Project Planning and Scheduling
- Introductory topics in computational techniques of PERT and CPM
Functions of project management
Drawing rules for different types of network configuration
Revision in the activity definition in the stage of time estimation
- Condensing and expanding network of project
Necessary computations to determine critical path for different types of network configuration and grouping the activities
Resource allocation with limited and unlimited sources and long range resource allocation
- Study the relation between time and cost of project and determination of optimal point for project completion time
Dynamic method of planning and control of project based network configuration
Computational technique of PERT: traditional PERT, Monte Carlo simulation and statistical PERT
- A accounting system for network costs: PERT/COST
Analysis and control of project costs -cost curve for activities and departments
Maximum flow problem in a network, different algorithms of solution procedure and corresponding theorems
- Shortest route problem and solution algorithm
Definition of chain, path, tree, sub graph, and partial graph
Minimum spanning tree problem and solution algorithm
- Min-Cost Max-Flow problem and solution algorithm
Flowgraph, fundamental nodes, path, loop
Solution procedures to solve flowgraph- topology equations
- Path inversion in flowgraph for contributive and distributive nodes
Other topics in the analysis of flowgraph and cases of application
Decision tree and its application
- GERT: An analytical approach to solve stochastic networks
Counters and conditional moment generating functions for GERT networks
Fundamental configurations-series system, parallel system and loop system
- Steps should be taken to solve problems with GERT approach
Various applications of GERT
Analytical approach for ANDand and Inclusive-or nodes
- Queueing analysis, inventory systems, and reliability systems
Modeling acceptance sampling plans in quality control using GERT
Management of research and development projects
- GERT as a tool for use in the management function
Development of heuristic methods to solve multi-project resource allocation problem
Introduction of dominant criteria in the allocation of renewable sources to the activities of a deterministic project
- Generalization of Min LS and Min LF criteria to allocate constraint renewable sources to the activities of stochastic projects
Problem of allocating multisource to stochastic project
Resource allocation of un-renewable sources to the activities of a project with time-dependent-sources
- Development of best method to achieve distribution function of project completion time
Stochastic networks, analytical and numerical methods
An analytical approach to compute distribution function of project completion time, Guassian quadrature formula
- Conditional Monte Carlo simulation and crude simulation methods
Some applications of stochastic networks in the analysis of industrial engineering problems
Applying Monte Carlo method to compute definite multiple integrals
- Computing probability of paths to be critical
Stochastic networks, approximating distribution function of project completion time and criticality index
Application of Laplace transform to determine distribution function of project completion time
- Path critical index and activity critical index in a network
Simulation and stochastic network
- Application of simulation in stochastic networks
New developed concepts