Chapter 6
Terminology AOA and AON diagrams Determining Project Duration, Critical Path Special
Activity: an element of the project that requires time. Merge Activity: an activity that has two or more preceding activities on which it depends. Parallel (Concurrent) Activities: Activities that can occur independently and, if desired, not at the same time. A C BD
Path: a sequence of connected, dependent activities. Critical path: the longest path through the activity network that allows for the completion of all project- related activities; C ABD
Slack (or Float) – The amount of time an activity can be delayed after the start of a longer parallel activity or activities. Total slack – The amount of time an activity can be delayed without delaying the entire project.
Activity Relationships Activity Relationship AOAAON
Activity Relationships S precedes T, which precedes U. AOAAON 12 S 3 T 4 U STU
Activity Relationships S and T must be completed before U can be started. AOAAON S T U T S 4 U
Activity Relationships T and U cannot begin until S has been completed. AOAAON T U S T U 2 S
Activity Relationships U and V cannot begin until both S and T have been completed. AOAAON U V S T 3 S T U V
Activity Relationships U cannot begin until both S and T have been completed; V cannot begin until T has been completed. AOAAON S T U V 13 Dummy SU TV
Activity Relationships T and U cannot begin until S has been completed; V cannot begin until both T and U have been completed. AOAAON ST 5 V U Dummy STV U
St. Adolf’s Hospital Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff. BSelect site and do site survey. CSelect equipment. DPrepare final construction plans and layout. EBring utilities to the site. FInterview applicants and fill positions in nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment. HConstruct the hospital. IDevelop an information system. JInstall the equipment. KTrain nurses and support staff.
St. Adolf’s Hospital Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E F Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E F G Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E F G H Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E F G H I Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E F G H I J Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network Start A B C D E F G H I J K Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AON Network FinishStart A B C D E F G H I J K Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network A Start 1 2 Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network A B Start Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network A B C D Start Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network F A B C D H E G I Start Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network F A B C D H E G J I Start Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network F A B C D H E G J I Dummy Start Example 8.1
Immediate ActivityDescriptionPredecessor(s)Responsibility ASelect administrative and medical staff.—Johnson BSelect site and do site survey.—Taylor CSelect equipment.AAdams DPrepare final construction plans and layout.BTaylor EBring utilities to the site.BBurton FInterview applicants and fill positions inAJohnson nursing, support staff, maintenance, nursing, support staff, maintenance, and security. and security. GPurchase and take delivery of equipment.CAdams HConstruct the hospital.DTaylor IDevelop an information system.ASimmons JInstall the equipment.E,G,HAdams KTrain nurses and support staff.F,I,JJohnson St. Adolf’s Hospital AOA Network F A B C D H E G K J I Finish 9 Dummy Start Figure 8.5 Example 8.1
St. Adolf’s Hospital Forward Pass: Earliest Start & Earliest Finish
St. Adolf’s Hospital A 12 K6K6 C 10 G 35 J4J4 H 40 B9B9 D 10 E I 15 F Backward Pass: Latest Start and Latest Finish Times Finish Start
Laddering – Activities are broken into segments so the following activity can begin sooner and not delay the work. Lags – The minimum amount of time a dependent activity must be delayed to begin or end. Hammock