Per these guidelines, indications for induction may include:

Abruptio placentae
Chorioamnionitis
Fetal compromise such as isoimmunisation leading to haemolytic disease of the newborn or oligohydramnios
Fetal demise
Gestational hypertension
Maternal conditions such as gestational diabetes or chronic kidney disease
Preeclampsia or eclampsia
Premature rupture of membranes
Post-term pregnancyInduction is also considered for logistical reasons, such as the distance from hospital or psychosocial conditions, but in these instances gestational age confirmation must be done, and the maturity of the fetal lung must be confirmed by testing. The ACOG also note that contraindications for induced labour are the same as for spontaneous vaginal delivery, including vasa previa, complete placenta praevia, umbilical cord prolapse or active genital herpes simplex infection.A Caesarean section, also called a C section, can be the safest option for delivery in some pregnancies. During a C section, the patient is usually numbed  with an epidural or a spinal block, but general anesthesia can be used as well. A cut is made in the patient’s abdomen and then in the uterus to remove the baby. A C section may be the best option  when the small size or shape of the mothers pelvis makes delivery of the baby impossible, or the lie or presentation of the baby as it prepares to enter the birth canal is dangerous. Other medical reasons for C section are placenta previa (the placenta blocks the baby’s path to the birth canal), uterine rupture, or fetal distress, like due to endangerment of the baby’s oxygen supply.
Tocolytics delay labor by inhibiting contractions of the uterine muscles that progress labor. The most widely used tocolytics include beta agonists, calcium channel blockers, and magnesium sulfate. The goal of administering tocolytics is not to delay delivery to the point that the child can be delivered at term, but instead to postponing delivery long enough for the administration of glucocorticoids which can help the fetal lungs to mature enough to reduce morbidity and mortality from infant respiratory distress syndrome. Post-term birth
The term postterm pregnancy is used to discribe a condition in which a woman has not yet delivered her baby after 42 weeks of gestation, two weeks beyond the usual 40-week duration of pregnancy. Postmature births carry risks for both the mother and the baby, including meconium aspiration syndrome, fetal malnutrition, and stillbirths. The placenta, which supplies the baby with oxygen and nutrients, begins to age and will eventually fail after the 42nd week of gestation. Induced labor is indicated for postterm pregnancy. Neonatal infection
Newborns are prone to infection in the first month of life. The organism S. agalactiae (Group B Streptococcus) or (GBS) is most often the cause of these occasionally fatal infections. The baby contracts the infection from the mother during labour.