JPH08255148A - Intention decision support system for disposal process quantity assignment - Google Patents
Intention decision support system for disposal process quantity assignmentInfo
- Publication number
- JPH08255148A JPH08255148A JP8468395A JP8468395A JPH08255148A JP H08255148 A JPH08255148 A JP H08255148A JP 8468395 A JP8468395 A JP 8468395A JP 8468395 A JP8468395 A JP 8468395A JP H08255148 A JPH08255148 A JP H08255148A
- Authority
- JP
- Japan
- Prior art keywords
- disposal
- environmental load
- waste
- processing
- support system
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 96
- 230000007613 environmental effect Effects 0.000 claims abstract description 83
- 238000005457 optimization Methods 0.000 claims abstract description 10
- 238000003672 processing method Methods 0.000 claims abstract description 6
- 239000002699 waste material Substances 0.000 claims description 61
- 238000012545 processing Methods 0.000 claims description 51
- 238000011282 treatment Methods 0.000 claims description 30
- 230000014509 gene expression Effects 0.000 abstract description 13
- 238000004364 calculation method Methods 0.000 abstract description 11
- 238000004064 recycling Methods 0.000 description 7
- CURLTUGMZLYLDI-UHFFFAOYSA-N Carbon dioxide Chemical compound O=C=O CURLTUGMZLYLDI-UHFFFAOYSA-N 0.000 description 4
- 238000004445 quantitative analysis Methods 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 238000011156 evaluation Methods 0.000 description 3
- 239000011159 matrix material Substances 0.000 description 3
- 229910002092 carbon dioxide Inorganic materials 0.000 description 2
- 239000001569 carbon dioxide Substances 0.000 description 2
- 238000007796 conventional method Methods 0.000 description 2
- 230000001419 dependent effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 239000000809 air pollutant Substances 0.000 description 1
- 231100001243 air pollutant Toxicity 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 238000010137 moulding (plastic) Methods 0.000 description 1
- 239000002994 raw material Substances 0.000 description 1
- 238000004088 simulation Methods 0.000 description 1
- 230000017105 transposition Effects 0.000 description 1
- 238000004148 unit process Methods 0.000 description 1
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- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
Description
【０００１】[0001]
【産業上の利用分野】本発明は廃棄物を活用する数量に
関する意思決定を支援する手法に係わり、さらに詳しく
は環境負荷と経済性の両方を考慮した意思決定を支援す
る手法に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for supporting decision making regarding the quantity of waste used, and more particularly to a method for supporting decision making in consideration of both environmental load and economic efficiency.
【０００２】[0002]
【従来の技術】プラスチックの成形工場、或いは、玩具
類、台所用品、オ−ディオ・カセット・テ−プ等の生産
工場においては、製品製造工程で多量の廃棄物が生じる
場合がある。廃棄物の内、一部分は再利用可能なものと
して再利用し、一部分は焼却し、また一部分は廃棄業者
に直接引き取ってもらう等の廃棄処理が割り当てられ
る。尚、本特許では廃棄処理という語句を、発生した廃
棄物に施す処理として広く捉え、例えばリサイクル処理
や焼却処理も、廃棄処理の一つと見なす。2. Description of the Related Art In a plastic molding factory or a manufacturing factory for toys, kitchen appliances, audio cassette tapes, etc., a large amount of waste may be generated in the product manufacturing process. Some of the waste is reused as reusable, some is incinerated, and some is disposed of directly by a waste disposal company. In this patent, the term “disposal treatment” is broadly regarded as a treatment applied to the generated waste, and, for example, recycling treatment or incineration treatment is also regarded as one of the disposal treatments.
【０００３】このような廃棄処理において重要なのは、
経済性の面から言えば、廃棄処理に要する費用を少なく
することである。一方、地球環境に対する配慮として、
廃棄処理の環境負荷をできる限り少なくすることも望ま
れる。尚、本特許でいう環境負荷とは、地球環境に与え
る負荷を指し、環境負荷の指標として例えば二酸化炭素
の排出量あるいは大気汚染物質の発生量等を挙げること
ができる。What is important in such waste disposal is
From the economical point of view, it means to reduce the cost required for disposal. On the other hand, as consideration for the global environment,
It is also desirable to reduce the environmental load of waste treatment as much as possible. The term “environmental load” as used in the present patent refers to a load given to the global environment, and examples of the index of environmental load include carbon dioxide emission amount and air pollutant generation amount.
【０００４】処理に要する経済性を指標として、最適化
配分等の意思決定を行う従来技術としては、オペレ−シ
ョンズ・リサ−チの技術を挙げることができる。オペレ
−ションズ・リサ−チの一つである線形計画法は、非常
に多岐な分野に応用可能な技術であり、線形計画法の最
適化手法の一つとしてシンプレックス法が知られてい
る。[0004] As a conventional technique for making a decision such as optimized allocation using the economic efficiency required for processing as an index, there is an operation research technique. The linear programming method, which is one of the operations research, is a technology that can be applied to a wide variety of fields, and the simplex method is known as one of the optimization methods of the linear programming method.
