Some people agree to carpool, but they want to make sure that any carpool arrangement is fair and doesn’t overload any single person with too much driving. Some scheme is required because none of them goes to work every day, and so the subset of them in the car varies from day to day. Let […]

I am an applied math undergraduate student. On my project, I come across an integer linear programming question as follow: Given $x_0,x_1,…,x_n$: $\forall$ i $\in$ [0,n], $x_i$ = 0 or 1 min Z = $\sum_{i=0}^n x_i $ with m numbers of constraints in the format $\sum x_j \ge 1$: j $\in$ [0,n]. I know this […]

Could someone give me a hint on this question, which is a past exam question: Under what circumstances will an entering variable in the network simplex method be the same as the leaving variable? Thank you for your help.

From my understanding, dynamic networks are similar to traditional models except that they function in continuous time and have edges and nodes that evolve over time? Is this a correct understanding? Also why are they probabilistic?

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