Management of technological process optimisation

Lypchuk, Vasyl; Dmytriv, Vasyl

doi:10.2478/emj-2020-0022

Figures & Tables

Workload of the operator of manual technological equipment

Workload of the operator of partially automated technological equipment

Workload of the operator of automated technological equipment

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

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

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

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

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 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 equipment	Operations	Distribution law	*Mathematical expectationM(T_P), M(T_F), S*	Mean square deviationS, dispersionΣ²
Manual, linear arrangement	t_p	f(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(t_p)=67.79±8.225	S(t_p) = 8.225σ² = 67.65
Manual, linear arrangement	t_f	f(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(t_f)=82.02±14.12	S(t_f) = 14.12σ² = 199.379
Partially automated, linear arrangement	t_p	f(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(t_p)=68.65±8.233	S(t_p) = 8.233σ² = 67.78
Partially automated, linear arrangement	t_f	f(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(t_f)=53.11±10.22	S(t_f)= 10.219σ² = 104.438
Partially automated, “tandem” arrangement	t_p	f(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(t_p)=36.84±4.431	S(t_p) = 4.431σ² = 19.634
Partially automated, “tandem” arrangement	t_f	f(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(t_f)=45.34±4.432	S(t_f) = 4.432σ² = 19.644
Automatic, “tandem” arrangement	t_p	f(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(t_p)=37.85±4.627	S(t_p) = 4.627σ² = 21.41
Automatic, “tandem” arrangement	t_f	f(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(t_f)=17.61±2.429	S(t_f) = 2.429σ² = 5.898
Automatic, “herringbone” arrangement	t_p	f(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(t_p)=38.29±8.926	S(t_p) = 2.987σ² = 8.926
Automatic, “herringbone” arrangement	t_f	f(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(t_f)=10.1±0.48	S(t_f) = 0.48σ² = 0.23
Automatic, “parallel” arrangement	t_p	f(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(t_p)=31.09±3.94	S(t_p) = 3.94σ² = 15.522
Automatic, “parallel” arrangement	t_f	f(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(t_f)=10.94±0.904	S(t_f)= 0,904σ² = 0.816

Management of technological process optimisation

Figures & Tables

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

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