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Simulating PRAM with a MSIMD model (ASC), Article in IEEE Xplore



Simulating PRAM with a MSIMD model (ASC), Darrell Ulm

An IEEE Xplore article reference for computer science paper about algorithmic computational simulation and complexities involved.

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Scala Version of Approximation Algorithm for Knapsack Problem for Apache Spark

This is the Scala version of the approximation algorithm for the knapsack problem using Apache Spark.

I ran this on a local setup, so it may require modification if you are using something like a Databricks environment. Also you will likely need to setup your Scala environment.

All the code for this is at GitHub

First, let's import all the libraries we need.

import org.apache.spark._ import org.apache.spark.rdd.RDD import org.apache.spark.SparkConf import org.apache.spark.SparkContext._ import org.apache.spark.sql.DataFrame import org.apache.spark.sql.SparkSession import org.apache.spark.sql.functions.sum We'll define this object knapsack, although it could be more specific for what this is doing, it's good enough for this simple test.

object knapsack {
Again, we'll define the knapsack approximation algorithm, expecting a dataframe with the profits and weights, as well as W, a total weight.

def knapsackApprox(knapsackDF: DataFrame, W: Double): DataFrame = {
Calculate t…

Apache Spark Knapsack Approximation Algorithm in Python

The code shown below computes an approximation algorithm, greedy heuristic, for the 0-1 knapsack problem in Apache Spark. Having worked with parallel dynamic programming algorithms a good amount, wanted to see what this would look like in Spark.

The Github code repo. for the Knapsack approximation algorithms is here, and it includes a Scala solution. The work on a Java version is in progress at time of this writing.

Below we have the code that computes the solution that fits within the knapsack W for a set of items each with it's own weight and profit value. We look to maximize the final sum of selected items profits while not exceeding the total possible weight, W.

First we import some spark libraries into Python.

# Knapsack 0-1 function weights, values and size-capacity. from pyspark.sql import SparkSession from pyspark.sql.functions import lit from pyspark.sql.functions import col from pyspark.sql.functions import sum
Now define the function, which will take a Spark Dataframe w…