Transcript
Page 1: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

The Cutting Edge:Modeling Mowing

Jason NovingerMentor: Dr. Jon Beck

June 13, 2006

Page 2: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Acknowledgement

Also the LATEXsystem for providing such a simpleand powerful way to typeset my proposal and this

presentation.

Page 3: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Outline of Presentation

• Why should we study mowing patterns?

• What in the world are we researching?

• Who else is researching this?

• How will we conduct the research?

• When and where will we report our results?

Page 4: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Outline of Presentation

• Why should we study mowing patterns?

• What in the world are we researching?

• Who else is researching this?

• How will we conduct the research?

• When and where will we report our results?

Page 5: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Outline of Presentation

• Why should we study mowing patterns?

• What in the world are we researching?

• Who else is researching this?

• How will we conduct the research?

• When and where will we report our results?

Page 6: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Outline of Presentation

• Why should we study mowing patterns?

• What in the world are we researching?

• Who else is researching this?

• How will we conduct the research?

• When and where will we report our results?

Page 7: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Outline of Presentation

• Why should we study mowing patterns?

• What in the world are we researching?

• Who else is researching this?

• How will we conduct the research?

• When and where will we report our results?

Page 8: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Outline of Presentation

• Why should we study mowing patterns?

• What in the world are we researching?

• Who else is researching this?

• How will we conduct the research?

• When and where will we report our results?

Page 9: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Why should we study mowing?Mowing is important because:

• Mowing is a common activity on farms andlarge parcels of land

• Mowing has costs that need to be minimized(time, labor, equipment, etc.)

• Mowing represents other activities on farms like

• Planting• Fertilizing• Harvesting

Page 10: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Why should we study mowing?Mowing is important because:

• Mowing is a common activity on farms andlarge parcels of land

• Mowing has costs that need to be minimized(time, labor, equipment, etc.)

• Mowing represents other activities on farms like

• Planting• Fertilizing• Harvesting

Page 11: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Why should we study mowing?Mowing is important because:

• Mowing is a common activity on farms andlarge parcels of land

• Mowing has costs that need to be minimized(time, labor, equipment, etc.)

• Mowing represents other activities on farms like

• Planting• Fertilizing• Harvesting

Page 12: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Why should we study mowing?Mowing is important because:

• Mowing is a common activity on farms andlarge parcels of land

• Mowing has costs that need to be minimized(time, labor, equipment, etc.)

• Mowing represents other activities on farms like

• Planting• Fertilizing• Harvesting

Page 13: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Why should we study mowing?Mowing is important because:

• Mowing is a common activity on farms andlarge parcels of land

• Mowing has costs that need to be minimized(time, labor, equipment, etc.)

• Mowing represents other activities on farms like

• Planting• Fertilizing• Harvesting

Page 14: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Why else should we study mowing?Mowing represents a common problem—an areaneeds to be covered or swept while optimizing somevariable. Other applications are:

• Computer-assisted search and rescue operations

• CNC machines used to fabricate custom parts

• Coating a product with paint

Page 15: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

What mowing pattern are we analyzing?

• Comparing square or rectilinear mowingpatterns with spiral patterns

• Looking at an inside-out spiral. Start at centerand work our way out

• Which method is optimal in terms of money ortime?

Page 16: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

What mowing pattern are we analyzing?• Comparing square or rectilinear mowing

patterns with spiral patterns

• Looking at an inside-out spiral. Start at centerand work our way out

• Which method is optimal in terms of money ortime?

Page 17: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

What mowing pattern are we analyzing?• Comparing square or rectilinear mowing

patterns with spiral patterns• Looking at an inside-out spiral. Start at center

and work our way out

• Which method is optimal in terms of money ortime?

Page 18: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

What mowing pattern are we analyzing?• Comparing square or rectilinear mowing

patterns with spiral patterns• Looking at an inside-out spiral. Start at center

and work our way out

• Which method is optimal in terms of money ortime?

Page 19: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research

• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 20: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 21: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 22: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals

• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 23: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class

• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 24: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 25: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency

• 1987 - Pandey and Devani detail efficiencies oftwo- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 26: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency• 1987 - Pandey and Devani detail efficiencies of

two- and four-sided mowing patterns.

• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 27: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency• 1987 - Pandey and Devani detail efficiencies of

two- and four-sided mowing patterns.• Found that use of both methods was most efficient

• Introduced idea that turns were wasted time

Page 28: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Previous work at Truman State University

• 2005 - Gordon laid foundations for this summer’swork

• Identified basic questions and goals• Dr. Beck’s Spring 2006 CS 370 class• Provided code to model mowing process

• Classic observations study of mowing efficiency• 1987 - Pandey and Devani detail efficiencies of

two- and four-sided mowing patterns.• Found that use of both methods was most efficient• Introduced idea that turns were wasted time

Page 29: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research

• Newer theoretical and simulation studies

• 2000 - Huang suggests breaking fields into tosmaller units to minimize number of turns

• 2000 - Arkin, et al. model field sweepingmathematically and provide approximationalgorithms

• Study of wider applications, particularly impacton wildlife

• 1998 - Tyler, et al. find link between mowingpatterns and wildlife survival rate of Crex crexchicks

Page 30: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Newer theoretical and simulation studies

• 2000 - Huang suggests breaking fields into tosmaller units to minimize number of turns

• 2000 - Arkin, et al. model field sweepingmathematically and provide approximationalgorithms

• Study of wider applications, particularly impacton wildlife

• 1998 - Tyler, et al. find link between mowingpatterns and wildlife survival rate of Crex crexchicks

Page 31: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Newer theoretical and simulation studies

• 2000 - Huang suggests breaking fields into tosmaller units to minimize number of turns

• 2000 - Arkin, et al. model field sweepingmathematically and provide approximationalgorithms

• Study of wider applications, particularly impacton wildlife

• 1998 - Tyler, et al. find link between mowingpatterns and wildlife survival rate of Crex crexchicks

Page 32: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Newer theoretical and simulation studies

• 2000 - Huang suggests breaking fields into tosmaller units to minimize number of turns

• 2000 - Arkin, et al. model field sweepingmathematically and provide approximationalgorithms

• Study of wider applications, particularly impacton wildlife

• 1998 - Tyler, et al. find link between mowingpatterns and wildlife survival rate of Crex crexchicks

Page 33: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Newer theoretical and simulation studies

• 2000 - Huang suggests breaking fields into tosmaller units to minimize number of turns

• 2000 - Arkin, et al. model field sweepingmathematically and provide approximationalgorithms

• Study of wider applications, particularly impacton wildlife

• 1998 - Tyler, et al. find link between mowingpatterns and wildlife survival rate of Crex crexchicks

Page 34: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

Previous Research• Newer theoretical and simulation studies

• 2000 - Huang suggests breaking fields into tosmaller units to minimize number of turns

• 2000 - Arkin, et al. model field sweepingmathematically and provide approximationalgorithms

• Study of wider applications, particularly impacton wildlife

• 1998 - Tyler, et al. find link between mowingpatterns and wildlife survival rate of Crex crexchicks

Page 35: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 36: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 37: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width

• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 38: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 39: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 40: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment

• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 41: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work

• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 42: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 43: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 44: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed

• Optimized path given field shape

Page 45: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

How will we conduct the research?Three step process

• Make physical observations about mowingequipment and patterns

• Equipment speed, turning radius, mowing width• Time needed to make turns, adjustments

• Mathematically model the process of mowing afield. Find equations to:

• Plot the path of the mowing equipment• Compute time needed to complete work• Determine area covered

• Build a graphical computer simulation of themowing process. To include:

• A representation of field being mowed• Optimized path given field shape

Page 46: Cutting Edge Proposal

Introduction Existing Research Methodologies Dissemination

When and where will we share our results?Our results will be presented at:

• The 2006 STEP Summer UndergraduateResearch Symposium, August 2-3, 2006

• The 20th Annual Truman State UniversityStudent Research Conference, April 2007

• This research may also be presented atadditional research conferences and submittedfor publication as opportunities allow

• This research will also provide a foundation foradditional research into efficient fieldoperations at Truman State University


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