Critical Path in Network Analysis
Basic Scheduling Computations
The notations used are
(i, j) is Activity with tail event i and head event j
Ei is Earliest occurrence time of event i
Lj is Latest allowable occurrence time of event j
Dij is Estimated completion time of activity (i, j)
(Es)ij is Earliest starting time of activity (i, j)
(Ef)ij is Earliest finishing time of activity (i, j)
(Ls)ij is Latest starting time of activity (i, j)
(Lf)ij is Latest finishing time of activity (i, j)
The process is as follows
The calculation commences from the start node and goes towards the end node. For easiness, the forward pass computation begins by assuming the first occurrence time of zero for the first project event.
i. Earliest starting time of activity (i, j) is also the earliest event time of the tail end event, that is (Es)ij = Ei
ii. Earliest finish time of activity (i, j) is also the earliest starting time + the activity time, that is (Ef)ij = (Es)ij + Dij or (Ef)ij = Ei + Dij
iii. Earliest event time for event j is the maximum of the earliest finish times of each and every activities end in to that event, that is Ej = max [(Ef)ij for all immediate predecessor of (i, j)] or Ej =max [Ei + Dij]
For end event suppose E = L. Remember that all E's have been calculated by forward pass computations.
Latest finish time for activity (i, j) is equivalent to the latest event time of event j, that is (Lf)ij = Lj
Latest starting time of activity (i, j) is equal to the latest completion time of (i, j) - the activity time or (Ls)ij =(Lf)ij - Dij or (Ls)ij = Lj - Dij
Latest event time for event 'i' is the least of the latest start time of all activities originating from that event, that is Li = min [(Ls)ij for all immediate successor of (i, j)] = min [(Lf)ij - Dij] = min [Lj - Dij]
There are three types of floats
Mathematically
(Tf)ij = (Latest start - Earliest start) for activity ( i - j)
(Tf)ij = (Ls)ij - (Es)ij or (Tf)ij = (Lj - Dij) - Ei
(Ff)ij = (Earliest time for event j - Earliest time for event i) - Activity time for ( i, j)
(Ff)ij = (Ej - Ei) - Dij
(If)ij = (Ej - Li) - Dij
The negative independent float is always considered as zero.
Head event slack = Lj - Ej, Tail event slack = Li - Ei
tutorsglobe.com mechanism of stomatal closing and opening assignment help-homework help by online water transport tutors
solutions and phase equilibrium tutorial all along with the key concepts of pure substances and solutions, differentiating between pure substances and solutions, phase equilibrium and definition of phase
theory and lecture notes of turing machines and algorithm all along with the key concepts of turing machines, algorithm, hilbert’s formulation, simple operation of turing machines. tutorsglobe offers homework help, assignment help and tutor’s assistance on turing machines and algorithm.
Organic Synthesis tutorial all along with the key concepts of Synthesis of Organic Molecules, Organic Synthesis in the 20th Century, Different Aspects of Organic Synthesis, General area of organic synthesis and Importance of Organic Synthesis
tutorsglobe.com epistasis assignment help-homework help by online genetics tutors
Introduction to Quantum Chemistry tutorial all along with the key concepts of History of Quantum Mechanics, Electronic structure, Wave model, Valence bond, Molecular orbital, Density functional theory, Chemical dynamics, Adiabatic chemical dynamics
www.tutorsglobe.com offers reaction energetics homework help, reaction energetics assignment help, online tutoring assistance, organic chemistry solutions by online qualified tutor's help.
tutorsglobe.com economic importance of bryophyte assignment help-homework help by online bryophytes tutors
tutorsglobe.com environmental biology assignment help-homework help by online botany tutors
tutorsglobe.com buffers assignment help-homework help by online cell membrane tutors
Human genetics tutorial all along with the key concepts of The human karyotype, Human chromosomal abnormalities, Types of chromosomal abnormality, Human Allelic Disorders, Sex-linked Traits, Diagnosis of Human Genetic Diseases
Relieve your academic burden with PhD Digital Circuitry Assignment Help experts at affordable prices and score impeccable grades.
Theory and lecture notes of Future of Macroeconomics all along with the key concepts of future of macroeconomics, Past of Macroeconomics, Age of John Maynard Keynes, Real Business Cycle Theory, Keynesian Economics. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Future of Macroeconomics.
Synthesis and Reactions of Benzofuran and Benzothiophene tutorial all along with the key concepts of Physical and Chemical Properties, Synthesis of Benzofuran and Benzothiophenes
carbon and its compounds tutorial all along with the key concepts of allotropes of carbon, diamond, graphite, amorphous carbon, properties of carbon, chemical properties of carbon, oxides of carbon and carbon cycle in nature
1959212
Questions Asked
3689
Tutors
1473981
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!