Get display node id for a commerce product

MY_CUSTOM_MODULE.module

/**
 * Get display node id for a commerce product.
 * @param $product_id
 *  An integer value of the product id.
 * @param string $product_field_name
 *  Name of the commerce_product_reference field used to reference products from display node.
 * @return FALSE|node_id
 *  Returns FALSE if no results or display node id on success.
 */
function MY_CUSTOM_MODULE_get_display_node_by_product_id($product_id, $product_field_name = 'product_reference') {
  $query = new EntityFieldQuery;
  $result = $query->entityCondition('entity_type', 'node', '=')
    ->propertyCondition('type', 'tire')
    ->fieldCondition($product_field_name, 'product_id', $product_id, '=')
    ->range(0, 1)->execute();
 
  if (empty($result['node'])) {
    return FALSE;
  }
 
  return reset($result['node'])->nid;
}