By Brandon Sanderson
The evil Librarians are coming!
A hero with a big talent...for breaking issues. A life-or-death mission...to rescue a bag of sand. A fearsome hazard from a strong mystery network...the evil Librarians.
Alcatraz Smedry doesn't look destined for something yet catastrophe. On his thirteenth birthday he gets a bag of sand, that's fast stolen through the cult of evil Librarians plotting to take over the realm. The sand will provide the Librarians the sting they should in achieving global domination. Alcatraz needs to cease them!...by infiltrating the neighborhood library, armed with not anything yet eyeglasses and a expertise for klutziness.
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Extra info for Alcatraz Versus the Evil Librarians (Alcatraz, Book 1)
The solution time for each of these 25 runs was under 5 s and only two instances required branch-and-bound to obtain provably optimal solutions. In each of these two instances, only three nodes in the branch-and-bound tree needed to be explored after the root node forcing rules were employed. 2 plots the results for five, 10, 15, 20 and 25 medians. The model locates the first five cities near the major cities of New York, Los Angeles, Dallas, Chicago and Miami. Additional facilities are then added to better serve the rest of the counties.
End For 8. End For Step 1 initializes the solution with any set of p facilities. In Step 2 we loop over the sites in the current solution. In Step 3 we loop over candidate sites that are not in the solution. In Step 4, we ask if removing one site from the current solution and replacing it with a site not in the current solution will improve the objective function. If so, we make that substitution and the algorithm stops. There are numerous ways of implementing an exchange algorithm. The algorithm might implement the first exchange that improves the solution, as shown in the pseudocode above.
Tamir (1996) improved the computation time and presented an O(pn2 ) algorithm for the problem of locating p facilities on a tree. 4 Model Formulation In this section, we formulate the p-median problem. In addition to the notation defined above, we define the following additional input: p the number of facilities to locate. Finally, we define the following decision variables: yi D xij 1 if a facility is located at candidate site i 0 otherwise the fraction of the demand of customer j that is supplied from facility i.
Alcatraz Versus the Evil Librarians (Alcatraz, Book 1) by Brandon Sanderson