{ "cells":[ { "cell_type":"code", "source":[ "@file:Repository(\"https:\/\/repo.kotlin.link\")\n", "@file:DependsOn(\"space.kscience:plotlykt-jupyter:0.5.0\")" ], "execution_count":8, "outputs":[ ], "metadata":{ "datalore":{ "node_id":"HfS15oY8SNHBvPjmbefYtL", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "Plotly.jupyter.notebook()" ], "execution_count":9, "outputs":[ { "data":{ "text\/html":[ "
Plotly notebook integration switch into the legacy mode.<\/div>\n" ] }, "metadata":{ }, "output_type":"display_data" } ], "metadata":{ "datalore":{ "node_id":"YuyqME04fpadggceqziOPH", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"markdown", "source":[ "# API" ], "attachments":{ }, "metadata":{ "datalore":{ "node_id":"Xsajx1IH4TCAM5CqFQWzAF", "type":"MD", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "enum class Severity(val penalty: Double){\n", " MINOR(1.0),\n", " MAJOR(2.0),\n", " CRITICAL(3.0)\n", "}\n", "\n", "enum class State{\n", " OPEN,\n", " ASSIGNED,\n", " RESOLVED\n", "}\n", "\n", "data class Issue(val id: String, val dayCreated: Int, val severity: Severity, val complexity: Int, \n", " var state: State = State.OPEN, var dayAssigned: Int? = null, var dayResolved: Int? = null){\n", " fun activate(day: Int){ \n", " state = State.ASSIGNED\n", " dayAssigned = day\n", " }\n", " \n", " fun resolve(day: Int){\n", " state = State.RESOLVED\n", " dayResolved = day\n", " }\n", " \n", " internal fun tryResolve(day: Int){\n", " if(state == State.ASSIGNED && day >= (dayAssigned ?: 0) + complexity ){\n", " resolve(day)\n", " }\n", " }\n", "}\n", "\n", "class Worker(val name: String){\n", " var currentIssue: Issue? = null\n", " private set\n", " \n", " fun isBusy(): Boolean = currentIssue != null\n", " \n", " fun update(day: Int){\n", " currentIssue?.tryResolve(day)\n", " if(currentIssue?.state == State.RESOLVED){\n", " currentIssue = null\n", " }\n", " }\n", " \n", " fun assign(day: Int, issue: Issue){\n", " if(currentIssue != null) error(\"Can't assign work to a worker which is busy\")\n", " issue.activate(day)\n", " currentIssue = issue\n", " }\n", "}\n", "\n", "interface IssueGenerator{\n", " fun generate(day: Int): List\n", "}\n", "\n", "interface Strategy{\n", " fun selectIssue(day: Int, issues: List): Issue?\n", "}\n", "\n", "class WorkResult(val issues: List, val workers: Int, val days: Int)\n", "\n", "@OptIn(kotlin.ExperimentalStdlibApi::class)\n", "fun simulate(generator: IssueGenerator, strategy: Strategy, numWorkers: Int = 10, days: Int = 100): WorkResult{\n", " val workers = (0 until numWorkers).map{Worker(\"worker $it\")}\n", " val issues = buildList{\n", " for(day in 0 until days){\n", " \/\/update all workers\n", " workers.forEach { it.update(day) }\n", " \/\/generate new issues\n", " val newIssues = generator.generate(day)\n", " addAll(newIssues)\n", " \/\/Select all free workers\n", " workers.filter { !it.isBusy() }.forEach { worker->\n", " val unasigned = filter { it.state == State.OPEN }\n", " val anIssue = strategy.selectIssue(day, unasigned) \/\/select an issue to assign from all unassigned issues\n", " if(anIssue != null){\n", " worker.assign(day, anIssue)\n", " }\n", " }\n", " }\n", " }\n", " return WorkResult(issues, numWorkers, days)\n", "}\n", "\n", "fun WorkResult.computeLoss(): Double = issues.sumOf { \n", " ((it.dayResolved ?: days) - it.dayCreated).toDouble()*it.severity.penalty \n", "} \/ days \/ workers \/ issues.size" ], "execution_count":34, "outputs":[ ], "metadata":{ "datalore":{ "node_id":"q53dZKxH2jHdS3Tpd8KuXw", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"markdown", "source":[ "# Implementations" ], "attachments":{ }, "metadata":{ "datalore":{ "node_id":"d0pwXmjTuPEru3uKTIDDAj", "type":"MD", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "import kotlin.random.Random\n", "import kotlin.math.pow\n", "\n", "\/**\n", "* Generate [issuesPerDay] random issues per day\n", "*\/\n", "class RandomIssueGenerator(seed: Long, val issuesPerDay: Int = 4 ) : IssueGenerator{\n", " private val random = Random(seed)\n", " override fun generate(day: Int): List{\n", " return List(issuesPerDay){\n", " val severity = Severity.values()[random.nextInt(3)]\n", " val complexity = random.nextInt(15)\n", " Issue(\"${day}_${it}\", day, severity, complexity)\n", " }\n", " }\n", "}\n", "\n", "object TakeOldest: Strategy{\n", " override fun selectIssue(day: Int, issues: List): Issue?{\n", " return issues.minByOrNull { it.dayCreated }\n", " }\n", "}\n", "\n", "class TakeRandom(seed: Long): Strategy{\n", " private val random = Random(seed)\n", " override fun selectIssue(day: Int, issues: List): Issue?