Tag: a commodity is produced at m fac

A commodity is produced at m factories or sources S1, ..., Sm and is sold at n markets or destinations D1, ...,Dn. The annual output or supply available at source Si is si units, the annual demand at destination Dj is dj units, and the cost of transporting one unit from Si to Dj is cij . We wish to determine which sources Si should supply which destinations Dj so as to minimise transportation costs. We assume that each si > 0, dj > 0, cij ≥ 0.

1299 days ago

A commodity is produced at m factories or sources S1, ..., Sm and is sold at n markets or destinations D1, ...,Dn. The annual output or supply available at source Si is si units, the annual demand at destination Dj is dj units, and the cost of transporting one unit from Si to Dj is cij . We wish to determine which sources Si should supply which destinations
Dj so as to minimise transportation costs. We assume that each si > 0, dj > 0, cij ≥ 0.

1303 days ago

A commodity is produced at m factories or sources S1,...,Sm and is sold at n markets or destinations D1,...,Dn. The annual output or supply available at source Si is si units, the annual demand at destination Dj is dj units, and the cost of transporting one unit from Si to Dj is cij. We wish to determine which sources Si should supply which destinations Dj so as to minimise transportation costs. We assume that each si > 0, dj > 0, cij ≥ 0. Let xij ≥ 0 be the number of units to be sent from Si to Dj per year. Then we are to minimise the transportation cost m X i=1 n X j=1 cijxij subject to the constraints that the amount taken from source Si must be at most the supply si, that is n X j=1 xij ≤ si for i = i,...,m, and the amount taken to market Dj must be at least the demand dj, that is
m X i=1
xij ≥ dj for j = 1,...,n.

1306 days ago

A commodity is produced at m factories or sources S1, ..., Sm and is sold at n markets or destinations D1, ...,Dn. The annual output or supply available at source Si is si units, the annual demand at destination Dj is dj units, and the cost of transporting one unit from Si to Dj is cij . We wish to determine which sources Si should supply which destinations Dj so as to minimise transportation costs. We assume that each si > 0, dj > 0, cij ≥ 0.

1310 days ago