• Markov chains are random, memoryless stochastic processes with a discrete state space. In essence, it is a system which changes states based on given probabilities, andthose probabilities depend only on the current state, not past states. • For example, you’re shopping at three stores. Each hour, you can decide to stay at the store, or go to a new one. If you are at any store, there is a 20% chance you stay at the store, or a 40% chance you change stores.
{"title":"Markov Chains","authors":"Kevin J. Hastings","doi":"10.1201/9781315275987-4","DOIUrl":"https://doi.org/10.1201/9781315275987-4","url":null,"abstract":"• Markov chains are random, memoryless stochastic processes with a discrete state space. In essence, it is a system which changes states based on given probabilities, andthose probabilities depend only on the current state, not past states. • For example, you’re shopping at three stores. Each hour, you can decide to stay at the store, or go to a new one. If you are at any store, there is a 20% chance you stay at the store, or a 40% chance you change stores.","PeriodicalId":159329,"journal":{"name":"Introduction to the Mathematics of Operations Research with Mathematica®","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117099672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Further Topics in Linear Programming","authors":"Kevin J. Hastings","doi":"10.1201/9781315275987-3","DOIUrl":"https://doi.org/10.1201/9781315275987-3","url":null,"abstract":"","PeriodicalId":159329,"journal":{"name":"Introduction to the Mathematics of Operations Research with Mathematica®","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123207230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Continuous Time Processes","authors":"Kevin J. Hastings","doi":"10.1201/9781315275987-5","DOIUrl":"https://doi.org/10.1201/9781315275987-5","url":null,"abstract":"","PeriodicalId":159329,"journal":{"name":"Introduction to the Mathematics of Operations Research with Mathematica®","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116669052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Graph Theory and Network Analysis","authors":"Kevin J. Hastings","doi":"10.1201/9781315275987-1","DOIUrl":"https://doi.org/10.1201/9781315275987-1","url":null,"abstract":"","PeriodicalId":159329,"journal":{"name":"Introduction to the Mathematics of Operations Research with Mathematica®","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126867272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-24DOI: 10.1017/9781108347976.005
Kevin J. Hastings
{"title":"Linear Programming","authors":"Kevin J. Hastings","doi":"10.1017/9781108347976.005","DOIUrl":"https://doi.org/10.1017/9781108347976.005","url":null,"abstract":"","PeriodicalId":159329,"journal":{"name":"Introduction to the Mathematics of Operations Research with Mathematica®","volume":"157 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134410907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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