[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-239415-105":53,"doc-detail-239415-en":126},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":119,"head_meta":121,"extra_data":123,"updated_unix":125},105,"en","project-management-network-diagrams-overview","Project Management Network Diagrams - Overview","","Project Management Network Diagrams presents core planning instruments used to model project work and schedule activities. The material contrasts Gantt charts with network diagrams, highlighting how network representations link activities toward a single objective, enable feasibility checks, and support resource allocation. It explains how graphs are built from nodes and arrows, describes graph types, and introduces activity-on-arrow and activity-on-node network structures with precedence relationships, including dummy activities and milestones.",{"@graph":63,"@context":118},[64,80,101],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":11,"@type":70,"position":76},"https://docshare.wps.com/template/presentations/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/project-management-network-diagrams-overview/239415/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/project-management-network-diagrams-overview/239415.png","ImageObject",442,249,{"name":88,"@type":89},"Ivy","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-27","2026-09-11",true,{"@type":98,"interactionType":99,"userInteractionCount":20},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"How do network diagrams differ from Gantt charts in project planning?","Question",{"text":108,"@type":109},"Gantt charts display start and end times for activities against a time scale, while network diagrams provide a systemic representation by linking activities toward an overall objective.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"What key benefits do network diagrams provide for scheduling and feasibility?",{"text":113,"@type":109},"Network diagrams help construct logical and schedule models, verify project feasibility, and allocate resources correctly based on the linked activities.",{"name":115,"@type":106,"acceptedAnswer":116},"What is the purpose of dummy activities and dummy events in AOA/AON networks?",{"text":117,"@type":109},"Dummy activities establish precedence constraints without duration or resource use, and dummy events (milestones) can be used to represent relationships between activities.","https://schema.org",{"og:url":78,"og:type":120,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":122,"canonical":78},"index,follow",{"doc_id":124,"site_id":56},239415,1791716916,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":8,"category_name":11,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":20,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":135,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":141},549758252649,"https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819","Project Management Network Diagrams  \nProf. Mauro Mancini  \n[e-mail: Mauro.Mancini@polimi.it](e-mail: Mauro.Mancini@polimi.it)  \ntel.: +39-02-23994057 POLITECNICO DI MILANO  \nDepartment of Management, Economics and Industrial Engineering  \nMauro Mancini ©  \nPlanning’s Instruments  \nMILESTONES GANTT CHARTS S CURVES  \nNETWORK DIAGRAMS SPACE-TIME DIAGRAMS  \nDATA TABLES  \nMauro Mancini © 2  \nPrecedence Chart  \nMauro Mancini © 3  \nGantt Chart  \nSchedule  \nActivities  \nMauro Mancini © 4  \n\n| Resources Scheduling |\n| --- |\n| Resources\u003Cbr>\u003Cbr>Schedule\u003Cbr>\u003Cbr>|\n| Mauro Mancini © 5 |\n\n\n| Pattern |  |\n| --- | --- |\n| | |\n| Mauro Mancini © 6 |  |\n\nGantt Chart  \nGantt Chart shows when the project and each activity start and end against a horizontal timescale (bar chart)  \nSteps:  \n• Activities have to be sequenced  \n• Activity’s duration has to be estimated  \n• Gantt Chart can be drafted and refined  \nMauro Mancini © 7  \nGantt Chart Advantages  \nEasy elaboration  \nDirect graphics  \nPossibility to easy evaluate the resources requested by the whole activities  \nMauro Mancini © 8  \nGantt Chart Limitations  \nSuitable for projects composed by few activities It (usually) doesn’t indicate the logical relationships between activities  \nMauro Mancini © 9  \nNetwork Diagrams  \nUnlike the Gantt chart, the network diagrams show a systemic project representation. In this way they allow to define the project like the whole linked activities oriented to an unique objective.  \nMauro Mancini © 10  \nNetwork Diagrams  \nProject operative model“What if” analysis  \nMauro Mancini © 11  \nNetwork Diagrams  \nThey allow to link together activities (or work package) making possible:  \n• the construction of logical model  \n• the construction of schedule model  \n• to verify the project’s feasibility  \n• to correctly allocate the activities’resources  \nMauro Mancini © 12  \nNetwork Diagrams  \nThey allow to link together activities (or work package) making possible:  \n• to give a inter-functional visibility  \n• to individualize the critical activities  \n• to simulate the impact from time and cost variations or, more generally, from eventual problems or corrective actions  \nMauro Mancini © 13  \nGraphs  \nA graph is a set of nodes linked by arrows, their sequence define a path.  \nIf the arrows have a sense, the graph is called oriented.  \nMauro Mancini © 14  \nGraphs types  \nWithout circuits  \nWith circuits  \nWith certain paths  \nWith uncertain paths  \nWith “AND nodes”  \nWith “OR nodes”  \nWith probabilistic node  \nMauro Mancini © 15  \n\n| Graphs types |\n| --- |\n| \u003Cbr>Activity on arrow\u003Cbr>Activity A Activity B\u003Cbr>\u003Cbr>Start A Case End A Case / Start B Case End B Case\u003Cbr>Activity on node |\n| \u003Cbr>Activity A – Activity B\u003Cbr>Connection\u003Cbr>Mauro Mancini © 16 |\n\nExample 1 – Activity on arrow  \nMauro Mancini © 17  \nAOA Networks  \nFINISH TO START links  \nDummy activities requested  \nThe dummy activities are not characterized by duration or resources’ use. They only establish precedence constraints between the activities  \nMauro Mancini © 18  \nAON Networks  \nLink types  \n– Finish to Start  \n– Start to Start  \n– Finish to Finish  \n– Start to Finish  \nEach activity can have more than one “input and output”link  \nBetween two activities is possible to have two different types of link  \nDummy events (milestones) can be used  \nMauro Mancini © 19  \nExample 2 – Activity on node  \nMauro Mancini © 20","cbCair1q4Q6MS8uK","https://ap.wps.com/l/cbCair1q4Q6MS8uK","pdf",974749,37,"English","# Planning’s Instruments\n## Milestones, Gantt Charts, S-Curves\n## Network Diagrams and Space-Time Diagrams\n# Gantt Chart\n## Steps and Advantages\n## Limitations\n# Network Diagrams\n## Systemic representation and linkage of activities\n## Graphs and graph types\n# AOA and AON Networks\n## Link types and dummy activities/events","[{\"question\":\"How do network diagrams differ from Gantt charts in project planning?\",\"answer\":\"Gantt charts display start and end times for activities against a time scale, while network diagrams provide a systemic representation by linking activities toward an overall objective.\"},{\"question\":\"What key benefits do network diagrams provide for scheduling and feasibility?\",\"answer\":\"Network diagrams help construct logical and schedule models, verify project feasibility, and allocate resources correctly based on the linked activities.\"},{\"question\":\"What is the purpose of dummy activities and dummy events in AOA/AON networks?\",\"answer\":\"Dummy activities establish precedence constraints without duration or resource use, and dummy events (milestones) can be used to represent relationships between activities.\"}]","Project Management Network Diagrams - Overview | PDF",1789148540,13]