Accepted author manuscript
Research output: Working paper
}
TY - UNPB
T1 - Improvable Knapsack Problems
AU - Goerigk, Marc
AU - Sabharwal, Yogish
AU - Schöbel, Anita
AU - Sen, Sandeep
PY - 2016/7/28
Y1 - 2016/7/28
N2 - We consider a variant of the knapsack problem, where items are available with different possible weights. Using a separate budget for these item improvements, the question is: Which items should be improved to which degree such that the resulting classic knapsack problem yields maximum profit? We present a detailed analysis for several cases of improvable knapsack problems, presenting constant factor approximation algorithms and two PTAS.
AB - We consider a variant of the knapsack problem, where items are available with different possible weights. Using a separate budget for these item improvements, the question is: Which items should be improved to which degree such that the resulting classic knapsack problem yields maximum profit? We present a detailed analysis for several cases of improvable knapsack problems, presenting constant factor approximation algorithms and two PTAS.
M3 - Working paper
BT - Improvable Knapsack Problems
ER -