【０００５】環境負荷を特に考慮せずに広く意思決定を
支援する技術に関する特許としては、特開平4-44128に
示すように、既決処理を構成する個々の処理の評価関数
の総和である既決処理の評価関数の特性を分析し、特性
を調整するための目標を設定し、この目標を満足するよ
うに既決処理を変化させる追加処理を決定可能すること
を特徴とする意思決定支援方法及び装置が開示されてい
る。As a patent for a technique for widely supporting decision making without particularly considering the environmental load, as shown in Japanese Patent Laid-Open No. 4-44128, a decision process which is a sum of evaluation functions of individual processes constituting the decision process is executed. A decision support method and apparatus characterized by analyzing the characteristics of the evaluation function of (1), setting a goal for adjusting the characteristics, and determining an additional process for changing the determined process so as to satisfy the goal. It is disclosed.
【０００６】また特開平1-319855に示すように、択一的
に選択すべき複数の項目からなる検討対象を独立対象と
従属対象とに分類し、検討対象ごとに優先度、上限得点
及び下限得点を設定し、各検討対象から上限得点以上で
上限得点に最も近い得点を有する項目を選択した項目の
組合せから始めて、選択した項目の得点と次点の得点と
の差と優先度の積の差が最も小さい検討対象から選択す
る項目を次点の項目に変更した組合せを下限得点までの
範囲で順次作成して、独立対象と従属対象との間の所定
の無矛盾性を判定し、最初に無矛盾性を満足した組合せ
を意思決定結果とすることを特徴とする意思決定シミュ
レ−ション処理方法が開示されている。Further, as disclosed in Japanese Patent Laid-Open No. 1-319855, an examination target consisting of a plurality of items to be selected alternatively is classified into an independent subject and a dependent subject, and a priority, an upper limit score, and a lower limit are set for each examination subject. Set the score, start from the combination of the selected items with the item having the score that is the closest to the upper limit score or more from each examination target, and calculate the product of the difference between the score of the selected item and the next score and the priority The combination of items selected from the study object with the smallest difference to the next item is created sequentially within the range up to the lower limit score, and the predetermined consistency between the independent and dependent objects is determined, and first, A decision-making simulation processing method is disclosed in which a combination satisfying the consistency is used as a decision-making result.
【０００７】さらに環境負荷の評価手法に関する従来技
術としては、ライフ・サイクル・アセスメント（以下Ｌ
ＣＡと略す）が知られている。例えば、「金属」1993年6
月号別刷48ペ-ジから54ペ-ジに示すように、自動車の地
球環境負荷を考えるのに、二酸化炭素排出量のライフサ
イクル評価を行う等、幾つかの提案が既になされてい
る。Further, as a conventional technique relating to an environmental load evaluation method, a life cycle assessment (hereinafter referred to as L
(Abbreviated as CA) is known. For example, “Metal” 1993 6
As shown in pages 48 to 54 of the monthly reprint, several proposals have already been made to consider the global environmental impact of automobiles, such as conducting a life cycle assessment of carbon dioxide emissions.
【０００８】[0008]
【発明が解決しようとする課題】しかしながら、上記の
従来技術は次に述べる問題点がある。即ち、廃棄物を廃
棄処理しようとした際、環境負荷と経済性の両方を考慮
した上で数量配分するための意思決定を行うための定量
的な意思決定支援システムの欠如である。上記の特開平
4-44128及び特開平1-319855は、環境負荷を考慮しての
経済性に関しては何ら言及されておらず、環境負荷に対
する示唆すらない。またＬＣＡの技術は、環境負荷を評
価するためのものであって、処理に伴う費用をも考慮す
べきとの示唆はあるものの、具体的に経済性を考慮した
上で数量配分するための意思決定を行うための定量的な
手法に関する言及はない。つまり、環境負荷と経済性の
両方を考慮した上で廃棄処理を具体的に数量配分するた
めの意思決定を行うための定量的な手法を有した意思決
定支援システムがなかった。さらに、廃棄物を有効活用
する廃棄処理が存在する場合に、廃棄物をどの程度有効
活用に回すか、といった廃棄物に関する意思決定を特に
意図した製品が従来なかった。However, the above-mentioned prior art has the following problems. In other words, it is a lack of a quantitative decision support system for making a decision for quantity allocation in consideration of both environmental load and economic efficiency when trying to dispose of waste. The above-mentioned JP
4-44128 and Japanese Patent Application Laid-Open No. 1-319855 do not make any mention of economic efficiency in consideration of environmental load, and do not even suggest environmental load. Also, although there is some suggestion that the LCA technology is for evaluating the environmental load and that the costs associated with the treatment should also be taken into consideration, the intention to allocate the quantity in consideration of the economic efficiency. There is no mention of quantitative methods for making decisions. In other words, there was no decision support system that had a quantitative method for making a decision to specifically allocate waste treatment in consideration of both environmental load and economic efficiency. Further, when there is a waste treatment that makes effective use of waste, there has been no product that is specifically intended to make a decision regarding waste, such as how much waste should be effectively used.
