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Multi-Criteria Decision Making
Definition: Criterion A quality or attribute of an alternative that is related to its desirability.  Criteria  – plural of  criterion
Definition: Alternative A potential course of action. This may be an item to be purchased, a group of items purchased, or a policy or management action.
Definition: Decision A commitment to  a single course of action.  Often, the commitment is an expenditure, or allocation of resources.
Single-Criterion Decision Problems Examples: Choose least-cost airline ticket All alternatives have same route, same schedule, same comfort, etc. Choose color of suit you like best All alternatives have same style, same price, same size
Multiple-Criteria Decision Problems Examples: Choose an airline ticket Alternatives have different routes, schedules, types of airplane, costs, etc. Choose a suit Alternatives have different styles, colors, and prices
Multiple-Criteria Decision Problems There is a choice – multiple alternatives are possible Alternatives differ in more than one criterion Usually, the criteria are “competing” – i.e. no single alternative is best in every criterion
Terminology MCDM (multiple-criteria decision-making) MODM (multi-objective decision-making) MODA (multi-objective decision analysis) MAVT (multi-attribute value theory) MAPT (multi-attribute preference theory) MAUT (multi-attribute utility theory) All address the problem of balancing multiple, competing criteria. In many ways, they are all similar.
Why do formal analysis? Because criteria are competing and trade-offs among the criteria are difficult.
Types of Multiple-Criteria  Decision-Making Problems  Mutually exclusive alternatives  – choose  exactly one  option Portfolio selection  – choose a set of options or projects, whose desirability must be evaluated  together This type is more common
Mutually Exclusive Alternatives: Plutonium Disposal Problem : What to do with excess-weapons plutonium Issues of concern :  Plutonium is highly radioactive and long-lived and poses health and environmental threat Terrorists could use plutonium to make weapons All alternatives are costly – some very costly Source: Butler, J.C., A.N. Chebeskov, J.S. Dyer, T. Edmunds, J. Jia, and  V.I. Oussanov, “The United States and Russia Evaluate Plutonium Disposition Options with Multiattribute Utility Theory,”  Interfaces , Volume 35, No. 1., January-February 2005, pp.  88-101.
Major Categories of Criteria
Mutually Exclusive Alternatives: Plutonium Disposal Alternatives :  Use to make fuel for electric power plants (reactors) Immobilize in glass, ceramics, metal Permanent disposal underground There are multiple alternative ways to do each of the above – 13 alternatives total.
 
Why do formal analysis? Because multiple stakeholders have different values and judgments. Formal analysis improves communication and consensus.
Contexts for Multiple-Criteria  Decision-Making Problems  Single decision-maker  – a single person has ultimate power to choose Group decision-maker  – a single, identifiable, cooperative group has the decision-making authority Multiple stakeholders  – multiple groups and individuals, who do not necessarily cooperate, are all affected by the decision, and ideally should all buy-in to final decision
Types of Multiple-Criteria  Decision-Making Problems  Mutually exclusive alternatives  – choose  exactly one  option Portfolio selection  – choose a set of selected options or projects, whose desirability must be evaluated  together Design  – choose characteristics of a design that are most desirable, constrained by feasible designs Measurement  – assessing performance with many outputs/outcomes
Source: Army Doctrine Update #1, 24 February 2007
Full Spectrum Operations Offense Defense Stability  Civil security; Civil control; Restore essential services; Support to governance; Support to economic and infrastructure development. Civil support Provide support in response to disaster; Support civil law enforcement;
Is Stability Ops a Portfolio Problem? What does it mean to provide stability? Is civil security more important than civil control?  Civil security; Civil control; Restore essential services; Support to governance; Support to economic and infrastructure development.
Why MCDM Analysis? Criteria are competing and trade-offs are difficult to evaluate any other way. To balance multiple stakeholders’ values.  To improve communication. Analysis provides justification for decisions, and improves chances of acceptance of result.
Why MCDM in Public Sector? In the private sector, the central decision-making criterion is to maximize profit. Unlike the private sector, the public sector has no single “bottom line”. Many stakeholders, and many values must be considered. Defining – and measuring – the benefit(s) of defense systems and policies is difficult!
There is no single right answer in MCDM analysis!!! Different decision-makers have different preferences – legitimately.  Subjective assessments are usually required in MCDM analysis. In general – the results (selected alternatives) may not be highly sensitive to subjective assessments.
Themes of this Course Purpose of MCDM analysis  Mechanics of MCDM analysis how to build a MCDM model,  how it works, and  how to use its results to make decisions Organizational considerations Organizational benefits and strategies in MCDM analysis
 