{\n", " if(issues.isEmpty()) return null\n", " return issues.random(random)\n", " }\n", "}\n", "\n", "object TakeMostLoss: Strategy{\n", " override fun selectIssue(day: Int, issues: List): Issue?{\n", " return issues.maxByOrNull { it.severity.penalty*(day - it.dayCreated) }\n", " }\n", "}\n" ], "execution_count":35, "outputs":[ ], "metadata":{ "datalore":{ "node_id":"dgQ1fKp1c6bgUw9JX1KJdU", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "object TakeCritical: Strategy{\n", " override fun selectIssue(day: Int, issues: List): Issue?{\n", " val maxSeverity = issues.maxByOrNull{it.severity}?.severity ?: return null\n", " return issues.filter{it.severity == maxSeverity}.random()\n", " }\n", "}" ], "execution_count":36, "outputs":[ ], "metadata":{ "datalore":{ "node_id":"xEy6jukH4Dr3fpL9756qbD", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"markdown", "source":[ "# Simulate lossseverity" ], "attachments":{ }, "metadata":{ "datalore":{ "node_id":"Svw7Q0DAlz7Ry91ALvqtqH", "type":"MD", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "val seed = 892L\n", "val days = 100\n", "val workers = 40" ], "execution_count":44, "outputs":[ ], "metadata":{ "datalore":{ "node_id":"0PbQxiuKSnPJJriVmhsa1w", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"markdown", "source":[ "## Take oldest" ], "attachments":{ }, "metadata":{ "datalore":{ "node_id":"Y1k1bR1RBHGwZHYktqsSOy", "type":"MD", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "val result = simulate(RandomIssueGenerator(seed, workers),TakeOldest, days = days)\n", "\/\/result.issues.forEach { println(it)}\n", "result.computeLoss()" ], "execution_count":45, "outputs":[ { "data":{ "text\/plain":[ "0.09711974999999999" ] }, "metadata":{ }, "output_type":"display_data" } ], "metadata":{ "datalore":{ "node_id":"6DIBRaZJ7DvfwfxWg79r7V", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"markdown", "source":[ "## Take random" ], "attachments":{ }, "metadata":{ "datalore":{ "node_id":"1o8tU8B0YxPnuIBpafb1tW", "type":"MD", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "simulate(RandomIssueGenerator(seed, workers),TakeRandom(seed), days = days).computeLoss()" ], "execution_count":46, "outputs":[ { "data":{ "text\/plain":[ "0.0966175" ] }, "metadata":{ }, "output_type":"display_data" } ], "metadata":{ "datalore":{ "node_id":"oFJRRpzc0yJUrQR6zjZGkN", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"markdown", "source":[ "## Take critical" ], "attachments":{ }, "metadata":{ "datalore":{ "node_id":"02plMVcMwARYP50RTPRMQo", "type":"MD", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "simulate(RandomIssueGenerator(seed, workers), TakeCritical, days = days).computeLoss()" ], "execution_count":47, "outputs":[ { "data":{ "text\/plain":[ "0.09535774999999999" ] }, "metadata":{ }, "output_type":"display_data" } ], "metadata":{ "datalore":{ "node_id":"OlWpg3tpsUL34DwfzdGOaf", "type":"CODE", "hide_input_from_viewers":true, "hide_output_from_viewers":true } } }, { "cell_type":"code", "source":[ "val seeds = List(1000){Random.nextLong()}\n", "\n", "Plotly.plot{\n", " trace{\n", " x.numbers = seeds.map{ seed -> simulate(RandomIssueGenerator(seed, workers), TakeOldest, days = days).computeLoss()}\n", " name = \"oldest\"\n", " type = TraceType.histogram\n", " }\n", " trace{\n", " x.numbers = seeds.map{ seed -> simulate(RandomIssueGenerator(seed, workers), TakeRandom(seed), days = days).computeLoss()}\n", " name = \"random\"\n", " type = TraceType.histogram\n", " }\n", " trace{\n", " x.numbers = seeds.map{ seed -> simulate(RandomIssueGenerator(seed, workers), TakeCritical, days = days).computeLoss()}\n", " name = \"critical\"\n", " type = TraceType.histogram\n", " }\n", " trace{\n", " x.numbers = seeds.map{ seed -> simulate(RandomIssueGenerator(seed, workers), TakeMostLoss, days = days).computeLoss()}\n", " name = \"mostLoss\"\n", " type = TraceType.histogram\n", " }\n", " layout{\n", " title = \"Loss distribtution\"\n", " xaxis {\n", " title = \"Loss\"\n", " }\n", " }\n", "}" ], "execution_count":48, "outputs":[ { "data":{ "text\/html":[ "\n", " \n", " \n", " Plotly.kt<\/title>\n", " <script type=\"text\/javascript\" src=\"https:\/\/cdn.plot.ly\/plotly-1.54.6.min.js\"><\/script>\n", " <\/head>\n", " <body>\n", " <div id=\"space.kscience.plotly.Plot@57f2a52d\">\n", " <script>if(typeof Plotly !== \"undefined\"){\n", " Plotly.react(\n", " 'space.kscience.plotly.Plot@57f2a52d',\n", " 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