【０００９】ところで環境負荷は経済性と二律背反の関
係となっている場合が少なくない。例えば、リサイクル
等は、直接廃棄する場合に比較して一般に環境負荷が小
さく環境負荷の面からは望ましいが、リサイクルするた
めの加工等コストがかかり、経済性の面からは望ましく
ない場合がある。このように二律背反となる関係となる
可能性のある環境負荷と経済性の両方を考慮した上で数
量配分するための意思決定を行うことは、廃棄処理が複
数となり複雑になるほど困難となる傾向がある。しかる
に上述のように、環境負荷と経済性の両方を考慮した上
で廃棄処理を具体的に数量配分するための意思決定を行
うための定量的な手法を有した意思決定支援システムは
従来なかったので、意思決定者の負担は大きく、環境負
荷と経済性の両方を考慮した上での的確な意思決定を行
うことは困難であった。By the way, there are many cases where the environmental load is in a trade-off relationship with economic efficiency. For example, recycling or the like generally has a smaller environmental load than that of direct disposal and is preferable from the viewpoint of environmental load, but it may be costly due to processing such as recycling and may be undesirable from the economical point of view. In this way, it becomes difficult to make a decision for quantity allocation in consideration of both the environmental load and the economical efficiency, which may cause a trade-off relationship, as the waste disposal becomes more complicated and complicated. is there. However, as mentioned above, there has never been a decision support system that has a quantitative method for making a decision to specifically allocate waste treatment in consideration of both environmental load and economic efficiency. Therefore, the burden on the decision maker is large, and it is difficult to make an accurate decision in consideration of both environmental load and economic efficiency.
【００１０】本発明の目的は、上記従来技術が持ってい
た、環境負荷と経済性の両方を考慮した上で数量配分す
るための意思決定を行うための定量的な意思決定支援シ
ステムの欠如といった欠点を解決し、以って環境負荷と
経済性の両方を考慮した上での最適な数量配分に関する
意思決定を支援する手法を提供することを目的とする。
さらに本発明の別の目的は、環境負荷と経済性の両方を
考慮した上での最適な数量配分に関する情報を得ること
で、環境負荷をどの程度考慮すればよいかに関して意思
決定を支援する手法を提供することにある。An object of the present invention is the lack of a quantitative decision support system for making a decision for quantity allocation in consideration of both environmental load and economic efficiency, which the above-mentioned prior art has. It is an object of the present invention to solve the shortcomings and thereby provide a method for supporting the decision making regarding the optimal quantity allocation in consideration of both environmental load and economic efficiency.
Still another object of the present invention is a method for supporting decision making as to how much the environmental load should be taken into consideration by obtaining information on the optimal quantity allocation in consideration of both environmental load and economic efficiency. To provide.
【００１１】[0011]
【課題を解決するための手段】環境負荷と経済性の両方
を考慮した意思決定を支援するために、環境負荷と廃棄
処理方法ごとに最適化された廃棄処理数量との関係に関
する情報を利用者に提供することは有益である。特に、
環境負荷の重み付けと最適化された廃棄処理方法ごとの
廃棄処理数量に関する情報を利用者に提供することがで
きれば、利用者は、環境負荷と経済性の両方を考慮した
上での最適な数量配分がわかり、環境負荷をどの程度考
慮すればよいかの判断の目安とすることができる。尚、
本特許において、環境負荷の重み付けとは、設定された
環境負荷を金額に換算するための比率を指すこととす
る。環境負荷の重み付けが少ない方が、環境負荷を金額
換算した場合に少ない金額に換算される。[Means for Solving the Problems] In order to support decision making in consideration of both environmental load and economic efficiency, the user is provided with information on the relationship between the environmental load and the amount of waste disposal optimized for each waste disposal method. It is beneficial to provide In particular,
If it is possible to provide the user with information on the weight of environmental load and the amount of waste disposal for each optimized waste disposal method, the user will be able to allocate the optimal quantity in consideration of both environmental load and economic efficiency. Can be used as a guide for determining how much environmental load should be considered. still,
In the present patent, the weighting of the environmental load refers to a ratio for converting the set environmental load into a monetary amount. If the environmental load is less weighted, the amount of environmental load is converted into a smaller amount when converted into a monetary amount.
【００１２】こうした環境負荷と経済性の両方を考慮し
た意思決定を支援する手法として、廃棄処理方法ごとに
設定された廃棄物単位あたりの環境負荷と、廃棄処理方
法ごとに設定された廃棄物単位あたりの処理費用と、自
動生成された環境負荷の重み付けとから目的関数を生成
し、設定された廃棄処理方法間の相対関係あるいは設定
された個々の廃棄処理数量の制限とから制限式を設定
し、制限式の範囲で各廃棄処理の数量を最適化して得ら
れる情報を出力すればよいことを、本発明者は見出し
た。目的関数の生成においては、例えば、環境負荷の重
み付けを、廃棄処理方法ごとに設定された廃棄物単位あ
たりの環境負荷に乗じ、廃棄処理方法ごとに設定された
廃棄物単位あたりの処理費用に加える手法が挙げられ
る。但し、他の目的関数の生成手法を用いてもよい。ま
た利用者の状況を反映する数値を設定することで、制限
式を設定する。各廃棄処理の数量を最適化する手法とし
ては、例えばシンプレックス法を用いる。As a method for supporting decision making in consideration of both the environmental load and the economical efficiency, the environmental load per waste unit set for each waste treatment method and the waste unit set for each waste treatment method The objective function is generated from the treatment cost per unit and the automatically generated weight of the environmental load, and the limit expression is set based on the relative relationship between the set waste treatment methods or the set limit of the individual waste treatment quantity. The present inventor has found that the information obtained by optimizing the quantity of each disposal processing within the range of the limiting expression should be output. In generating the objective function, for example, weighting the environmental load is multiplied by the environmental load per waste unit set for each disposal method, and added to the processing cost per waste unit set for each disposal method. There is a method. However, another method of generating the objective function may be used. In addition, the limit expression is set by setting the numerical value that reflects the user's situation. As a method for optimizing the quantity of each disposal process, for example, the simplex method is used.
