johnnie b. linn iii , division of business, concord university
DESCRIPTION
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. Value Added. Value Added. Petri Nets and Their Firings. - PowerPoint PPT PresentationTRANSCRIPT
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 UniversityPO Box 1000, Campus Box 56, Athens, WV 24712
Value Added
Value Added
Petri Nets and Their Firings
Petri Nets and Their Firings
Petri Nets and Their Firings
Petri Nets and Their Firings
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
Matrix Representation for A Set of Firings
Mt = Mo + A’Σ Ui
(1)
An Adjacency Matrix
PRIN ACCT -1 1 1 0 0 0 0 0 0 0 INT ACCT I 0 -1 0 1 0 0 0 1 0 0 COST MGT 0 0 -1 0 1 0 0 0 0 0 INT ACCT II 0 0 0 -1 0 1 1 0 0 0 ADV ACCT 0 0 0 0 0 -1 0 0 1 0 AUDITING I 0 0 0 0 0 0 -1 -1 0 1
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.
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
00
1 1
1 0
1
1
3
Matrix Analysis
A = N + O (2)
Substituting into (1) we have
Mt = Mo + N’ΣUi + O’ΣUi (3)
Value Added
V.A. = V’O’ΣUi (4)
subject to
Mt = Mo + A’Σ Ui
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.
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
00
1 1
1 0
1
1
3
Principles of Accounting
Cost Management
Intermediate Accounting I
Advanced Accounting
Intermediate Accounting II
Auditing I
0
1 1
1
13
Value Added, Values on Transitions
V.A. = W’ΣUi (4’)
subject to
Mt = Mo + A’Σ Ui
PETRI LIVES!