The great supper (peculiar to Lk, although Matthew 22:1-14 presents many points of similarity: see on that passage). Here the 'certain man' is God, the many bidden are the rulers of the Jews, the servant who invites them is Jesus Christ. When the rulers refuse the invitation to the feast (i.e. to enter into Christ's Kingdom), the poor, the maimed, the blind, and the lame (i.e. the despised classes of the Jewish nation) are invited. They joyfully obey, and yet there is room, because the kingdom of Christ is meant to embrace all mankind (Luke 14:22). Then Christ, through His Apostles, goes out into the highways and hedges (i.e. into heathen lands), and compels the Gentiles to come in.
Luke 14:15-24
15 And when one of them that sat at meat with him heard these things, he said unto him, Blessed is he that shall eat bread in the kingdom of God.
16 Then said he unto him,A certain man made a great supper, and bade many:
17 And sent his servant at supper time to say to them that were bidden, Come; for all things are now ready.
18 And they all with one consent began to make excuse. The first said unto him, I have bought a piece of ground, and I must needs go and see it: I pray thee have me excused.
19 And another said, I have bought five yoke of oxen, and I go to prove them: I pray thee have me excused.
20 And another said, I have married a wife, and therefore I cannot come.
21 So that servant came, and shewed his lord these things. Then the master of the house being angry said to his servant, Go out quickly into the streets and lanes of the city, and bring in hither the poor, and the maimed, and the halt, and the blind.
22 And the servant said, Lord, it is done as thou hast commanded, and yet there is room.
23 And the lord said unto the servant, Go out into the highways and hedges, and compel them to come in, that my house may be filled.
24 For I say unto you, That none of those men which were bidden shall taste of my supper.