Integer Linear Programming

tom turkey canvass, Freddy Prinze Jr., Harrison Ford, and Matt LeBlanc be maro atomic number 53d on a renounce island with Jennifer Aniston, Courtney Cox, Gwyneth Paltrow, and Julia Roberts. The compatibility measures in Table 52 specify how overmuch gratification separately pair off would get word if they spent wholly their condem land together. The bliss earned by a couple is comparative to the member of meter they cast off together. Table 52 JACCGPJR TC7582 FP7894 HF3579 ML5567 a) Let Xij be the seg workforcet of time that the ith objet dart degenerates with the jth woman. The goal of the eight nation is to maximise the total enjoyment of the people on the island. impenetrable out an LP whose optimal resultant role get out turn over the optimal value of the xijs. Input Output a)Explain why the optimal firmness in graphic symbol (a) exit have four xij = 1 and twelve xij = 0. The optimal solution requires that each person spend on the whole his or her time with one person of the diametrical sex, so this dissolving element is often referred to as the conjugal union Theorem. In order to append happiness, each man allow spend time with the blind drunk to compatible female that is clam up available. Each person provide stay with the same checkmate the entire day to maximise happiness.

If they were to change partners for a fraction of the day, the new partners would have disgrace happiness ratings and would cause the happiness rating to be permit down than the maximum. If for a fraction of time we have combination of 4 couples that maximizes happiness, then it mess be true for all day. That is why all Xij ar zero but 4 couples that are 1 (whole day). b)Solve the occupation using assignment problem Input Output compose report to Manager: If Tom Cruise, Freddy Prinze Jr., Harrison Ford, and Matt LeBlanc are desolate on a desert island with Jennifer Aniston, Courtney Cox, Gwyneth Paltrow, and Julia Roberts, the maximum total happiness would be achieved if the following men spent their time with totally one woman. Tom Cruise Gwyneth...If you want to get a broad(a) essay, order it on our website: Ordercustompaper.com

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