Operations Management - Network Problems
Key concepts - Earliest And Latest Times
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We can consider (i) Earliest Start Time of an activity and (ii) Earliest Finish Time of an activity.
Key
concepts
Certain key concepts are introduced below.
We can consider (i) Earliest Start Time of an activity and (ii) Earliest Finish Time of an activity.
Earliest Start Time of an activity is the earliest possible time of starting that activity on the condition that all the other activities preceding to it were began at the earliest possible times.
Earliest Finish Time of an activity is the earliest possible time of completing that activity. It is given by the formula.
The Earliest Finish Time of an activity = The Earliest Start Time of the activity + The estimated duration to carry out that activity.
We can consider (i) Latest Finish Time of an activity and (ii) Latest Start Time of an activity.
Latest Finish Time of an activity is the latest possible time of completing that activity on the condition that all the other activities succeeding it are carried out as per the plan of the management and without delaying the project beyond the stipulated time.
Latest Start Time of an activity is the latest possible time of beginning that activity. It is given by the formula
Latest Start Time of an activity = The Latest Finish Time of the activity - The estimated duration to carry out that activity.
Float seeks to measure how much delay is acceptable. It sets up a control limit for delay.
The total float of an activity is the time by which that activity can be delayed without delaying the whole project. It is given by the formula
Total Float of an Activity = Latest Finish Time of the activity - Earliest Finish Time of that activity.
Certain key concepts are introduced below.
Earliest Times Of An Activity
We can consider (i) Earliest Start Time of an activity and (ii) Earliest Finish Time of an activity.
Earliest Start Time of an activity is the earliest possible time of starting that activity on the condition that all the other activities preceding to it were began at the earliest possible times.
Earliest Finish Time of an activity is the earliest possible time of completing that activity. It is given by the formula.
The Earliest Finish Time of an activity = The Earliest Start Time of the activity + The estimated duration to carry out that activity.
LATEST TIMES OF AN ACTIVITY
We can consider (i) Latest Finish Time of an activity and (ii) Latest Start Time of an activity.
Latest Finish Time of an activity is the latest possible time of completing that activity on the condition that all the other activities succeeding it are carried out as per the plan of the management and without delaying the project beyond the stipulated time.
Latest Start Time of an activity is the latest possible time of beginning that activity. It is given by the formula
Latest Start Time of an activity = The Latest Finish Time of the activity - The estimated duration to carry out that activity.
TOTAL FLOAT OF AN ACTIVITY
Float seeks to measure how much delay is acceptable. It sets up a control limit for delay.
The total float of an activity is the time by which that activity can be delayed without delaying the whole project. It is given by the formula
Total Float of an Activity = Latest Finish Time of the activity - Earliest Finish Time of that activity.
It is also given by the formula
Total Float of an Activity =
Latest Start Time of the activity - Earliest Start Time of that activity.
Since a delay in a critical activity will delay the execution of the whole project, the total float of a critical activity must be zero.
An event occurs at a point of time. We can consider (i) Earliest Expected Time of Occurrence of an event and (ii) Latest Allowable Time of Occurrence an event.
The Earliest Expected Time of Occurrence of an event is the earliest possible time of expecting that event to happen on the condition that all the preceding activities have been completed.
The Latest Allowable Time of Occurrence of an event is the latest possible time of expecting that event to happen without delaying the project beyond the stipulated time.
Since a delay in a critical activity will delay the execution of the whole project, the total float of a critical activity must be zero.
EXPECTED TIMES OF AN EVENT
An event occurs at a point of time. We can consider (i) Earliest Expected Time of Occurrence of an event and (ii) Latest Allowable Time of Occurrence an event.
The Earliest Expected Time of Occurrence of an event is the earliest possible time of expecting that event to happen on the condition that all the preceding activities have been completed.
The Latest Allowable Time of Occurrence of an event is the latest possible time of expecting that event to happen without delaying the project beyond the stipulated time.
Tags : Operations Management - Network Problems
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