Purpose

The purpose of this study is to understand the functional power of frequency from-to chart (FFTC) as an independent solution-key for generation optimal (exact) facilities sequences with an equal distance of straight-line flow patterns. The paper will propose a bi-objective function model based on the Torque Method then will turn it into a computer-based technique with a permutative manner using the full enumeration method. This model aims to figure out if there is a difference between the moment minimization and backtracking treatment. Furthermore, the proposed technique will measure the performance of related works from literature to numerically highlight their limitations.

Design/methodology/approach

The literature of related works provided two-principles assumed mastering material flow sequences. The researchers gathered and analyzed the three methods – used FFTC as an independent technique – mentioned in the literature then measured their performance with the proposed technique. The proposed technique is based on the computation of torque value using an enhancement of bi-objective function model then application a permutative approach with full enumeration methodology. The bi-objective function model used once to mimic the grand moment value of FFTC and again to study the reflection of minimizing the congestion of backtracking movements on the minimization of total transportation cost.

Findings

Based on the analysis of literature and comparative results of its three case studies using the proposed technique, it is found that: there are optimum facilities sequences with rich opportunities of exact pathway selection. Reduction methodology is an inefficient way to generate exact results. There is a gap between combining the minimization of the grand moment and the treatment of the backtracking problem.

Research limitations/implications

This study is one of the first contributions that discusses the assumption of integration between optimization moment value and its relation to treatment backtracking problem. Also, the illness of reduction methodology to reach optimal solutions. The further direction of this research will highlight the conjecture of searching the exact results for small size problems, analyzing the given data and its logical dimensions, developing logical rules for solving and verifying large size problems based on the exact results (The conjecture of P = NP).

Originality/value

This paper provides a detailed numerical analysis of the most common problems generally faced facility layout problems through understanding the lack of integration between moment minimization and backtracking minimization. Also, the inefficiency of reliance on reduction methodology either in scores of frequencies between facilities with weak relation or the number of permutations. Based on those findings, further study will search the logical philosophy exactly optimizing FFTC manually or without having to deal with a permutative approach for large size problems – which considered non-deterministic polynomial-time problem.

中文翻译：

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增强双目标函数模型以使用频率从到图掌握直线设施序列

目的

本研究的目的是了解频率生成图 (FFTC) 作为独立解决方案的关键，用于生成具有等距直线流型的最佳（精确）设施序列。本文将提出一个基于扭矩法的双目标函数模型，然后将其转化为一种基于计算机的技术，使用全枚举方法以置换方式进行。该模型旨在弄清楚矩最小化和回溯处理之间是否存在差异。此外，所提出的技术将衡量文献中相关作品的表现，以数字方式突出其局限性。

设计/方法/方法

相关作品的文献提供了假设掌握材料流序列的两个原则。研究人员收集并分析了文献中提到的三种方法——使用 FFTC 作为一种独立的技术——然后使用所提出的技术测量它们的性能。所提出的技术基于使用双目标函数模型的增强计算扭矩值，然后应用具有完整枚举方法的置换方法。双目标函数模型曾经模拟过FFTC的大矩值，并再次研究了最小化回溯运动的拥塞对总运输成本最小化的反映。

发现

基于文献分析和使用该技术的三个案例研究的比较结果，发现：存在最佳设施序列，具有丰富的精确路径选择机会。归约方法是产生精确结果的低效方法。将盛大时刻的最小化与回溯问题的处理结合起来是有差距的。

研究限制/影响

这项研究是讨论优化矩值之间的整合假设及其与处理回溯问题的关系的首批贡献之一。此外，减少疾病的方法来达到最佳解决方案。本研究的进一步方向将突出搜索小规模问题精确结果的猜想，分析给定数据及其逻辑维度，根据精确结果开发解决和验证大规模问题的逻辑规则（P = NP）。

原创性/价值

本文通过了解矩最小化和回溯最小化之间缺乏整合，对设施布局问题中普遍面临的最常见问题进行了详细的数值分析。此外，依赖减少方法的效率低下，要么是关系较弱的设施之间的频率得分，要么是排列的数量。基于这些发现，进一步的研究将搜索逻辑哲学，以手动或无需处理大型问题的置换方法（考虑非确定性多项式时间问题）来精确优化 FFTC。