*4.3.1 General overview*

nArtrepawg, nArtrepmin, nArtrepmax, nArtrepVrp � �,

nArtwasteawg, nArtwastemin, nArtwastemax, nArtwasteVrp � �<sup>g</sup>

f g ½ � Gmtvis\_awg, GmVrp ¼ f nArtgoodawg, nArtgoodmin, nArtgoodmax, nArtgoodVrp

nArtrepawg, nArtrepmin, nArtrepmax, nArtrepVrp � �,

nArtwasteawg, nArtwastemin, nArtwastemax, nArtwasteVrp � �<sup>g</sup>

f g ½ � Gmtquant\_awg, GmVrp ¼ f nArtgoodawg, nArtgoodmin, nArtgoodmax, nArtgoodVrp

nArtrep ¼ nArtrepawg, nArtrepmin, nArtrepmax, nArtrepVrp � �,

nArtwasteawg, nArtwastemin, nArtwastemax, nArtwasteVrp � �<sup>g</sup>

f½ � Gmtemp\_awg*;* GmVrp *;* f g ½ � Gmtvis\_awg*;* GmVrp *;* ½ � Gmtvis\_awg*;* GmVrp

nArtgoodVrpð Þ1 *; ;*� ½ nArtrepawg*;* ð Þ1 *;* nArtrepmin*;* nArtrepmax*;* ð Þ1 *;* nArtrepVrpð Þ1 *; ;*� ½nArtwasteawgð Þ1 *; ;*

*;*

¼ f nArtgoodawg*;* nArtgoodmin*;* nArtgoodmax*;* nArtgoodVrp h i

*Operations Management - Emerging Trend in the Digital Era*

nArtwasteawg*;* nArtwastemin*;* nArtwastemax*;* nArtwasteVrp h i

Y 1ð Þ ¼ f½ � Gmtemp\_awg ð Þ1 *;* GmVrp ð Þ1 *;* f½ � Gmtvis\_awg 1ð Þ*;* GmVrp ð Þ1 *;* ½Gmtvis\_awg ð Þ1 *;* GmVrp �g ¼ f½nArtgoodawgð Þ1 *;* nArtgoodmin*;* ð Þ1 *;* nArtgoodmax*;* ð Þ1 *;*

Y 2ð Þ ¼ f½ � Gmtemp\_awg ð Þ2 *;* GmVrp ð Þ2 *;* f½ � Gmtvis\_awg 2ð Þ*;* GmVrp ð Þ2 *;* ½Gmtvis\_aw ð Þ2 *;* GmVrp �g ¼ f½nArtgoodawgð Þ2 *;* nArtgoodmin*;* ð Þ2 *;* nArtgoodmax*;* ð Þ2 *;* nArtgoodVrpð Þ2 *; ;*� ½ nArtrepawg*;* ð Þ2 *;* nArtrepmin*;* nArtrepmax*;* ð Þ2 *;* nArtrepVrpð Þ2 *; ;*� ½nArtwasteawg

Y m3 ð Þ ¼ f½ � Gmtemp\_awg ð Þ m3 *;* GmVrp ð Þ m3 *;* f½ � Gmtvis\_awg m3 ð Þ*;* GmVrp ð Þ m3 *;* ½Gmtvis\_awg ð Þ m3 *;* GmVrp �g ¼ f½nArtgoodawgð Þ m3 *;* nArtgoodmin*;* ð Þ m3 *;* nArtgoodmax*;* ð Þ m3 *;*

f½ð �g ¼ DevlTrend ½ð � T 1ð Þ,Y 1ð Þ , T2 ½ð � ð Þ,Y 2ð Þ , … *::*½ðT m3 ð Þ, Y m3 ð Þ�g (43)

In general, the knowledge stored with ES knowledge base are represented by semantic networks (SNWs), while partial rules might be compared **with partial SNW**s, complex rules might be compared with **ordinary SNWs** and development trends (DevlTrend) might be compared with **superior SNWs**. This approach will be discussed within Case study in more details and applied when designing and

nArtgoodVrpð Þ m3 *; ;*� ½ nArtrepawg*;* ð Þ m3 *;* nArtrepmin*;* nArtrepmax*;* ð Þ m3 *;* nArtrepVrpð Þ m3 *;* �*;*

implemented an appropriate knowledge-based or expert system as well.

nArtwasteawgð Þ m3 *;* nArtwasteminð Þ m3 *;* nArtwastemaxð Þ2 *; ;* nArtwasteVrpð Þ m3 h i

nArtrepawg*;* nArtrepmin*;* nArtrepmax*;* nArtrepVrp h i

nArtwasteminð Þ1 *;* nArtwastemaxð Þ1 *;* nArtwasteVrpð Þ1 �g

ð Þ2 *;* nArtwasteminð Þ2 *;* nArtwastemaxð Þ2 *;* nArtwasteVrpð Þ�g 2

Complex rule

**204**

� �,

� �,

*;*

g

(37)

(38)

(39)

(40)

(41)

(42)

g

In general, a horizontal structure of any business process (BP) is being created via appropriate set of business process functions (BPFs), while the BPF seems to be the principle component of any business process. On the other hand, any BPF might be quantified via multi-layer linguistic set, while at the first layer three significant linguistic subsets might be observed:


However, both the above-mentioned linguistic sets are very closed to {[BPF\_TT1 (i, j1)]} the content of which is created by elements closely related to transformation of BPF inputs to predefined BPF outputs as well.