【００１３】次に、環境負荷の重み付けを、廃棄処理方
法ごとに設定された廃棄物単位あたりの環境負荷に乗
じ、廃棄処理方法ごとに設定された廃棄物単位あたりの
処理費用に加える手法を用いた目的関数と制限式に関し
て、さらに詳しく説明する。意思決定の検討対象とする
廃棄処理がｎ0種類あるものとする。ｉ（＝１，
２，．．．，ｎ0）番目の廃棄処理に関して、廃棄処理
数量をｑ(i)、廃棄処理に要する費用をＣＳＴ(i)、環境
負荷をＥＮＶ(i)、環境負荷の重み付けをＷＴとする。
目的関数Ｚを、下記の数１で生成する。Next, a method of multiplying the environmental load weighted by the environmental load per waste unit set for each disposal method and adding it to the disposal cost per waste unit set for each disposal method is used. The objective function and the restriction formula that were used will be described in more detail. It is assumed that there are n 0 types of disposal processing to be considered for decision making. i (= 1,
2 ,. ． ． , N 0 ) th disposal processing, the disposal processing quantity is q (i), the cost required for the disposal processing is CST (i), the environmental load is ENV (i), and the environmental load weighting is WT.
The objective function Z is generated by the following formula 1.
【００１４】[0014]
【数１】 [Equation 1]
【００１５】但し、ｑ(i)は意思決定者の状況に応じた
制限式を満たすものとする。また、ＥＮＶ(i)×ＷＴの
単位に関しては、ＣＳＴ(i)同様に金額の単位をとるも
のとする。結局、環境負荷と経済性の両方を考慮した意
思決定を支援するには、上記の制限式を満たす条件のも
とで、目的関数Ｚが最小となるよう各廃棄処理の数量ｑ
(i)を最適化すればよい。本発明においては、処理費用
に比較して環境負荷をどの程度考慮すればよいかに関し
て、環境負荷と経済性の両方を考慮した情報を利用者に
提供することを目的としているが、これには環境負荷の
重み付けＷＴを自動生成させて目的関数を生成させた
上、目的関数ｚが最小となるよう各廃棄処理の数量ｑ
(i)を最適化し、最適化された各廃棄処理の数量ｑ(i)と
環境負荷の重み付けＷＴの関係に関する情報を出力すれ
ばよい。また本発明においてはリサイクル処理も廃棄処
理の一つと見なすと既に述べたが、リサイクル処理の場
合にＣＳＴ(i)に設定されるべき数値は、リサイクル処
理を行うのに必要な費用から、リサイクル処理によって
浮いた原料費等を差し引いたものとする。However, it is assumed that q (i) satisfies the limiting expression according to the situation of the decision maker. Further, regarding the unit of ENV (i) × WT, the unit of money is taken as in CST (i). After all, in order to support the decision making in consideration of both the environmental load and the economical efficiency, the quantity q of each disposal process is minimized so that the objective function Z is minimized under the condition that the above-mentioned restriction formula is satisfied.
(i) should be optimized. In the present invention, it is an object of the present invention to provide the user with information regarding both the environmental load and the economic efficiency regarding how much the environmental load should be considered in comparison with the processing cost. The weight q of the environmental load is automatically generated to generate the objective function, and the quantity q of each disposal process is set so that the objective function z is minimized.
It is only necessary to optimize (i) and output information regarding the relationship between the optimized quantity q (i) of each disposal process and the environmental load weighting WT. Further, in the present invention, it has already been stated that the recycling process is also regarded as one of the disposal processes. However, in the case of the recycling process, the value to be set in CST (i) is the cost required to carry out the recycling process. It is assumed that the raw material cost etc.
【００１６】以上をまとめれば、本発明にあっては、廃
棄処理方法ごとに設定された単位処理当たりの環境負荷
及び処理費用と、自動生成された環境負荷の重み付けか
ら、目的関数を自動生成し、最適化処理を行い、環境負
荷の重み付けと各廃棄処理数量割り当ての関係に関する
情報を出力することによって、環境負荷と経済性の両方
を考慮した上で廃棄処理を具体的に数量配分するための
意思決定を行うための定量的な手法を有した意思決定支
援システムを提供し、各廃棄処理数量割り当てに関する
利用者の意思決定を支援する。In summary, according to the present invention, the objective function is automatically generated from the environmental load and the processing cost per unit process set for each disposal method and the automatically generated weighting of the environmental load. By performing optimization processing and outputting information related to the relationship between the environmental load weighting and each disposal processing quantity allocation, the quantity of disposal processing can be specifically distributed in consideration of both environmental load and economic efficiency. We provide a decision support system that has a quantitative method for making a decision, and support the user's decision making regarding each waste treatment quantity allocation.
