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@djw8605
Created January 21, 2015 22:34
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{
"metadata": {
"name": "",
"signature": "sha256:66283d216f5cbbcf045a8232ca145f1026b701308cce65598cc6bc7bc1cf5b2a"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Find the number of jobs running"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We must simulate the starting and stopping of a job. Lets assume that:\n",
"\n",
"1. The stage-in time for a job is 2 minutes.\n",
"1. The stage-out time for a job is instant.\n",
"1. The processing time for a job is 5 hours (300 minutes)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"runningjobs = [] # the array of running jobs\n",
"numrunning = []\n",
"timestamp = 0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"stagein = 2\n",
"processingtime = 300\n",
"stageout = 0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nextstart = timestamp + stagein"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in range(0, 1000):\n",
" if timestamp == nextstart:\n",
" runningjobs.append(timestamp+300)\n",
" nextstart = timestamp + stagein\n",
" \n",
" if len(runningjobs) > 0 and runningjobs[0] <= timestamp:\n",
" runningjobs.pop(0)\n",
" \n",
" numrunning.append(len(runningjobs))\n",
" timestamp += 1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(numrunning)\n",
"plt.ylabel(\"Running Jobs\")\n",
"plt.xlabel(\"Time (m)\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"<matplotlib.text.Text at 0x108420090>"
]
},
{
"metadata": {},
"output_type": "display_data",
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SIpK2AB4F+gPvA78HrgWuAwZGxEJJ2wL5iNitxWfrMmkceSRsuWWyZ4aZWanV/Havkr5F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\nM7Oi/X/8lcg9b/RI5gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1083f6cd0>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see from the plot above, the number of running jobs never reaches above 150."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
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