我试图找到最好的方法来计算装运所需的箱子大小。
我有3个不同大小的集装箱。我在数据库中定义了产品的宽度、长度、深度和质量。
我想知道如何找到最小数量的箱子需要船舶，也是最小的尺寸，这些箱子的数量在购物车的项目。
我目前的“想法”是找到整个产品数组的最大宽度，根据它选择一个框，然后根据需要拆分订单...这似乎行不通。
我的 Package 箱尺寸为：- 8 x 6 x 6 = 228立方英寸- 10 x 8 x 8 = 640立方英寸- 12.5 x 12.5 x 12.5 = 1953.125立方英寸
产品定义如下：

[Product] => Array
                (
                    [STOCK_CODE] => 010003
                    [Product_Slug] => GABA_010003
                    [ItemName] => GABA
                    [WHOLESALE_PRICE] => 17.47
                    [RETAIL_PRICE] => 24.95
                    [Brand] => 
                    [ProductLine] => 
                    [image_name] => 705077000440
                    [MASS] => 0.313
                    [Height] => 4.625
                    [Width] => 2.375
                    [Depth] => 2.375
                    [cubic_inches] => 26.087890625
                )

我已经调查了背包问题， Package 问题等，但不能找到一种方法来做到这一点。任何帮助将是巨大的。

function shipping(){

        $this->CartProduct->unbindModel(
            array('belongsTo' => array('User'))
        );

        //find all cart products by current logged in user
        $cartItems = $this->CartProduct->find('all', array('conditions' => array('CartProduct.user_id' => $this->Auth->user('id'))));

        $i = 0;

        //get the max width, height, depth
        $maxHeight = 0;
        $maxWidth = 0;
        $maxDepth = 0;
        foreach($cartItems as $c){
            $cartItems[$i]['Product']['cubic_inches'] = $c['Product']['Height'] * $c['Product']['Width'] * $c['Product']['Depth'];
            $cartItems[$i]['CartProduct']['total_cubic_inches'] = ($c['Product']['Height'] * $c['Product']['Width'] * $c['Product']['Depth']) * $c['CartProduct']['qty'];

            if($c['Product']['Height'] > $maxHeight)
            {
                $maxHeight = $c['Product']['Height'];
            }

            if($c['Product']['Width'] > $maxWidth)
            {
                $maxWidth = $c['Product']['Width'];
            }
            if($c['Product']['Depth'] > $maxDepth)
            {
                $maxDepth = $c['Product']['Depth'];
            }
            $i++;
        }

        //possible containers 
        //8 x 6 x 6 = 228 ci
        //10 x 8 x 8 = 640 ci
        //12.5 x 12.5 x 12.5 = 1953.125

        $possibleContainers = array(
            1 => array(
                'Height' => 8,
                'Width' => 6,
                'Depth' => 6,
                'Cubic' => 228),
            2 => array(
                'Height' => 10,
                'Width' => 8,
                'Depth' => 8,
                'Cubic' => 640),
            3 => array(
                'Height' => 12.5,
                'Width' => 12.5,
                'Depth' => 12.5,
                'Cubic' => 1953.125)
        );


        $max = array(
            'Height' => $maxHeight, 
            'Width' => $maxWidth, 
            'Depth' => $maxDepth, 
        );

        pr($cartItems);
        pr($possibleContainers);
        die();  
    }