Homework 1

Production and operation management

Due date August lﬁdltﬁﬂpm l. A problem faced by an eleeh-ical utility company each day is that of deciding

which generators to start up. The utility in question has ﬁve generators with

the characteristics shown in the following table. If any Megawatt—hours

{MW-hr} are produosd by a generator, the generator must be started up and the fitted startup oost is incurred. At least Tﬂﬂﬂ MW-hrs must be generated

today. — 53:5“ A E C D E

Fined Sauna: Cost 134m 1523!] SETS-[t Elllﬂ'l] “200

Costprt WI! Gruetalzd H 55 “ST ST 15

Mﬂim‘wn Ca i {if-II: 32W III) BEEN] WW 3211i m Formulate a Binary-Integer Problem that minimizes the total cost. Write the

complete algebraic form. and clearly state the decision variables. objective function.

and the constraints. {JD points} Him: Some binary variables and big member constraints are needed in this problem Part B: Draw your solution graphically. {ID Points}