### *4.3.2 BPF inputs versus BPF outputs*

Let us consider the {[Petx (i, j1)]}, which contains a finite number of elements denoted as pt.(i, 1), pt.(i, 2), … pt.(i, m1), while each of them is created by the element average and element extend of variations value (see also formula (44).

pt.(i, j1), = ((pt(i, j1)avg., (pt(i, j1)vrp)

$$\text{pt.} (\mathbf{i}, \mathbf{j2}), \quad = ((\mathbf{pt}(\mathbf{i}, \mathbf{j2}) \mathbf{avg}, (\mathbf{pt}(\mathbf{i}, \mathbf{j2}) \mathbf{vrp}) \tag{44})$$

pt.(i, jm1), = ((pt(i, jm1)avg., (pt(i, jm1)vrp)

#### **4.4 Case study**

Let us consider a statistic file represented by **Table 1** and set of statistic indicators represented by **Table 2**.

Now, let us create a ratio set {Rs} and reference table (**Table 3**), which deals with assignment of words to ratio value intervals (**Table 4**).

$$\begin{array}{l} \{\text{Rs}\} = \{ ^{125}\hat{\}\_{1811,1} ^{5,1}\hat{\}\_{4,1} ^{10}\hat{\}\_{52,2} ^{270}\hat{\}\_{1081,1} ^{60}\hat{\}\_{49,9} \} \\ = \{ \mathbf{0}, \mathbf{0} \not\mathbf{9}, \mathbf{0}, \mathbf{784}, \mathbf{0}, \mathbf{191}, \mathbf{0}, \mathbf{249}, \mathbf{1202} \} \end{array}$$


#### *Operations Management - Emerging Trend in the Digital Era*

**Table 1.** *Glass*

 *article forming -statistic*

 *file.* **4.5 BPLM process designer - implementation and operation**

*A reference table which deals with assignment of words to ratio value intervals.*

**IF Glass melt Glm\_ temp Glm\_ vis Glm\_ quant Glart**

*4.5.1 BPLM PD\_01 master files*

Extend of variation

*Source: The Authors.*

*Source: The Authors.*

*Source: The Authors.*

*Glass article forming rule table.*

**Table 3.**

**Table 4.**

**207**

*Glass article forming -statistic file values.*

*DOI: http://dx.doi.org/10.5772/intechopen.95350*

**Table 2.**

files, (b) BPLM PD\_02 Structure and (c) BPLM\_PD\_03 Functionality.

BPLM Process Designer is considered to be the second subsystem related to the BPLM System, while the first one is a subsystem denoted as BPLM Strategy Creator. The BPLM Process Designer consists of three components: (a) BPLM PD\_01 Master

**ident**

0,069 0,784 0,191 Vyr1 0,249 1202 **low high low low very high**

**Glartgood Glartrepair Glart\_waste**

**Average 1811,1 5,1 52,2 1081,1 49,9** Minimum 1760 2,5 47,6 900 20 Maximum 1885 6,5 57,6 1170 80

*Business Process Linguistic Modeling: Theory and Practice Part II: BPLM Business Process…*

Ratio set {Rs} 0,069 0,784 0,191 0,249 1202

**Ratio value Word** 0–0,3 low 0,4–0,7 middle 0,8 - 1,0 high 1,0 and more very high

125 4 10 270 60

However, the BPLM PD\_01 Master files component deals with master files needed for BP quantification and modeling as well, while those master files are concerned with production input materials, production output products (articles), production technological devices, production technological tools and production human resources. Each of the above-mentioned master files, which deal with production input materials, production output products, production technological devices and tools are represented by five subsets, which contain adequate types of parameters: (a) general parameters material, product, device or tool identifier, name, text description, drawing or image, (b) technical - height, volume, etc. (c) Operational - temperature, viscosity, quantity, etc. and (d) economic -e.g. different types of prices, and commercial ones, accessibility, vendor, reseller, etc. When

*Business Process Linguistic Modeling: Theory and Practice Part II: BPLM Business Process… DOI: http://dx.doi.org/10.5772/intechopen.95350*


#### **Table 2.**

*Glass article forming -statistic file values.*


#### **Table 3.**

*A reference table which deals with assignment of words to ratio value intervals.*


#### **Table 4.**

*Glass article forming rule table.*
