{"id":226,"date":"2016-10-04T09:49:31","date_gmt":"2016-10-04T09:49:31","guid":{"rendered":"http:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/?p=226"},"modified":"2016-10-10T09:27:15","modified_gmt":"2016-10-10T09:27:15","slug":"criticality-of-tasks-within-project-management","status":"publish","type":"post","link":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/?p=226","title":{"rendered":"Criticality of Tasks within Project Management"},"content":{"rendered":"<p><a href=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-2.png\" rel=\"attachment wp-att-228\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-228 alignleft\" src=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-2-300x166.png\" alt=\"Example project with 5 phases and 6 tasks labeled\" width=\"300\" height=\"166\" srcset=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-2-300x166.png 300w, https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-2-250x138.png 250w, https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-2-150x83.png 150w, https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-2.png 534w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Student: Ashley Peternella<br \/>\nSupervisor: Dr. Jean Derks<br \/>\nSemester: 2015-2016<\/p>\n<h2>Problem statement and motivation:<\/h2>\n<p>Project managers are charged with the responsibility of managing all the tasks within a project to ensure that the project is completed within an agreed deadline, with a certain quality, and for an agreed price. To know how much attention they need to invest in each task, managers need a measure that can capture the feature of \u2018criticality\u2019 of the tasks of a specified project. Criticality is defined as the importance of managing the duration of a task.<\/p>\n<figure id=\"attachment_227\" aria-describedby=\"caption-attachment-227\" style=\"width: 223px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph.png\" rel=\"attachment wp-att-227\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-227\" src=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-223x300.png\" alt=\"Changing a task's link \" width=\"223\" height=\"300\" srcset=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-223x300.png 223w, https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph-112x150.png 112w, https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/Peternella-graph.png 467w\" sizes=\"auto, (max-width: 223px) 100vw, 223px\" \/><\/a><figcaption id=\"caption-attachment-227\" class=\"wp-caption-text\">Changing a task&#8217;s link to test criticality based on dependency<\/figcaption><\/figure>\n<p>Inspired by the pessimistic bankruptcy game for the problem of cost sharing, this article explores the idea of using the combination of cooperative game theory and the Shapley value as a method for capturing the expected features of criticality.<\/p>\n<p>Those features are: correlation between task duration and duration of the entire project, probability of being on \u2018the critical path\u2019, relation to other tasks, and task dependencies.<\/p>\n<p>The research presented will show that pessimistic games in their purist forms only further formalise the concept of cruciality, which is the importance of managing the duration- uncertainty of tasks. An adapted method is created, which will be proven to capture the desired features of criticality, and serve as proof of concept.<\/p>\n<h2>Research hypothesis:<\/h2>\n<p>Cooperative game theory could help define the feature of criticality of tasks within project management.<\/p>\n<h2>Major outcome:<\/h2>\n<p>The adapted method seems to capture all desired features of criticality and thus serves as proof of concept.<\/p>\n<h2>References:<\/h2>\n<ul>\n<li>Branzei, R., Ferrari, G., Fragnelli, V., and Tijs, S. (2002). Two approaches to the problem of sharing delay costs in joint projects. Annals of Operational Research, Vol. 109, pp. 359\u2013374.<\/li>\n<li>Castro, J., Daniel, G., and Tejada, J. (2007). A project game for PERT networks. Operations Research Letters 35, pp. 791\u2013798.<\/li>\n<li>Elmaghraby, S.E. (2000). On criticality and sensitivity in activity networks. European Journal of Operational Research, Vol. 127, No. 2, pp. 220\u2013238.<\/li>\n<li>Steiner, G.A. (1969). Top management planning macmillan. Quoted on page 481 of Project Management Handbook, 2nd edition.<\/li>\n<li>Williams, T. (2003). The contribution of mathematical modelling to the practice of project management. IMA J Management Math, Vol. 14, No. 1, pp. 3\u201330.<\/li>\n<\/ul>\n<p>Download: <a href=\"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/wp-content\/uploads\/2016\/10\/BT-Peternella-criticality-tasks-project-10.pdf\" target=\"_blank\" rel=\"\">Report<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Student: Ashley Peternella Supervisor: Dr. Jean Derks Semester: 2015-2016 Problem statement and motivation: Project managers are charged with the responsibility of managing all the tasks within a project to ensure that the project is completed within an agreed deadline, with a certain quality, and for an agreed price. To know how much attention they need [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":228,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,29],"tags":[51,49,50],"class_list":["post-226","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bachelor-thesis","category-nso","tag-cost-sharing","tag-game-theory","tag-project-management"],"_links":{"self":[{"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/posts\/226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=226"}],"version-history":[{"count":8,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/posts\/226\/revisions"}],"predecessor-version":[{"id":243,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/posts\/226\/revisions\/243"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=\/wp\/v2\/media\/228"}],"wp:attachment":[{"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/project.dke.maastrichtuniversity.nl\/studentprojects\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}