A Note on Simulating Predecessor-Successor Relationships in Critical Path Models

A Note on Simulating Predecessor-Successor Relationships in Critical Path Models

Gregory L Light

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Gregory L. Light

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A Note on Simulating Predecessor-Successor Relationships in Critical Path Models

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Abstract

For any n entities, we exhaust all possible ordered relationships, from rank (or the highest number of connections in a linear chain, comparable to matrix rank) 0 to (n -1). As an example, we use spreadsheets with the “RAND” function to simulate the case of n = 8 with the order-length = 3, as from a total of 10000 possibilities by the number of combinations of selecting 2 (a pair of predecessor-successor) out of 5 (= card{A, B, C, D} + 1) matchingdestinations followed by an exponentiation of 4 (= 8 -card{A, B, C, D}). Since the essence of this paper is about ordered structures of networks, our findings here may serve multi-disciplinary interests, in particular, that of the critical path method (CPM) in operations with management. In this connection, we have also included, toward the end of this exposition, a linear algebraic treatment that renders a deterministic mathematical programming for optimal predecessorsuccessor network structures.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Gregory L Light. 2021. \u201cA Note on Simulating Predecessor-Successor Relationships in Critical Path Models\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F2).

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GJSFR Volume 21 Issue F2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification MSC 2010: 91G50

Submission ReceivedJanuary 5, 2021
Peer Review Double Blind
Handling Editor
Accepted January 29, 2021
Published February 11, 2021

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April 16, 2021

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