Example |
Description |

SCN 1 |
It has the identical data to that in Example 1 - Baseline in [c@126302] with the exception that the link labor bounds \(\bar l_a=10,000\) for all links \(a\in L\). |

SCN 2 |
It has the same data as SCN 1, except that now there is a single bound on labor \(\bar l=70,000\). In other words, labor is free to work on any link, provided that the sum of the labor hours does not exceed \(70,000\). Note that \(70,000\) is the sum of the labor bounds on all the links in SCN 1. |

SCN 3 |
It has the identical data to that of SCN 1 except that now electronic commerce links \(h\) and \(i\) are added. The additional data for SCN 3 associated with the electronic commerce links are \[\hat c_h(f)=f_h^2,\quad \hat c_i(f)=f_i^2,\] \[\pi_h=10.00,\quad \pi_i=10.00,\quad \alpha_h=1.00,\quad\alpha_i=1.00,\] \[\bar l_h=10,000.00,\quad \bar l_i=10,000.00.\] |

SCN 4 |
It has the same topology and data as SCN 3 except that the labor availability constraint is for the entire supply chain with \(\bar l=90,000\). The value of \(90,000\) is chosen since there are 9 links in SCN 3, with each link having a bound of \(10,000\) and, hence, there would be a total labor availability of \(90,000\) under the assumption that laborers would be free and interested in doing whichever tasks that are needed in the supply chain network with the productivity factors being as in SCN 3. |

SCN 5 |
It has the same data as SCN 4, but now the labor hours available are no longer 90,000, rather there are only 70,000 hours available. Hence, the results for SCN 5 allow us to make a comparison with SCN 2 in terms of the impact of adding electronic commerce and having the same total amount of labor in the supply chain network available as before but having additional supply chain activities of electronic commerce. |