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Management of technological process optimisation

Vasyl Lypchuk
Vasyl Lypchuk
 und 
Vasyl Dmytriv
Vasyl Dmytriv
   | 15. Okt. 2020
Engineering Management in Production and Services's Cover Image
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Online veröffentlicht: 15. Okt. 2020
Seitenbereich: 103 - 115
Eingereicht: 05. Jan. 2020
Akzeptiert: 30. Juni 2020
DOI: https://doi.org/10.2478/emj-2020-0022
Schlüsselwörter
© 2020 Vasyl Lypchuk et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fig. 1

Cycle scheme of computer technology
Cycle scheme of computer technology

Fig. 2

Workload of the operator of manual technological equipment
Workload of the operator of manual technological equipment

Fig. 3

Workload of the operator of partially automated technological equipment
Workload of the operator of partially automated technological equipment

Fig. 4

Workload of the operator of automated technological equipment
Workload of the operator of automated technological equipment

Fig. 5

Dependence of the amount of technological equipment nam.ed serviced by one operator on the duration tm of the operation performed immediately on the equipment and without the operator's participation and the correlation of final and preparatory operations tf/tp
Dependence of the amount of technological equipment nam.ed serviced by one operator on the duration tm of the operation performed immediately on the equipment and without the operator's participation and the correlation of final and preparatory operations tf/tp

Fig. 6

Diagram of projections for the response surface of a dependence of the amount of equipment nam.ed serviced by one operator on the performance duration tm of the operation immediately on the equipment and without the operator's participation and the correlation of final and preparatory operations tf/tp
Diagram of projections for the response surface of a dependence of the amount of equipment nam.ed serviced by one operator on the performance duration tm of the operation immediately on the equipment and without the operator's participation and the correlation of final and preparatory operations tf/tp

Fig. 7

Dependence of the amount of technological equipment nam.ed serviced by one operator on the duration tm on of the operation performed immediately on the equipment and without the operator's participation, and on the type of equipment
Dependence of the amount of technological equipment nam.ed serviced by one operator on the duration tm on of the operation performed immediately on the equipment and without the operator's participation, and on the type of equipment

Fig. 8

Interval in the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator
Interval in the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator

Fig. 9

Interval in the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator
Interval in the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator

Fig. 10

Dependence of the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator, and the correlation tf/tp, under: tf →min, tp→min
Dependence of the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator, and the correlation tf/tp, under: tf →min, tp→min

Fig. 11

Dependence of the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator, and the correlation tf/tp, under: tf →max, tp→max
Dependence of the duration of a production line operation to perform the program for 100 products during the time tm of the operation performed immediately on the equipment and without the participation of the operator, and the correlation tf/tp, under: tf →max, tp→max

Fig. 12

Dependence of the efficiency of technological equipment on the duration tm of the operation performed immediately on the equipment and without the participation of the operator, and on the correlation tf/tp, under: tf→min, tp→min
Dependence of the efficiency of technological equipment on the duration tm of the operation performed immediately on the equipment and without the participation of the operator, and on the correlation tf/tp, under: tf→min, tp→min

Characteristics pertaining to the distribution of the duration of preparatory and final operations performed by computer technology

Type of technological equipmentOperationsDistribution lawMathematical expectationM(TP), M(TF), SMean square deviationS, dispersionΣ2
Manual, linear arrangementtpf(tp)=18,225⋅2⋅π.e−(tp−67,79)22⋅67,65f\left( {{t_p}} \right) = {1 \over {8,225 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_p} - 67,79} \right)}^2}} \over {2 \cdot 67,65}}}}M(tp)=67.79±8.225S(tp) = 8.225σ2 = 67.65
tff(tf)=114,12⋅2⋅π.e−(tf−82,02)22⋅199,38f\left( {{t_f}} \right) = {1 \over {14,12 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 82,02} \right)}^2}} \over {2 \cdot 199,38}}}}M(tf)=82.02±14.12S(tf) = 14.12σ2 = 199.379
Partially automated, linear arrangementtpf(tp)=18,233⋅2⋅π.e−(tp−68,65)22⋅67,78f\left( {{t_p}} \right) = {1 \over {8,233 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_p} - 68,65} \right)}^2}} \over {2 \cdot 67,78}}}}M(tp)=68.65±8.233S(tp) = 8.233σ2 = 67.78
tff(tf)=110,22⋅2⋅π.e−(tf−53,11)22⋅104,44f\left( {{t_f}} \right) = {1 \over {10,22 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 53,11} \right)}^2}} \over {2 \cdot 104,44}}}}M(tf)=53.11±10.22S(tf)= 10.219σ2 = 104.438
Partially automated, “tandem” arrangementtpf(tp)=14,431⋅2⋅π.e−(tp−36,84)22⋅19,634f\left( {{t_p}} \right) = {1 \over {4,431 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_p} - 36,84} \right)}^2}} \over {2 \cdot 19,634}}}}M(tp)=36.84±4.431S(tp) = 4.431σ2 = 19.634
tff(tf)=14,432⋅2⋅π.e−(tf−45,34)22⋅19,64f\left( {{t_f}} \right) = {1 \over {4,432 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 45,34} \right)}^2}} \over {2 \cdot 19,64}}}}M(tf)=45.34±4.432S(tf) = 4.432σ2 = 19.644
Automatic, “tandem” arrangementtpf(tp)=14,627⋅2⋅π.e−(tp−37,85)22⋅21,41f\left( {{t_p}} \right) = {1 \over {4,627 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_p} - 37,85} \right)}^2}} \over {2 \cdot 21,41}}}}M(tp)=37.85±4.627S(tp) = 4.627σ2 = 21.41
tff(tf)=12,43⋅2⋅π.e−(tf−17,61)22⋅5,898f\left( {{t_f}} \right) = {1 \over {2,43 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 17,61} \right)}^2}} \over {2 \cdot 5,898}}}}M(tf)=17.61±2.429S(tf) = 2.429σ2 = 5.898
Automatic, “herringbone” arrangementtpf(tp)=12,99⋅2⋅π.e−(tf−38,29)22⋅8,926f\left( {{t_p}} \right) = {1 \over {2,99 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 38,29} \right)}^2}} \over {2 \cdot 8,926}}}}M(tp)=38.29±8.926S(tp) = 2.987σ2 = 8.926
tff(tf)=10,48⋅2⋅π.e−(tf−10,1)22⋅0,23f\left( {{t_f}} \right) = {1 \over {0,48 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 10,1} \right)}^2}} \over {2 \cdot 0,23}}}}M(tf)=10.1±0.48S(tf) = 0.48σ2 = 0.23
Automatic, “parallel” arrangementtpf(tp)=13,94⋅2⋅π.e−(tp−31,09)22⋅15,522f\left( {{t_p}} \right) = {1 \over {3,94 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_p} - 31,09} \right)}^2}} \over {2 \cdot 15,522}}}}M(tp)=31.09±3.94S(tp) = 3.94σ2 = 15.522
tff(tf)=10,904⋅2⋅π.e−(tf−10,94)22⋅0,816f\left( {{t_f}} \right) = {1 \over {0,904 \cdot \sqrt {2 \cdot \pi} }}.{{\rm{e}}^{ - {{{{\left( {{t_f} - 10,94} \right)}^2}} \over {2 \cdot 0,816}}}}M(tf)=10.94±0.904S(tf)= 0,904σ2 = 0.816
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