【００１７】[0017]
【実施例】本発明による廃棄処理数量割当て意思決定支
援システムの実施例を説明する。廃棄処理数量割当て意
思決定支援システムは図１に示すように、入出力端末装
置１、処理費用設定部３、環境負荷設定部４、目的関数
生成部５、制限式設定部６、数量最適化演算部７、出力
端末装置８で構成される。このうち処理費用設定部３、
環境負荷設定部４、目的関数生成部５、制限式設定部
６、数量最適化演算部７は、ホスト計算機２の中で処理
を行う。[Embodiment] An embodiment of a disposal processing quantity allocation decision support system according to the present invention will be described. As shown in FIG. 1, the disposal processing quantity allocation decision support system includes an input / output terminal device 1, a processing cost setting unit 3, an environmental load setting unit 4, an objective function generating unit 5, a limiting expression setting unit 6, and a quantity optimizing calculation. It comprises a unit 7 and an output terminal device 8. Of these, the processing cost setting unit 3,
The environmental load setting unit 4, the objective function generation unit 5, the limit expression setting unit 6, and the quantity optimization calculation unit 7 perform processing in the host computer 2.
【００１８】次に、各構成部の関係を説明する。入出力
端末装置１に利用者の入力を指示する画面が表示され、
利用者は入出力端末装置１によって数値入力を行い、入
力された数値が、処理費用設定部３、環境負荷設定部
４、目的関数生成部５、制限式設定部６の数値設定に用
いられる。処理費用設定部３、環境負荷設定部４、目的
関数生成部５、制限式設定部６で設定された数値に基づ
いて、数量最適化演算部７で数量最適化計算を行い、最
適化された廃棄処理数量に関する情報を出力端末装置８
及び入出力端末装置１で出力する。Next, the relationship between the components will be described. A screen for instructing user input is displayed on the input / output terminal device 1,
The user inputs a numerical value through the input / output terminal device 1, and the input numerical value is used for the numerical value setting of the processing cost setting unit 3, the environmental load setting unit 4, the objective function generating unit 5, and the limiting expression setting unit 6. Based on the numerical values set by the processing cost setting unit 3, the environmental load setting unit 4, the objective function generating unit 5, and the limiting expression setting unit 6, the quantity optimizing calculation unit 7 performs the quantity optimizing calculation and is optimized. Outputs information about the amount of waste disposal 8
And output at the input / output terminal device 1.
【００１９】次に、廃棄処理の処理費用と環境負荷を考
慮した目的関数生成に関する処理に関して、図２を用い
ながら説明する。廃棄処理の処理費用と環境負荷を考慮
した目的関数生成に関する処理は、入出力端末装置１か
ら入力された数値を、処理費用設定部３と環境負荷設定
部４と目的関数生成部５において、図２のフロ−チャ−
トに従って処理を行う。即ち、利用者は、まず意思決定
の対象となる廃棄処理法が何種類存在するかを、整数ｎ
0として設定する。次に廃棄処理の処理費用と環境負荷
とを考慮した目的関数の係数ｃ(i)を設定する。ｃ(i)の
設定は、廃棄処理に要する費用をＣＳＴ(i)、環境負荷
をＥＮＶ(i)とした場合、下記の数２で行う。Next, the processing relating to the objective function generation in consideration of the processing cost of the disposal processing and the environmental load will be described with reference to FIG. For the processing related to the objective function generation in consideration of the processing cost of the disposal processing and the environmental load, the numerical value input from the input / output terminal device 1 is displayed in the processing cost setting unit 3, the environmental load setting unit 4, and the objective function generating unit 5 as follows. Flow of 2
According to the procedure. That is, the user first determines how many types of waste disposal methods to be decided are the integer n.
Set as 0 . Next, the coefficient c (i) of the objective function in consideration of the disposal cost of disposal and the environmental load is set. The setting of c (i) is performed by the following formula 2 when the cost required for disposal is CST (i) and the environmental load is ENV (i).
【００２０】[0020]
【数２】 [Equation 2]
【００２１】このようにして設定された目的関数の係数
ｃ(i)から、ｎ≧ｎ0なるｎを要素数とする１×ｎの行ベ
クトルｃを下記の数３のように設定することが可能と
なる。From the coefficient c (i) of the objective function set in this way, a 1 × n row vector c having n as the number of elements n ≧ n 0 can be set as shown in the following expression 3. It will be possible.
【００２２】[0022]
【数３】 (Equation 3)
【００２３】本発明においては、環境負荷の重み付けＷ
Ｔを自動生成し、廃棄処理方法ごとに設定された単位処
理当たりの環境負荷及び処理費用とから、目的関数を自
動生成する。In the present invention, the environmental load weighting W
T is automatically generated, and the objective function is automatically generated from the environmental load per unit processing and the processing cost set for each disposal method.
【００２４】次に、制限式設定部６における処理に関し
て、図３を用いながら説明する。まず、利用者は、まず
各廃棄処理の数量に関する制限式の数を、ｍとして設定
する。次に、廃棄処理の数量に関する制限式に応じて、
ｍ×ｎの行列Ａ及びｍ×１の列ベクトルｂの要素を
設定する。図３に示すフロ−チャ−トに従って、行列
Ａのｉ行ｊ列目の要素ａ(ｉ)(ｊ）と列ベクトルｂ
のｊ番目の要素ｂ(ｊ)を設定する。廃棄処理の数量に関
する制限式に不等式がある場合は、シンプレックス法の
定石であるスラック定数を導入することで対応する。Next, the processing in the restriction formula setting unit 6 will be described with reference to FIG. First, the user first sets the number of limiting expressions regarding the quantity of each disposal process as m. Next, according to the restriction formula regarding the quantity of disposal,
Set the elements of the m × n matrix A and the m × 1 column vector b. According to the flowchart shown in FIG. 3, the element a (i) (j) at the i-th row and the j-th column of the matrix A and the column vector b
Set the j-th element b (j) of If there is an inequality in the restriction formula regarding the quantity of waste treatment, it is dealt with by introducing the slack constant, which is the standard of the simplex method.
