From https://developer.appcelerator.com/question/164509/local-notification-using-intent

localNotificationAndroid.js

var activity = Ti.Android.currentActivity;
    var intent = Ti.Android.createIntent({
        action : Ti.Android.ACTION_MAIN,
        // you can use className or url to launch the app
        // className and packageName can be found by looking in the build folder
        // for example, mine looked like this
        // build/android/gen/com/appcelerator/test/Test7Activity.java
        // className : 'com.appcelerator.test.Test7Activity',
 
        // if you use url, you need to make some changes to your tiapp.xml
        url : 'app.js',
        flags : Ti.Android.FLAG_ACTIVITY_RESET_TASK_IF_NEEDED | Ti.Android.FLAG_ACTIVITY_SINGLE_TOP
    });
    intent.addCategory(Titanium.Android.CATEGORY_LAUNCHER);
 
    var pending = Ti.Android.createPendingIntent({
        activity : activity,
        intent : intent,
        type : Ti.Android.PENDING_INTENT_FOR_ACTIVITY,
        flags : Ti.Android.FLAG_ACTIVITY_NO_HISTORY
    });
 
    var notification = Ti.Android.createNotification({
        contentIntent : pending,
        contentTitle : 'Test',
        contentText : 'test',
        tickerText : 'This is a test',
        // "when" will only put the timestamp on the notification and nothing else.
        // Setting it does not show the notification in the future
        when : new Date().getTime(),
        icon : Ti.App.Android.R.drawable.appicon,
        flags : Titanium.Android.ACTION_DEFAULT | Titanium.Android.FLAG_AUTO_CANCEL | Titanium.Android.FLAG_SHOW_LIGHTS
    });
 
    Ti.Android.NotificationManager.notify(1, notification);

markup.xml

<android xmlns:android="http://schemas.android.com/apk/res/android">
   <!-- the activities tag must be added if you want to use the url property to launch your app -->
   <activities>
       <activity url="app.js">
           <intent-filter>
               <action android:name="android.intent.action.VIEW"/>
               <category android:name="android.intent.category.DEFAULT"/>
               <category android:name="android.intent.category.BROWSABLE"/>
           </intent-filter>
       </activity>
   </activities>
 
</android>