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A VALUE-ADDED SYSTEM FOR EVALUATING CURRICULA OR COURSES OF STUDY AGAINST ACCREDITATION CRITERIA—A PETRI-NET APPROACH Johnnie B. Linn III, Division of.

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Presentation on theme: "A VALUE-ADDED SYSTEM FOR EVALUATING CURRICULA OR COURSES OF STUDY AGAINST ACCREDITATION CRITERIA—A PETRI-NET APPROACH Johnnie B. Linn III, Division of."— Presentation transcript:

1 A VALUE-ADDED SYSTEM FOR EVALUATING CURRICULA OR COURSES OF STUDY AGAINST ACCREDITATION CRITERIA—A PETRI-NET APPROACH Johnnie B. Linn III, Division of Business, Concord University PO Box 1000, Campus Box 56, Athens, WV 24712

2 Value Added

3 Value Added

4 Petri Nets and Their Firings

5 Petri Nets and Their Firings

6 Petri Nets and Their Firings

7 Petri Nets and Their Firings

8 Principles of Accounting
Intermediate Accounting I Cost Management Intermediate Accounting II Advanced Accounting Auditing I

9 Principles of Accounting
Intermediate Accounting I Cost Management Intermediate Accounting II Advanced Accounting Auditing I

10 Principles of Accounting
Intermediate Accounting I Cost Management Intermediate Accounting II Advanced Accounting Auditing I

11 Principles of Accounting
Intermediate Accounting I Cost Management Intermediate Accounting II Advanced Accounting Auditing I

12 Principles of Accounting
Intermediate Accounting I Cost Management Intermediate Accounting II Advanced Accounting Auditing I

13 Principles of Accounting
Intermediate Accounting I Cost Management Intermediate Accounting II Advanced Accounting Auditing I

14 Matrix Representation for A Set of Firings
Mt = Mo + A’Σ Ui (1)

15 An Adjacency Matrix

16 The Process An initial marking for the system is specified.
For each performance objective, a value is assigned to each blank place node in the system. The values added form a vector V of rank p. The set of firings is specified. The sum of values of the blank place nodes involved in the firings is the contribution that the firings make to the performance objective.

17 1 1 1 1 3 1 Principles of Accounting Intermediate Accounting I
Intermediate Accounting I Cost Management 1 1 Intermediate Accounting II 1 1 Advanced Accounting Auditing I 3 1

18 Matrix Analysis A = N + O (2) Mt = Mo + N’ΣUi + O’ΣUi (3)
Substituting into (1) we have Mt = Mo + N’ΣUi + O’ΣUi (3)

19 Value Added V.A. = V’O’ΣUi (4) subject to Mt = Mo + A’Σ Ui

20 Values on Transition Nodes: An Option
When values are on place nodes, they are counted even if subsequent courses are not taken. Values can be placed on transition nodes. Only one value per transition node. The values added form a vector W of rank t.

21 1 1 1 1 3 1 Principles of Accounting Intermediate Accounting I
Intermediate Accounting I Cost Management 1 1 Intermediate Accounting II 1 1 Advanced Accounting Auditing I 3 1

22 1 1 1 3 1 Principles of Accounting Intermediate Accounting I
Principles of Accounting Intermediate Accounting I 1 Cost Management 1 Intermediate Accounting II 1 Advanced Accounting 3 1 Auditing I

23 Value Added, Values on Transitions
V.A. = W’ΣUi (4’) subject to Mt = Mo + A’Σ Ui

24 PETRI LIVES!


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