Models:

* @property integer $id
* @property integer $type_id
* @property string $name
class Store extends CActiveRecord
{
//...
public function rules()
{
return array(
//your rules
array('id, type_id, name', 'safe', 'on'=>'search, searchbytype'),
);
}

public function relations()
{
return array(
'type' => array(self::BELONGS_TO, 'Type', 'type_id'),
);
}

public function search()
{
$criteria=new CDbCriteria;
$criteria->compare('t.id',$this->id);
$criteria->compare('t.name',$this->name,true);
$criteria->compare('t.type_id',$this->type_id);

return new CActiveDataProvider($this, array(
'criteria' => $criteria,
'sort' => array(
'defaultOrder' => 't.id DESC',
'attributes' => array(
'*',
),
),
'pagination' => array (
'PageSize' => 50 //edit your number items per page here
),
));
}

//Our custom search with recieve passed parametrs
public function searchbytype($id)
{
$criteria=new CDbCriteria;
//add condition here
$criteria->condition = "t.type_id = ".$id;

$criteria->compare('t.id',$this->id);
$criteria->compare('t.name',$this->name,true);
$criteria->compare('t.type_id',$this->type_id);

//do not add condition here, filter search not working correct
//$criteria->condition = "t.type_id = ".$id;

return new CActiveDataProvider($this, array(
'criteria' => $criteria,
'sort' => array(
'defaultOrder' => 't.id DESC',
'attributes' => array(
'*',
),
),
'pagination' => array (
'PageSize' => 50 //edit your number items per page here
),
));
}

//...
}

class Type extends CActiveRecord
{
//...
public function relations()
{
return array(
'store' => array(self::HAS_MANY, 'Store', 'type_id'),
);
}
//...
}


Controller:

class TypeController extends Controller
{
//...
public function actionView($id)
{
$model = $this->loadModel($id);
$stores=new Store('searchbytype');
$stores->unsetAttributes(); // clear any default values
if(isset($_GET['Store']))
$stores->attributes=$_GET['Store'];
$this->render('view',array(
'model'=>$model,
'stores'=>$stores
));
}
//...
}

View:

<h1><?php echo $model->id; ?></h1>
<?php
$id = Yii::app()->request->getQuery('id');

$this->widget('zii.widgets.grid.CGridView', array(
'id'=>'application-grid',
'dataProvider'=>$stores->searchbytype($id),
'filter'=>$stores,
'pagerCssClass' => 'pagination pull-right',

'columns'=>array(
'id',
'name',
array(
'class'=>'CButtonColumn',
),
),
));