geunes230828.72
H. Edwin Romeijn376983.88
Asoo J. Vakharia445834.85