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MCDM Introduction 08-01

  • 2. Definition: Criterion A quality or attribute of an alternative that is related to its desirability. Criteria – plural of criterion
  • 3. Definition: Alternative A potential course of action. This may be an item to be purchased, a group of items purchased, or a policy or management action.
  • 4. Definition: Decision A commitment to a single course of action. Often, the commitment is an expenditure, or allocation of resources.
  • 5. Single-Criterion Decision Problems Examples: Choose least-cost airline ticket All alternatives have same route, same schedule, same comfort, etc. Choose color of suit you like best All alternatives have same style, same price, same size
  • 6. Multiple-Criteria Decision Problems Examples: Choose an airline ticket Alternatives have different routes, schedules, types of airplane, costs, etc. Choose a suit Alternatives have different styles, colors, and prices
  • 7. Multiple-Criteria Decision Problems There is a choice – multiple alternatives are possible Alternatives differ in more than one criterion Usually, the criteria are “competing” – i.e. no single alternative is best in every criterion
  • 8. Terminology MCDM (multiple-criteria decision-making) MODM (multi-objective decision-making) MODA (multi-objective decision analysis) MAVT (multi-attribute value theory) MAPT (multi-attribute preference theory) MAUT (multi-attribute utility theory) All address the problem of balancing multiple, competing criteria. In many ways, they are all similar.
  • 9. Why do formal analysis? Because criteria are competing and trade-offs among the criteria are difficult.
  • 10. Types of Multiple-Criteria Decision-Making Problems Mutually exclusive alternatives – choose exactly one option Portfolio selection – choose a set of options or projects, whose desirability must be evaluated together This type is more common
  • 11. Mutually Exclusive Alternatives: Plutonium Disposal Problem : What to do with excess-weapons plutonium Issues of concern : Plutonium is highly radioactive and long-lived and poses health and environmental threat Terrorists could use plutonium to make weapons All alternatives are costly – some very costly Source: Butler, J.C., A.N. Chebeskov, J.S. Dyer, T. Edmunds, J. Jia, and  V.I. Oussanov, “The United States and Russia Evaluate Plutonium Disposition Options with Multiattribute Utility Theory,” Interfaces , Volume 35, No. 1., January-February 2005, pp.  88-101.
  • 13. Mutually Exclusive Alternatives: Plutonium Disposal Alternatives : Use to make fuel for electric power plants (reactors) Immobilize in glass, ceramics, metal Permanent disposal underground There are multiple alternative ways to do each of the above – 13 alternatives total.
  • 14.  
  • 15. Why do formal analysis? Because multiple stakeholders have different values and judgments. Formal analysis improves communication and consensus.
  • 16. Contexts for Multiple-Criteria Decision-Making Problems Single decision-maker – a single person has ultimate power to choose Group decision-maker – a single, identifiable, cooperative group has the decision-making authority Multiple stakeholders – multiple groups and individuals, who do not necessarily cooperate, are all affected by the decision, and ideally should all buy-in to final decision
  • 17. Types of Multiple-Criteria Decision-Making Problems Mutually exclusive alternatives – choose exactly one option Portfolio selection – choose a set of selected options or projects, whose desirability must be evaluated together Design – choose characteristics of a design that are most desirable, constrained by feasible designs Measurement – assessing performance with many outputs/outcomes
  • 18. Source: Army Doctrine Update #1, 24 February 2007
  • 19. Full Spectrum Operations Offense Defense Stability Civil security; Civil control; Restore essential services; Support to governance; Support to economic and infrastructure development. Civil support Provide support in response to disaster; Support civil law enforcement;
  • 20. Is Stability Ops a Portfolio Problem? What does it mean to provide stability? Is civil security more important than civil control? Civil security; Civil control; Restore essential services; Support to governance; Support to economic and infrastructure development.
  • 21. Why MCDM Analysis? Criteria are competing and trade-offs are difficult to evaluate any other way. To balance multiple stakeholders’ values. To improve communication. Analysis provides justification for decisions, and improves chances of acceptance of result.
  • 22. Why MCDM in Public Sector? In the private sector, the central decision-making criterion is to maximize profit. Unlike the private sector, the public sector has no single “bottom line”. Many stakeholders, and many values must be considered. Defining – and measuring – the benefit(s) of defense systems and policies is difficult!
  • 23. There is no single right answer in MCDM analysis!!! Different decision-makers have different preferences – legitimately. Subjective assessments are usually required in MCDM analysis. In general – the results (selected alternatives) may not be highly sensitive to subjective assessments.
  • 24. Themes of this Course Purpose of MCDM analysis Mechanics of MCDM analysis how to build a MCDM model, how it works, and how to use its results to make decisions Organizational considerations Organizational benefits and strategies in MCDM analysis
  • 25.