【００２５】次に、数量最適化演算部７における処理に
ついて説明する。前述したように、ある許容基底解から
出発して基底変数をシステマティックに入れ替えること
により、許容基底解を改良し、最適解があればそれに到
達し、それ以外の場合もおのおのその状況を報知する方
法としてシンプレックス法があるが、数量最適化演算部
７においても、シンプレックス法を用いる。大野豊・磯
田和男監修「新版数値計算ハンドブック（オ−ム社，１
９９０年）」８０６ペ−ジから８２４ペ−ジの「９．２
線形計画法」に記載されているように、シンプレックス
法が対象とするのは、Ａｘ＝ｂ，ｘ≧０の下
で、ｚ＝ｃｘを最小にするという形の問題である。
但し、Ａをｍ×ｎの行列、ｂをｍ×１の列ベクト
ル、ｃを１×ｎの行ベクトルとし、各要素は定数であ
るとする。また、ｘをｎ×１の未知数を要素とする列
ベクトルとする。シンプレックス法は、ある許容基底解
から出発して基底変数をシステマティックに入れ替える
ことにより、許容基底解を改良し、最適解があればそれ
に到達し、それ以外の場合もおのおのその状況を報知す
る方法である。更に、シンプレックス法の一方法である
２段階法を用いれば、問題に対する許容解の有無の判
別、最適解が求まる場合と無限最適解になる場合の判別
も可能となる。Next, the processing in the quantity optimizing calculation unit 7 will be described. As mentioned above, the method of improving the permissible basis solution by starting from a certain permissible basis solution and systematically exchanging the basis variables, reaching the optimal solution if it exists, and notifying the situation in other cases There is a simplex method as the above, but the simplex method is also used in the quantity optimizing calculation unit 7. Supervised by Yutaka Ono and Kazuo Isoda "New Edition Numerical Calculation Handbook (Ohmsha, 1
990) "806 to 824" 9.2 "
As described in "Linear Programming", the simplex method is targeted at a problem of minimizing z = cx under Ax = b, x ≧ 0.
However, A is an m × n matrix, b is an m × 1 column vector, c is a 1 × n row vector, and each element is a constant. Further, x is a column vector having n × 1 unknowns as elements. The simplex method is a method of starting from a certain permissible basis solution and systematically replacing the basis variables to improve the permissible basis solution, reaching the optimal solution if it exists, and notifying the situation in other cases. is there. Furthermore, if a two-step method, which is one of the simplex methods, is used, it is possible to determine whether there is an acceptable solution to the problem, and whether the optimal solution is obtained or the infinite optimal solution.
【００２６】数量最適化演算部７において対象とする問
題は、Ａｘ＝ｂ，ｘ≧０の下で、ｚ＝ｃ
ｘを最小にするという形の問題である。但し、Ａ、
ｂ、ｃは、上述の説明で設定されたものとする。ま
た、ｘをｎ×１の未知数を要素とする列ベクトルであ
るが、具体的には、ｉ番目の廃棄処理の処理数量をｑ
(i)とすれば、下記の数４でｘを設定する。The problem to be addressed in the quantity optimizing operation unit 7 is z = c under Ax = b, x ≧ 0.
It is a problem in the form of minimizing x. However, A,
b and c are assumed to be set in the above description. Further, x is a column vector having n × 1 unknowns as elements. Specifically, the processing quantity of the i-th discard processing is q
If it is (i), x is set by the following formula 4.
【００２７】[0027]
【数４】 [Equation 4]
【００２８】但し、右辺のTは転置を表す。数量最適化
演算部７では、シンプレックス法の一方法である２段階
法を用いることとするため、問題に対する許容解の有無
の判別、最適解が求まる場合と無限最適解になる場合の
判別も可能となり、意思決定に有益な知見を得ることが
できる。但し、数量最適化の手法としてシンプレックス
法を用いる代わりに、同様の機能を持つ他の最適化手法
で代用してもよい。However, T on the right side represents transposition. Since the two-step method, which is one of the simplex methods, is used in the quantity optimizing calculation unit 7, it is possible to determine whether there is an acceptable solution to the problem, and whether the optimal solution is obtained or the infinite optimal solution is determined. Therefore, it is possible to obtain useful knowledge for decision making. However, instead of using the simplex method as a quantity optimization method, another optimization method having a similar function may be used instead.
