This research has the main goal to develop a computational simulation and optimization model at the same time it’ll be able to identify the best scenes to optimize the Human Specialists Resources (HSR) and it’ll be able to determine the best sequence to develop the projects that have HSR conflicts.

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September, 24-27, 2018 | Lima, Peru
HUMAN SPECIALISTS RESOURCES’ SIMULATION AND OPTIMIZATION
AND TASK SCHEDULING FROM CREATIVE ECONOMY EN
SIMULAÇÃO E OTIMIZAÇÃO DA ALOCAÇÃO DE RECURSOS HUMANOS
ESPECIALISTAS E SEQUENCIAMENTO DE TAREFAS NA ECONOMIA CRIATIVA PT
LIMA, PERU | SEPTEMBER, 2018
⁄ Ms. André Luis Marques Ferreira dos Santos
⁄ Ms. Student Jonathan Farias Bordignon
⁄ PhD. Fabio Henrique Pereira
AUTHORS
INDUSTRIAL ENGINEERING
PROGRAM

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September, 24-27, 2018 | Lima, Peru
SCHEDULE: SEPTEMBER, 26
The resources allocation and task
scheduling integration problem
[PROBLEM]
MAIN TOPICS
⁄ Job Shop Problem + Computational Simulation + Mathematical
Modeling
⁄ Creative Economy
METHODOLOGY & MATERIALS
⁄ Projects’ Optimization
GOALS
INTRODUCTION
⁄ the model found the suboptimal solution that it identifies the
scenes that return the least makespan.
RESULTS
⁄ Conclusion.
CONSIDERATIONS

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September, 24-27, 2018 | Lima, Peru
INTRODUCTION
[TECHNOLOGY]From in Australia in 2000s the Creative
Economy may be to define as an intensive
business set in knowledge, based on
intellectual capital, cultural and creativity
to be developed both economic and social
values by organizations and society
(SERRA; FERNANDEZ, 2014).
The business focused in human knowledge
have a mission to find solutions that allow
to improve RHE working days, already that
it’s success factors for this kind of business
(SERRA; FERNANDEZ, 2014).
[ARCHITECTURE]
[HANDICRAFT]
⁄
⁄
⁄

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September, 24-27, 2018 | Lima, Peru
GOALS
This research has the main goal to develop a computational simulation and
optimization model at the same time it’ll be able to identify the best scenes to
optimize the Human Specialists Resources (HSR) and it’ll be able to determine the
best sequence to develop the projects that have HSR conflicts.

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
Mathematical Formulation
to the Human Specialists’
Resources Allocation and
Task Scheduling Integration
Problem
𝒎𝒊𝒏𝒊𝒎𝒊𝒛𝒆 𝑪 𝒎𝒂𝒙 (2)
𝒔. 𝒂.
෍
𝒋=𝟏
𝒏
𝑿𝒊𝒋𝒌 = 𝟏
𝑖 = 1,2, … , 𝑛
𝑘 = 1,2, … , 𝑚
(3)
෍
𝒊=𝟏
𝒏
𝑿𝒊𝒋𝒌 = 𝟏
𝑗 = 1,2, … , 𝑛
𝑘 = 1,2, … , 𝑚
(4)
𝒉 𝟏𝒌 = 𝑰 𝟏𝒌 𝑘 = 1,2, … , 𝑚 (5)
𝒉𝒋𝒌 = ෍
𝒕=𝟏
𝒋
𝑰𝒕𝒌 + ෍
𝒕=𝟏
𝒋−𝟏
෍
𝒊=𝟏
𝒏
𝒑𝒊𝒌 𝑿𝒊𝒕𝒌
𝑗 = 2,3, … , 𝑛
𝑘 = 1,2, … , 𝑚
(6)
෍
𝒌=𝟏
𝒎
𝒓𝒊𝒍𝒌(𝒉𝒋𝒌 + 𝒑𝒊𝒌) ≤ ෍
𝒌=𝟏
𝒎
𝒓𝒊,𝒍+𝟏,𝒌 𝒉 𝒘𝒌 +
+𝑴(𝟏 − ෍
𝒌=𝟏
𝒎
𝒓𝒊𝒍𝒌 𝑿𝒊𝒋𝒌) + 𝑴(𝟏 − ෍
𝒌=𝟏
𝒎
𝒓𝒊,𝒍+𝟏,𝒌 𝑿𝒊𝒘𝒌)
𝑖, 𝑗, 𝑤 = 1,2, … , 𝑛;
𝑙 = 1,2,… , 𝑚 − 1
(7)
𝒉 𝒏𝒌 + ෍
𝒊=𝟏
𝒏
𝒑𝒊𝒌 𝑿𝒊𝒏𝒌 ≤ 𝑪 𝒎𝒂𝒙
𝑘 = 1,2, … , 𝑚 (8)
𝒉𝒋𝒌, 𝑰𝒋𝒌 ≥ 𝟎
𝑗 = 1,2, … , 𝑛
𝑘 = 1,2, … , 𝑚
(9)
𝑿𝒊𝒋𝒌 = 𝟎 𝒐𝒓 𝟏
𝑖 = 1,2, … , 𝑛
𝑗 = 1,2, … , 𝑛
𝑘 = 1,2, … , 𝑚
(10)

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
There are six important stage in this
model:
1. Problem survey;
2. Conceptual model;
3. Simulation model development;
4. Optimization model development;
5. Stage 3 and 4 coupling;
6. Validation model.

