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A Simulation based Optimization Study  of Dynamic Crashing A Simulation based Optimization Study  of Dynamic Crashing

A Simulation based Optimization Study of Dynamic Crashing - PowerPoint Presentation

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A Simulation based Optimization Study of Dynamic Crashing - PPT Presentation

Masters Thesis Proposal by Krishna Neelakanta University of Colorado Colorado Springs Fall 2009 Page 1 Introduction TimeCost Tradeoff in Project Management Crashing a Project Schedule ID: 469486

thesis project proposal simulation project thesis simulation proposal page krishna crashing neelakanta model network based dynamic optimization collaborative simulator

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Slide1

A Simulation based Optimization Study of Dynamic Crashing in Collaborative Projects Masters Thesis Proposal by

Krishna NeelakantaUniversity of Colorado, Colorado SpringsFall 2009

Page

1Slide2

IntroductionTime-Cost Tradeoff in Project ManagementCrashing a Project Schedule

Deployment of additional Resources to activities or other means to minimize costBalance Crashing costs and Penalty CostsAim to minimize total cost while delivering the project on timeHow can we model collaborative projects as a project network

Introduce dynamic re-evaluation of optimal crashing configuration for the project network

Evaluate the model via simulation

Page

2

Krishna Neelakanta Thesis ProposalSlide3

Krishna Neelakanta Thesis Proposal

Page 3A Typical Project Network

A Project Network with task dependenciesSlide4

Project Time-Cost Tradeoff Page 4

10/08/2004Krishna Neelakanta Thesis ProposalSlide5

Static vs Dynamic CrashingStatic Crashing

Evaluate critical pathRun an LP optimizer on the critical path to identify tasks that need to be crashedLP optimizer tries to minimize Project Penalty + Crashing costDynamic CrashingThe initial step is similar to Static CrashingRe-evaluate project network at different points in project network, by accounting for task completed or underway (sunken costs at that point in time)

Optimize the reminder of the project via LP optimizer

Page

5

Krishna Neelakanta Thesis ProposalSlide6

Related WorkCritical Path Method (CPM) and Project Evaluation Review Technique (PERT) have been around since 1950sCPM – Repeatable activities from previous experience. Low variance

PERT – More focus on research type projects and activity times are uncertain.PERT/CPM is now one area – Hillier and Lieberman [4]Simulation is a tool used commonly for Project Mgmt. Williams [5]Activity times are not certain. CPM falls short hereProject managers want to determine the optimal crashing configurationIndustrial Strength COMPASS (ISC) Hong and Nelson 2006 [6] – convergent, discrete optimization via simulation

Dynamic Crashing approach in simulation based optimization outlined in

Kuhl

et.al (2008) [7]. Basis for extending the work.

Page 6

Krishna Neelakanta Thesis ProposalSlide7

Goal of the ThesisDesign a model/template Project Network for Collaborative efforts.Address Bottlenecks, context based handoff’s, reviews, addition of tasks in mid project in the model

Develop a simulation-based dynamic optimization method for the generalized stochastic time-cost tradeoff decision problemShould include the initial evaluation to determine optimal configurationShould include dynamic re-evaluation to determine optimal configuration as the project progressesImplement the simulation-based optimization tool in a Project Management tool like Microsoft Project

Page

7

Krishna Neelakanta Thesis ProposalSlide8

Design a model/template Project Network for Collaborative efforts.The model should address bottlenecks, context based handoff’s, review processes, addition of tasks in mid projectBuild a simulator to test the model

Hook up the simulator to a proven industrial strength Linear Programming Optimizer to evaluate crashing points, optimal crashing configuration. Use the Industrial Strength COMPASS – Nelson et.al [8] Perform dynamic re-evaluation and crashing of the project networkQuestions that we would like to answer.