【００２９】次に、数量最適化演算部７において得られ
た情報の出力に関して説明する。上記したように数量最
適化演算部７で２段階法を用いることによって、問題に
対する許容解の有無の判別、最適解が求まる場合と無限
最適解になる場合の判別も可能であるので、出力可能な
情報としては、許容解の有無の判別情報、最適解が求ま
る場合と無限最適解になる場合の判別情報、そして許容
解が存在する場合は廃棄処理数量に関する数値情報を挙
げることができる。これらの情報を用いて、出力端末装
置８及び入出力端末装置１に出力する例として、図４及
び図５に示すように、本発明の廃棄処理数量割当て意思
決定支援システムを用いて得た、環境負荷の重み付け
と、最適化された廃棄処理方法ごとの廃棄処理数量に関
する情報をビジュアルに出力結果を出すことによって、
利用者の廃棄処理数量割当て意思決定に関する支援を行
うことができる。即ち、環境負荷の重み付けと、最適化
された廃棄処理方法ごとの廃棄処理数量に関する情報
を、図４のように表形式で、あるいは図５のようにグラ
フ形式で提供することによって、処理費用に比較して環
境負荷をどの程度考慮すればよいかに関する情報を、利
用者は得ることができ意思決定に役立てることが可能と
なる。Next, the output of the information obtained in the quantity optimizing calculation unit 7 will be described. As described above, by using the two-step method in the quantity optimization calculation unit 7, it is possible to determine whether there is an acceptable solution to the problem, and to determine when the optimal solution is obtained and when it is an infinite optimal solution, so that it is possible to output. Such information can include discrimination information regarding the presence or absence of an acceptable solution, discrimination information when an optimal solution is obtained and when it is an infinite optimal solution, and numerical information regarding the disposal processing quantity when an acceptable solution exists. As an example of outputting to the output terminal device 8 and the input / output terminal device 1 using these pieces of information, as shown in FIGS. 4 and 5, it is obtained by using the discard processing quantity allocation decision support system of the present invention. By visually outputting the information about the weight of environmental load and the information about the quantity of waste disposal for each optimized waste disposal method,
It is possible to support the decision-making process for allocating disposal quantity of users. That is, by providing the weighting of the environmental load and the information on the quantity of waste disposal for each optimized waste disposal method in the table format as shown in FIG. 4 or the graph format as shown in FIG. By comparison, the user can obtain information regarding how much the environmental load should be considered, and it can be useful for decision making.
【００３０】以上説明した本実施例を用いて、環境負荷
と経済性の両方を考慮しつつ、廃棄数量の割当てに関す
る意思決定の支援を行うことが可能となる。By using the present embodiment described above, it becomes possible to support decision-making regarding allocation of waste quantity, while considering both environmental load and economic efficiency.
【００３１】[0031]
【発明の効果】以上説明したように、本発明では、廃棄
処理方法ごとに設定された廃棄物単位あたりの環境負荷
と、廃棄処理方法ごとに設定された廃棄物単位あたりの
処理費用と、設定された廃棄処理方法間の相対関係ある
いは設定された個々の廃棄処理数量の制限より、環境負
荷と廃棄処理方法ごとに最適化された廃棄処理数量との
関係に関する情報を出力する構成をとることにより、環
境負荷と経済性の両方を考慮した各廃棄処理数量割り当
ての意思決定を支援することが可能となり、廃棄処理数
量の割当てに関する意思決定を支援する効果がある。As described above, according to the present invention, the environmental load per waste unit set for each disposal method, the treatment cost per waste unit set for each disposal method, and the setting Depending on the relative relationship between the waste disposal methods that have been set or the limit of the individual disposal quantity that has been set, by taking the configuration that outputs the information on the relationship between the environmental load and the optimized disposal quantity for each disposal method In addition, it becomes possible to support the decision making of each waste treatment quantity allocation in consideration of both the environmental load and the economical efficiency, and it is effective in supporting the decision making regarding the disposal treatment quantity allocation.
【００３２】更に、処理費用に比較して環境負荷をどの
程度考慮すればよいかに関する情報を利用者は得ること
ができ、意思決定に役立てることが可能となる。Furthermore, the user can obtain information regarding how much the environmental load should be considered in comparison with the processing cost, and can be useful for decision making.
【００３３】更に、複数の廃棄処理方法が存在し複雑な
意思決定が必要とされる場合でも、合理的な意思決定を
支援するという効果がある。Further, even when there are a plurality of disposal methods and complicated decision making is required, there is an effect of supporting rational decision making.
【００３４】加えて、廃棄処理として廃棄物をリサイク
ル等の有効活用を含む場合においても、合理的な廃棄処
理数量の割当てに関する意思決定を支援する効果があ
る。In addition, even when the waste treatment includes effective utilization such as recycling of the waste, there is an effect of supporting the decision making regarding the rational allocation of the waste treatment quantity.
【図１】本発明の廃棄処理数量割当て意思決定支援シス
テムの実施例を示す構成図である。FIG. 1 is a configuration diagram showing an embodiment of a decision processing support system for allocating disposal quantity according to the present invention.
【図２】廃棄処理の処理費用と環境負荷を考慮した目的
関数生成に関する処理のフロ−チャ−トである。FIG. 2 is a flowchart of processing regarding objective function generation in consideration of processing cost of disposal processing and environmental load.
【図３】図１の制限式設定部における処理のフロ−チャ
−トである。FIG. 3 is a flowchart of processing in a restriction formula setting unit in FIG.
【図４】本発明の廃棄処理数量割当て意思決定支援シス
テムを用いて意思決定を行う例において表形式で出力さ
れた結果の説明図である。FIG. 4 is an explanatory diagram of a result output in a table format in an example of making a decision using the disposal processing quantity allocation decision support system of the present invention.
【図５】本発明の廃棄処理数量割当て意思決定支援シス
テムを用いて意思決定を行う例においてグラフ形式で出
力された結果の説明図である。FIG. 5 is an explanatory diagram of a result output in a graph format in an example of making a decision using the decision processing support system for allocating the disposal amount of the present invention.
