In this paper, we extend the knapsack problem to include more realistic situations by treating the rewards (or values) associated with each item included in the solution as random variables with ...

The number of available items is infinite (unbounded).<BR><BR>I've implemented a few of the usual solutions to this problem using recursion/memoization and dynamic programming but the solutions do ...

View on Coursera Course Description This course is part three of a specialization on algorithms and data structures. It covers basic algorithm design techniques such as divide and conquer, dynamic ...

This paper shows how branch-and-bound methods can be used to reduce storage and, possibly, computational requirements in discrete dynamic programs. Relaxations and fathoming criteria are used to ...

Dynamic programming is guaranteed to give you a mathematically optimal (highest scoring) solution. Whether that corresponds to the biologically correct alignment is a problem for your scoring ...