{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains material from [CBE40455-2020](https://jckantor.github.io/CBE40455-2020);\n", "content is available [on Github](https://github.com/jckantor/CBE40455-2020.git).*\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [3.8 Modeling and Simulation of a Grocery Store Checkout Operation](https://jckantor.github.io/CBE40455-2020/03.08-Modeling-and-Simulation-of-a-Grocery-Store-Checkout-Operation.html) | [Contents](toc.html) | [3.10 Objected-Oriented Simulation](https://jckantor.github.io/CBE40455-2020/03.10-Creating-Simulation-Classes.html) >
"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 1,
"link": "[3.9 Refinements of a Grocery Store Checkout Operation](https://jckantor.github.io/CBE40455-2020/03.09-Refinements-to-the-Grocery-Store-Checkout-Operation.html#3.9-Refinements-of-a-Grocery-Store-Checkout-Operation)",
"section": "3.9 Refinements of a Grocery Store Checkout Operation"
}
},
"source": [
"# 3.9 Refinements of a Grocery Store Checkout Operation"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"nbpages": {
"level": 1,
"link": "[3.9 Refinements of a Grocery Store Checkout Operation](https://jckantor.github.io/CBE40455-2020/03.09-Refinements-to-the-Grocery-Store-Checkout-Operation.html#3.9-Refinements-of-a-Grocery-Store-Checkout-Operation)",
"section": "3.9 Refinements of a Grocery Store Checkout Operation"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Requirement already satisfied: simpy in /Users/jeff/opt/anaconda3/lib/python3.7/site-packages (4.0.1)\n"
]
}
],
"source": [
"!pip install simpy"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"nbpages": {
"level": 1,
"link": "[3.9 Refinements of a Grocery Store Checkout Operation](https://jckantor.github.io/CBE40455-2020/03.09-Refinements-to-the-Grocery-Store-Checkout-Operation.html#3.9-Refinements-of-a-Grocery-Store-Checkout-Operation)",
"section": "3.9 Refinements of a Grocery Store Checkout Operation"
}
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import random\n",
"import simpy\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 3,
"link": "[3.9.1 Solution 1. ](https://jckantor.github.io/CBE40455-2020/03.09-Refinements-to-the-Grocery-Store-Checkout-Operation.html#3.9.1-Solution-1.)",
"section": "3.9.1 Solution 1. "
}
},
"source": [
"### 3.9.1 Solution 1. \n",
"\n",
">The default values for the model are 4 lanes, 1 new customer each minute, up to 25 items per cart, and each checkout server can process 10 items per minute. Rerun the simulation to determine the minimum number of lanes required for a stationary behavior. For this purpose, you may find it useful to extend the simulation from 60 minutes to a longer horizon.\n",
"\n",
"* Increasing the solution horizon to 600 minutes helps detect non-stationary behavior.\n",
"* The number of checkout lanes is reduced by changing the value of N. \n",
" * N = 1 ==> non-stationary behavior evident in the increasing queue lengths\n",
" * N = 2 ==> stationary behavior\n",
"\n",
"The conclusion is that at least 2 checkout lanes are required."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"nbpages": {
"level": 3,
"link": "[3.9.1 Solution 1. ](https://jckantor.github.io/CBE40455-2020/03.09-Refinements-to-the-Grocery-Store-Checkout-Operation.html#3.9.1-Solution-1.)",
"section": "3.9.1 Solution 1. "
}
},
"outputs": [
{
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\n",
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],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}