１ 入出力端末装置 ２ ホスト計算機 ３ 処理費用設定部 ４ 環境負荷設定部 ５ 目的関数生成部 ６ 制限式設定部 ７ 数量最適化演算部 ８ 出力端末装置 1 Input / output terminal device 2 Host computer 3 Processing cost setting part 4 Environmental load setting part 5 Objective function generating part 6 Limiting expression setting part 7 Quantity optimization calculating part 8 Output terminal device
Claims (6)
廃棄処理数量割り当てに関する意思決定支援において、
廃棄処理方法ごとに設定された廃棄物単位あたりの環境
負荷と、廃棄処理方法ごとに設定された廃棄物単位あた
りの処理費用と、設定された廃棄処理方法間の相対関係
あるいは設定された個々の廃棄処理数量の制限から、環
境負荷と廃棄処理方法ごとに最適化された廃棄処理数量
との関係に関する情報を生成し出力することを特徴とす
る廃棄処理数量割り当て意思決定支援システム。1. In decision support regarding allocation of each disposal amount when there are a plurality of disposal methods,
The environmental load per waste unit set for each waste treatment method, the treatment cost per waste unit set for each waste treatment method, and the relative relationship between the set waste treatment methods or the set individual waste treatment methods. A disposal processing quantity allocation decision support system, which generates and outputs information about the relationship between the environmental load and the disposal processing quantity optimized for each disposal processing method based on the restriction of the disposal processing quantity.
化された廃棄処理数量との関係に関する情報として、環
境負荷の重み付けと最適化された廃棄処理方法ごとの廃
棄処理数量に関する情報を出力することを特徴とする請
求項１記載の廃棄処理数量割り当て意思決定支援システ
ム。2. As the information on the relationship between the environmental load and the optimized disposal processing amount for each disposal method, information on the environmental load weighting and the disposal processing quantity for each optimized disposal method is output. A disposal support quantity allocation decision support system according to claim 1.
化された廃棄処理数量との関係に関する情報の生成手法
として、廃棄処理方法ごとに設定された廃棄物単位あた
りの環境負荷と、廃棄処理方法ごとに設定された廃棄物
単位あたりの処理費用と、設定された廃棄処理方法間の
相対関係あるいは設定された個々の廃棄処理数量の制限
とを用いて、目的関数を自動生成し最適化処理を行うこ
とを特徴とする請求項１記載の廃棄処理数量割り当て意
思決定支援システム。3. An environmental load per waste unit set for each disposal method and a disposal process as a method of generating information on the relationship between the environmental load and the disposal amount optimized for each disposal method. An objective function is automatically generated and optimized using the treatment cost per waste unit set for each method and the relative relationship between the set waste treatment methods or the set limit of individual waste treatment methods. The decision support system for allocating a disposal quantity according to claim 1, wherein:
て、廃棄処理方法ごとに設定された廃棄物単位あたりの
環境負荷に、自動生成された環境負荷の重み付けを乗
じ、廃棄処理方法ごとに設定された廃棄物単位あたりの
処理費用に加えることで目的関数を自動生成することを
特徴とする請求項３記載の廃棄処理数量割り当て意思決
定支援システム。4. As a method of automatically generating the objective function, the environmental load per waste unit set for each disposal method is multiplied by the weight of the automatically generated environmental load, and set for each disposal method. 4. The decision processing support system for allocating waste disposal quantity according to claim 3, wherein the objective function is automatically generated by adding to the disposal cost per waste unit.
を再利用あるいは有効活用する処理方法が含まれること
を特徴とする請求項１記載の廃棄処理数量割り当て意思
決定支援システム。5. The waste disposal quantity allocation decision support system according to claim 1, wherein the plurality of waste disposal methods include a disposal method for reusing or effectively utilizing waste.
法を用いることを特徴とする請求項３記載の廃棄処理数
量割り当て意思決定支援システム。6. The disposal support quantity allocation decision support system according to claim 3, wherein a simplex method is used as the optimization processing.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP8468395A JPH08255148A (en) | 1995-03-15 | 1995-03-15 | Intention decision support system for disposal process quantity assignment |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP8468395A JPH08255148A (en) | 1995-03-15 | 1995-03-15 | Intention decision support system for disposal process quantity assignment |
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| Publication Number | Publication Date |
|---|---|
| JPH08255148A true JPH08255148A (en) | 1996-10-01 |
Family
ID=13837495
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP8468395A Pending JPH08255148A (en) | 1995-03-15 | 1995-03-15 | Intention decision support system for disposal process quantity assignment |
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| Country | Link |
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| JP (1) | JPH08255148A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH09249764A (en) * | 1996-03-15 | 1997-09-22 | Toshiba Corp | Information management system for about waste treatment |
| JP2018180943A (en) * | 2017-04-13 | 2018-11-15 | 新日鐵住金株式会社 | Plan creation apparatus, plan creation method, and program |
-
1995
- 1995-03-15 JP JP8468395A patent/JPH08255148A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH09249764A (en) * | 1996-03-15 | 1997-09-22 | Toshiba Corp | Information management system for about waste treatment |
| JP2018180943A (en) * | 2017-04-13 | 2018-11-15 | 新日鐵住金株式会社 | Plan creation apparatus, plan creation method, and program |
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