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International Conference on Business Process Management

BPM 2013: Business Process Management Workshops pp 330–341Cite as

A Petri Net Approach for Green Supply Chain Network Modeling and Performance Analysis

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Part of the book series: Lecture Notes in Business Information Processing ((LNBIP,volume 171))

Abstract

Green supply chain has become a promising and challenging field during the last decade driven by rising environmental conscious business and governmental legislation. In this paper, we develop a Petri-net based model to describe the green supply chain and to evaluate the essential performance. Generalized stochastic Petri nets (GSPN) are introduced to model the network of a general green supply chain with time characteristics. Performance analysis is carried out using the embedded Markov chain. Furthermore, we perform a comparison between green and normal supply chain to assert the superiority of the green supply chain in terms of profits.

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Author information

Authors and Affiliations

  1. The State Key Laboratory of Industrial Control Technology & Institute of Cyber-systems and Control, Zhejiang University, Hangzhou, China

    Mi Pan & Weimin Wu

Authors
  1. Mi Pan
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  2. Weimin Wu
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Corresponding author

Correspondence to Weimin Wu .

Editor information

Editors and Affiliations

  1. University of Rostock, Rostock, Germany

    Niels Lohmann

  2. Ulsan National Institute of Science and Technology, Ulsan, Korea, Republic of (South Korea)

    Minseok Song

  3. Stockholm University, Stockholm, Sweden

    Petia Wohed

Appendix

Appendix

A1. Set of Steady States

State

 

P0

P1

P2

P3

P4

P5

P6

P7

P8

P9

P10

P11

S0

M0

1

0

0

0

0

0

0

0

0

0

0

1

S1

M1

0

1

0

0

0

0

0

0

0

0

0

1

S2

M2

0

0

1

0

0

0

0

0

0

0

0

1

S3

M3

0

0

0

1

0

0

0

0

0

0

0

1

S4

M4

0

0

0

0

1

0

0

0

0

0

0

1

S11

M5

0

0

0

0

0

0

0

0

0

0

1

0

S10

M6

0

0

0

1

0

0

0

0

0

0

0

0

S9

M7

0

0

0

0

0

0

0

1

0

0

0

0

S8

M8

0

0

0

0

0

0

0

0

1

0

0

0

S7

M9

0

0

0

0

0

0

0

0

0

1

0

0

S14

M10

0

0

0

0

1

0

0

0

0

0

0

0

S13

M11

0

0

1

0

0

0

0

0

0

0

0

0

S12

M12

1

0

0

0

0

0

0

0

0

0

0

0

A2. Performance Measures of GSPN-GrSCN

Steady state M i

Sojourn Time \( \bar \tau \)[M i]

Place P i

Average tokens \( \bar u \) i

Transition T i

Transition utilization U(T i)

Transition T i

Transition throughput R(T i)

M0

0.16667

P 0

0.04042

T 0

0.04042

T 0

0.24252

M1

0.33333

P 1

0.1156

T 1

0.1156

T 1

0.34681

M2

0.66667

P 2

0.30719

T 2

0.30719

T 2

0.46079

M3

0.16667

P 3

0.08892

T 3

0.08893

T 3

0.53355

M4

0.5

P 4

0.26677

T 4

0.26678

T 4

0.53355

M5

0.33333

P 5

0

T 11

0.0101

T 11

0.06063

M6

0.16667

P 6

0

T 12

0.038

T 12

0.11399

M7

0.16667

P 7

0.01011

T 13

0.05214

T 13

0.10428

M8

0.33333

P 8

0.038

T 14

0.08084

T 14

0.24252

M9

0.5

P 9

0.05214

    

M10

0.5

P 10

0.08084

    

M11

0.66667

P 11

0.44462

    

M12

0.33333

      

A3. Performance Measures of GSPN-SCN without Recovery

Place P i

Average tokens \( \bar u \) i ′

Transition T i′

Transition

utilization U(T i)

Transition T i′

Transition throughput R′(T i)

P 0

0.07692

T 0

0.07692

T 0

0.46153

P 1

0.15385

T 1

0.15384

T 1

0.46153

P 2

0.30769

T 2

0.30769

T 2

0.46153

P 3

0.07692

T 3

0.07692

T 3

0.46153

P 4

0.23077

T 4

0.23077

T 4

0.46153

P 5

0

T 14

0.15384

T 14

0.46153

P 6

0

    

P 10

0.15385

    

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Pan, M., Wu, W. (2014). A Petri Net Approach for Green Supply Chain Network Modeling and Performance Analysis. In: Lohmann, N., Song, M., Wohed, P. (eds) Business Process Management Workshops. BPM 2013. Lecture Notes in Business Information Processing, vol 171. Springer, Cham. https://doi.org/10.1007/978-3-319-06257-0_26

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  • DOI: https://doi.org/10.1007/978-3-319-06257-0_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06256-3

  • Online ISBN: 978-3-319-06257-0

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