Distribution of project completion times, Project Costs and Savings

How does a Collaborative Project compare with a Traditional Project (network on Slide 3)

Integrate the proposed model into an Common Project Management Tool like MS Project

How does the model perform for larger project networks.

Krishna Neelakanta Thesis Proposal

Page

8

Thesis ApproachSlide9

Initial ParametersInitial Project NetworkOptimistic, Pessimistic and mean times for each activity and dependenciesSimulator uses above and a Beta Distribution to generate activity times during each run.

Project Cost is a linear function of completion time, penalty costs and crashing costsHighly dynamic nature of the Collaborative Process and reduction in centralized planning Autonomy of Collaborators and its reflection in the modelSimulation comparison and conclusions for Collaborative Model

vs

Traditional Model that is in Literature

Integration of the Collaborative Model Simulation into MS Project

10/08/2004

Krishna Neelakanta Thesis Proposal

Page

9

Assumptions & ConsiderationsSlide10

A simulator is to be built and tested. Language : C++.Simulator to incorporate, initial evaluation of Project Network, dynamic re-evaluation based on the LP optimizer. Idea is to minimize the cost functionSimulator should support task addition and in mid projectAllows user input to select characteristics of desired

project NetworkKrishna Neelakanta Thesis Proposal Page

10

Project Network

SimulatorSlide11

Performed a literature Study of Simulation based Optimization in Project management and Collaboration effortsStudied related work in the area of collaborative computingStudied the Industrial Strength COMPASS (ISC), Linear Programming OptimizerInstalled a version of ISC and ran some tests on the sameBrushed up on Simulation Concepts and ideas

Installed Microsoft Project 2007.Exploring ways to integrate simulator and the optimizer system into Microsoft Project, by studying the API’s available

Krishna Neelakanta Thesis Proposal

Page

11

Current StatusSlide12

The simulation tool, and the design and implementation documentation.Integrating the Simulator to MS Project to help the Project Manager try the systemA thesis report documenting the design and implementation of Simulator System, related algorithms, the analysis of findings, and the lessons learned in the thesis, and future work to be done.

Krishna Neelakanta Thesis Proposal Page 12

Deliverables Slide13

Committee Proposal Approval – Dec 2009Develop model and design and implement simulator – Dec-Jan 2009Document findings, thesis report – Jan-Feb 201010/08/2004

Krishna Neelakanta Thesis Proposal Page 13

High Level TimelinesSlide14

Krishna Neelakanta Thesis Proposal Page 14

References [1] Haga, W. A. 1998.

Crashing PERT networks. Ph.D. Dissertation, University of Northern Colorado, Colorado.

 

[2] Haga

, W. A., and K. A. Marold. 2004. A simulation approach to the PERT CPM time-cost trade-off problem. Project Management Journal, 35(2): 31-37.

 

[3]

Haga

, W. A., and K. A.

Marold

.

2005. Monitoring and control of PERT networks. The Business Review, 3(2): 240-245.

 

[4] Hillier, F. S., and G. J. Lieberman. 2008.

Introduction to Operations Research. 9th Ed., McGraw-Hill, New York.

[5] Williams, T. (2004). Why Monte Carlo Simulations Of Project Networks Can Mislead.

Project Management Journal

, 35(3), 53-61 

[6]

Xu

, J., B. L. Nelson, and L. J. Hong.

2007. Industrial Strength COMPASS: A Comprehensive Algorithm and

Software for Optimization via Simulation.

Website <http://users.iems.northwestern.edu/~nelsonb/ISC/>.

[7] Michael E.

Kuhl

,

Radhamés

A.

Tolentino-Peña

A DYNAMIC CRASHING METHOD FOR PROJECT MANAGEMENT

USING SIMULATION-BASED OPTIMIZATION

Proceedings of the 2008 Winter Simulation Conference Pg : 2370-2376

 [8] Nelson, L.J. and B. L. Nelson.

2006. Discrete optimization via simulation using COMPASS. Operations Research,

54:115-129.