LA LA - Melissa Montz, 27, LSU student, Baton Rouge, 24 Nov 1985

Baton Rouge homicide detectives take new look at 1985 murder of LSU graduate student
by maya lau The Advocate
Sept. 6, 2015; 4:24 p.m.

Melissa Montz ran the same 5-mile path each morning past the LSU golf course, a routine that didn’t break until one October day almost three decades ago.

[...]

She was missing for 51 days before police found Montz’s decomposed body on Nov. 24, 1985, in a ditch between the 18th fairway of the LSU golf course and the railroad track along Nicholson Drive, near the Gourrier Avenue intersection. Montz was tied to a log and had been raped, police said. No one was arrested in her murder.

Thirty years later, Baton Rouge Police detectives are reopening Montz’s case, hoping that advances in genetic testing could mean new DNA matches on items found at the scene.

“We knew that there are people that know stuff about this case,” said Detective Logan Collins, who is in charge of the cold-case investigation. “There were people who called in information that you would’ve only known if someone that did the crime had told you. There’s no other way.”

[...]

Montz was found with ropes around her arms, neck and legs, Collins said. He believes she was strangled to death, but so much of her body had disintegrated it was nearly impossible to definitely determine a cause of death, he said. An intense rain came not long after she was left in the ditch filled with trash and debris, he said.

Montz’s shorts were gone, but her shirt and shoes were found, along with a whistle, Collins said. She was also missing a ring and a watch, but detectives don’t know if the items were stolen or washed away, he said.
The abduction between 6 a.m. and 7 a.m. that fall day meant it was still dark when Montz was running, Collins said.

Because she kept such a reliable schedule, someone could have been tracking Montz, but the attack could easily have been random.

It “appears to be more of a crime of opportunity than anything,” Collins said.

much more at the link

Remains Identified as Missing Woman's
The Milwaukee Sentinel
November 26, 1985

Skeletal remains found on a golf course were identified Monday as those of Melissa Montz, the former Wisconsin woman who disappeared while jogging on October 4, police said Monday.

"She was definitely murdered," Officer Jeff Wesley said. He would not release the cause of death.

"At this point, we and the person who committed the crime are the only ones who know how the murder happened. We prefer to keep it that way for the time being," Wesley said.

A student at Louisiana State University found the skeleton Sunday on the LSU golf course in a wet depression under fallen tree branches. The skeleton was about 30 yards away from the jogging trail near the Mississippi River where Montz was last seen.

Her tennis shoes and articles of clothing were found near the remains.

I would think that someone who tied someone up and raped then murdered them then this would not be the only crime that this person committed, someone doesn't start out with this as their first crime and unless stopped I doubt it would be their last.
Trying someone up like that is pretty unusual, and the police implied there was other unusual aspects to the crime. Maybe this could be used to link offences and bring the closer to finding the killer.
On a general note, this case is an important reminder of safety, I also jog a route that I always keep the same early in the morning. That probably isn't a good idea.

This particular time she jogged at this time of year: it was dark. Also, it was a bad route for a woman alone as there was too many places someone could hide and jump out. This information comes from one of her friends at the time who posted on a comment somewhere that I read last night (maybe it is in the comments of this linked article?) The friend said she even cautioned Melissa to not jog that route.