日本財団 図書館


(参考資料)
 
By Vitali Kliuev
Russia
 
Universal model of Target factor for PSC
 It is assumed that targeting inspection system on PSC is based on the statistical particulars of PSC inspections in the region. The aim of the current research is attempt to define the target factor (TF) for selection ships for an inspection as objective system basing only on the data contained in the database and reflecting current data on every moment.
 The main idea of the proposed approach is calculation of a figure on a ship (overall target factor - OTF) as a combination of elements (L) produced from the ship inspection history and compared with the average values of the same elements for all ships in the database.
 To implement the above approach first of all it necessary to recognize dependencies of OTF elements from the various data contained in the database. It is assumed that for the initial (basic) data the ship particulars and inspection results are accepted. There are:
- ship type (t),
- ship flag State (f),
- ship age (a),
- ship Classification society - (cs);
- inspections with deficiencies (def);
- inspections with detentions (det);
- number of deficiencies per inspection (adef);
- number of detainable deficiencies per inspection (adet);
- number of non-rectified deficiencies (nr);
- time from the last inspection (τ);
- authority of the last inspection (A).
 Some other data may be added to the list above subject for more detailed analysis.
 
 Description of data mentioned
 Data related to time.
 Ship age, and time from the last inspection are time-related data. Actually, in the database the only year of build is recorded for each vessel. So, the ship age may be calculated as a difference between current date (year) and the year of build of the ship. Since exact date of build of a ship is unknown the number of years of age is considered. Time from the last inspection is a timeframe between current date and the date of the last inspection of the ship.
 Data related to lists.
 Ship flag, ship type, ship CS, and Authority of the last inspection may not be reflected in numbering system directly. At the same time the variables exactly determined and each ship is definitely belongs to exact value.
 Data related to numeric characteristics.
 The numeric data are originally stored in the numeric format and may be used in that format. At the same time it is recognized that the absolute values of numeric date are difficult to compare. Therefore it is proposed to consider relative values instead of absolute ones:
- percentage of inspections with deficiencies (a ratio of number of inspections with deficiencies to total number of inspections);
- detainability (a ratio of number of inspections with detentions to total number of inspections);
- average number of deficiencies per inspection (a ratio of total number of deficiencies to total number of inspections);
- average number of detainable deficiencies per inspection (a ratio of total number of detainable deficiencies to total number of inspections with detentions);
- average number of non-rectified deficiencies per inspection (a ratio of total number of non-rectified deficiencies to total number of inspections with deficiencies);
- period of inspections (average number of months between sequential inspections of the same vessel).
 
 It is recognized from the current set of data collected by the APCIS database that the data may be divided onto two groups:
- data related to the ship particulars (Group Factor - GF);
- data related to inspection results of a ship (Historical Factor - HF).
 Therefore the OTF may be calculated as
 
OTF = GF + HF (1)
 
 Group Factor is a combination of elements related to ship groups (or better to say to ship particulars) independently on results of inspections of the particular ship. The GF may be defined as:
 
 
where i- index of an element,
n - number of elements,
kGFi - weighting coefficient of element i,
LGFi - value of element i.
 Taking into account structure of the inspection report (Forms A and B) and set of data presented in the APCIS central database the following elements of LGFi may be represented:
- ship type (t),
- ship flag (f),
- ship age (a),
- ship recognized organization (RO).
 And, thus, domain of i in (2) is {t, f a, RO}.
 On its tern each of the elements depends on the variables as defined below:
 
LGFi = F (Xidef,Xidet, Xiadef, Xiadet, Xinr, Xiτ) (3)
 
where Xdef - ratio of inspections with deficiencies,
Xdet - ration of detainable inspections,
Xadef - average number of deficiencies per inspection,
Xadet - average number of detainable deficiencies per inspection,
Xnr - number of deficiencies non-rectified,
Xτ - period between inspections.
 
 On the initial stage of the developments it is suggested to use a simplified function for LGF:
 
LGFi = PdefXidef + PdetXidef + ・・・ + PτXiτ, (4)
where px - weighting coefficient for an appropriate parameter,
x - index of a parameter.
 The simplest way for the px identification is to define it equal for all parameters. But, a more effective approach is calculation of the px from the current inspection data. Taking into account the aim of the TF system, that is, selection ships for inspection from all ships available, it is logical to assume that the px should depend on a range of values of appropriate parameter for inspection records collected. If so, the value of the px may be defined as:
 
px = sx / Mx, (5)
 
where sx - standard deviation of parameter x for a sample X,
Mx - average of distribution for a sample X.
 The are two methods may be used for definition of parameters X in (4) - direct (absolute) and reduced ones. For the reduced method value of Mx is recognized as 0, and, therefore, a value of X < Mx leads to negative correspondent reduced value X*. The negative value on its turn reduces overall value. One positive thing for the reduced method is dimensionless variables. For the reduced method (4) may be redesigned as:
 
LGFi = PdefX*idef + PdetX*idef + ・・・ + PτX*iτ, (6)
 
rДe X*idef = (Xidef - Midef) / Midef,
X*idet = (Xidet - Midet) / Midet,
X*iτ = (Xiτ - Miτ) / Miτ,
 
 Decompressing formula (2) the following Group Factor is a result:
 
GF = kGFaLGFa + kGFtLGFt + kGFfLGFf + kGFROLGFRO. (5.7)
 
 Weighting coefficients kGFi define influence of a particular factor to final value of GF. Two methods of definition of the coefficients may be considered. The first one is expert method where a value is stipulated by experts (the method is used in the current Tokyo MOU TF system). The second one is statistical method. For the statistical method values of coefficients are calculated as:
 
 
where i - factor index with domain i = {a, t, f, RO};
j - argument index with domain j = {def, det, adef, adet, nr, τ, a };
m - number of arguments (m = 7).
 
 Historical Factor (HF) establishes dependence of TF from the results of the previous inspections of the ship.
 Similarly to the definition of GF the HF may be introduced as:
 
 
where kHFi - weighting coefficient of element i;
LHFi - value of element i;
n - number of elements.
 
 Considering data definitions given above the LHFi is defined as:
 
LHFi = qdefYidef + qdetYidet + ・・・ + qτYiτ, (10)
 
where qY = sY / qMY - weighting coefficients of appropriate arguments,
sY - standard deviation of parameter y for a sample Y,
MY - average of distribution for a sample Y,
Y - appropriate argument.
 Redesigning (10) to dimensionless mode, the following formula is received:
 
LHFi = qdefY*idef + qdetY*idet +・・・ + qτY*iτ, (11)
 
where Y*idef = (Yidef - Mdef) / Mdef;
Y*idet = (Yidet - Mdet) / Mdet;
Y*iτ = (Yiτ - Mτ) / Mτ.
 
 And finally for HF:
 
HF = + kHFdefLHFdef + kHFdetLHFdet + ・・・ + kHFτLHFτ, (12)
and
 
 
where i - index with domain i = {def, det, adef adet, nr, A, τ};
j - index with domain j = {def, det, nr, τ};
m - number of arguments (m=7).
 
 In conclusion it should be mentioned that the above is just first attempt to develop objective approach to TS system independent on political, or regional trends. The method requires some more detailed developments including more careful definition of variables, elements and parameters of the system. Some testing on actual data should also be performed.







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