Bootstrap fullscreen layout with 100% height

All you have to do is have a height of 100vh on your main container/wrapper, and then set height 100% or 50% for child elements.. depending on what you're trying to achieve. I tried to copy your mock up in a basic sense.

In case you want to center stuff within, look into flexbox. I put in an example for you.

You can view it on full screen, and resize the browser and see how it works. The layout stays the same.

.left {
  background: grey;  
}

.right {
  background: black;  
}

.main-wrapper {
  height: 100vh;  
}

.section {
  height: 100%;  
  display: flex;
  flex-direction: column;
  justify-content: center;
  align-items: center;
}

.half {
  background: #f9f9f9;
  height: 50%;  
  width: 100%;
  margin: 15px 0;
}

h4 {
  color: white;  
}

<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous">

<div class="main-wrapper">
  <div class="section left col-xs-3">
    <div class="half"><h4>Top left</h4></div>
    <div class="half"><h4>Bottom left</h4></div>
  </div>
  <div class="section right col-xs-9">
    <h4>Extra step: center stuff here</h4>
  </div>
</div>

Here's an answer using the latest Bootstrap 4.0.0. This layout is easier using the flexbox and sizing utility classes that are all provided in Bootstrap 4. This layout is possible with very little extra CSS.

#mmenu_screen > .row {
    min-height: 100vh;
}

.flex-fill {
    flex:1 1 auto;
}

<div id="mmenu_screen" class="container-fluid main_container d-flex">
    <div class="row flex-fill">
        <div class="col-sm-6 h-100">
            <div class="row h-50">
                <div class="col-sm-12" id="mmenu_screen--book">
                    <!-- Button for booking -->
                    Booking
                </div>
            </div>
            <div class="row h-50">
                <div class="col-sm-12" id="mmenu_screen--information">
                    <!-- Button for information -->
                    Info
                </div>
            </div>
        </div>
        <div class="col-sm-6 mmenu_screen--direktaction flex-fill">
            <!-- Button for direktaction -->
            Action
        </div>
    </div>
</div>

Demo

The flex-fill and vh-100 classes are included in Bootstrap 4.1 (and later)