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
The resources allocation and task scheduling integration problem approached in this
research was considered as a Job Shop Problem where there is competition for the
same resources (PENHA et al., 2014).

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
Combinação 1 Combinação 2 Combinação 3 Combinação 4 Combinação 5 Combinação 6 Combinação 7 Combinação 8
Gerente Gerente Gerente Gerente Supervisor Coordenador Supervisor Coordenador
Estagiário Estagiário
Analistas
(Sr, Pl, Jr)
Analistas
(Sr, Pl, Jr)
Estagiário Estagiário
Analistas
(Sr, Pl, Jr)
Analistas
(Sr, Pl, Jr)
Analistas
(Sr, Pl, Jr)
Analistas
(Sr, Pl, Jr)
Supervisor Coordenador
Analistas
(Sr, Pl, Jr)
Analistas
(Sr, Pl, Jr)
Supervisor Coordenador
Combinações
24 possibilidades para alocar os RHE em cada projeto. Considerando os 20 projetos em
andamento, então são 20 elevado a 24 possibilidades para determinar o total de
sequenciamento possíveis.
2 , = 2 x , = 2 , =
2 , =
Picture. Allocations allow by project
2024
 [7 HSR]
 [20 projects]

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
Picture. Chromosome representation
[SCENES]
[20 projects]
[Tasks]
[92 priorities]

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
Picture. Flowchart from Simulation Model
 BLOCK 1 – START ALL
PROJECTS (ZERO
CONDITION)
 BLOCK 2 – STATION
(RESOURCES)
 BLOCK 3 – RECORD
(MODEL PERFORMANCE)

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September, 24-27, 2018 | Lima, Peru
METHODOLOGY & MATERIALS
Model Running:
Optimization Simulation
OptimizationSimulation

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September, 24-27, 2018 | Lima, Peru
RESULTS
Was observed that each one HSR has different probabilities distribution and it depends
from the allocation projects (picture 2).
Picture . Probabilities distribution observation by projects from HSR

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September, 24-27, 2018 | Lima, Peru
RESULTS
It’s possible to observer that the average of hours spent to realize each project from
tests with exactly three HSR is least than the tests that allocated four resources, this
last one spent 25% more time than the others (table).
≅ 25%
HSR
HSR

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September, 24-27, 2018 | Lima, Peru
RESULTS
it was possible to observe that the model developed got solve the problem proposed in
this research and with the model found the suboptimal solution that it identifies the
scenes that return the least makespan.
Legend:

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September, 24-27, 2018 | Lima, Peru
CONSIDERATIONS
 To the respective study the model got to solve the problem proposed.
 It was possible to identify idle points. Know the company is able to use these points
to allocate the HSR in other activities.
 This problem was considered as a Job Shop Scheduling and it was studied through
computational simulation and with heuristics algorithms was possible to get the
suboptimal solution.
 The main advantage in use this methodology instead exacts method is to allow
increase the variables and constraints quickly.

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September, 24-27, 2018 | Lima, Peru
REFERENCES
 https://bibliotecatede.uninove.br/bitstream/tede/1729/2/Andre%20Luis%20Marqu
es%20Ferreira%20dos%20Santos.pdf
UNINOVE LIBRARY:

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September, 24-27, 2018 | Lima, Peru
GRACIAS !
SIMULAÇÃO E OTIMIZAÇÃO DA ALOCAÇÃO DE RECURSOS HUMANOS
ESPECIALISTAS E SEQUENCIAMENTO DE TAREFAS NA ECONOMIA
CRIATIVA
ANDRÉ LUIS MARQUES FERREIRA DOS SANTOS
UNIVERSIDADE NOVE DE JULHO, PROGRAMA DE PÓS-GRADUAÇÃO EM ENGENHARIA DE PRODUÇÃO, SÃO PAULO, BRASIL
ANDRELMFSANTOS@GMAIL.COM
JONATHAN FARIAS BORDIGNON
UNIVERSIDADE NOVE DE JULHO, PROGRAMA DE PÓS-GRADUAÇÃO EM INFORMÁTICA E GESTÃO DO CONHECIMENTO, SÃO PAULO, BRASIL
JONATHANBORDIGNON@YAHOO.COM.BR
FABIO HENRIQUE PEREIRA
UNIVERSIDADE NOVE DE JULHO, PROGRAMAS DE PÓS-GRADUAÇÃO EM ENGENHARIA DE PRODUÇÃO E PROGRAMA DE PÓS-GRADUAÇÃO
EM INFORMÁTICA E GESTÃO DO CONHECIMENTO, SÃO PAULO, BRASIL
FABIOHP@UNI9.PRO.BR