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標題: 會MATLAB的大大幫忙解題，感恩 [列印本頁]

作者: mike1207 時間: 2010-11-2 20:47:35 標題: 會MATLAB的大大幫忙解題，感恩

OPTIMIZATION  METHODS  MID-TERM  EXAMINATION

1.將下列問題，列出其目標函數及限制條件

  a. Transportation problem ( minimize transportation cost)
m plants, n warehouse
s i  supply of  ith plant , i=1……..m

d j demand of jth warehouse, j=1….n

c ij cost of transportation i→j

x ij number of unite to send i→j

b. Manufacturing (maximize profit)
products, m raw materials

c  j.:profit of product j

b i  :available units of material i

a i j :＃units of material  i  product j needs in order to be proced

  x j :amount product j produced

c. Scheduling (Goal: hire minimum number of nurses)
Hospital wants to make weekly nightshift of its nurses

d  j : demand for nurses each day, j =1,2…,7

Every nurse works 5days in a row

X j :＃nurses starting their work on day  j

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