Abstract

<span lang="EN-US">In the present article, a multi-objective mathematical model for scheduling multi-skilled multi-objective workforce has been proposed with the aims of minimizing the number of night-shift engineers, minimizing the total cost of workforce and maximizing the number of engaged workforce. To solve the proposed model for scheduling workforce, bee colony optimization algorithm and DE algorithm have been employed, and in order to investigate the efficiency of these two algorithms, the results have been compared with each other in terms of quality, dispersion and uniformity factors. In order to solve the model three sample problems (40, 70 and 280 workforce) were designed and then solved by the two mentioned algorithms. Bee algorithm is able to find higher-quality answers. Also the results of the comparison of dispersion and uniformity index indicate that bee colony algorithm is able to find answers with more dispersion and more homogeneous than DE algorithm. The comparison of solution time of both algorithms indicate that bee colony algorithm is faster than DE algorithm and needs less time to reach quality, dispersed and homogenous answers.</span>

Highlights

  • In all organizations, service centers, and production centers, the issue of assignment of skilled workforce has been extensively regarded as limited resources to activities

  • Since mathematical model presented for model is for solving the multi-skill workforce scheduling problem and due to change in the nature of the defined problem, the use of sample problems in the area of workforce scheduling does not help to compare and evaluate the performance of algorithms

  • A new mathematical model is presented for multi-objective workforce scheduling problem

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Summary

Introduction

Service centers, and production centers, the issue of assignment of skilled workforce has been extensively regarded as limited resources to activities. Workforces planning as a means to ensure the provision of workforces required in order to the organization's goals and its mathematical modeling is important for planners. This study provided a mathematical model for skilled workforce scheduling In this case, employees were categorized based on their expertise and skill where workers at higher skill levels have the ability to work in lower skill levels. Employees were categorized based on their expertise and skill where workers at higher skill levels have the ability to work in lower skill levels The purpose of this scheduling is optimum assignment of employees to shifts in order to achieve the minimum costs and maximum use of resources in order to meet the objectives of employees and achieve the maximum satisfaction of employees. To solve the proposed model to schedule workforce, bee colony optimization algorithm was used, and in order to investigate the efficiency of this algorithm, its results were compared with results obtained from DE algorithm

Literature Review
Mathematical Modeling
Maximizing the number of workforce employed
The Structure of Proposed DE Algorithm
The Construction Manner of Initial Solutions
The Mutation Operator
Intersection Operator
Repair Operator
Updating Pareto Archive
Selection of Population for the Next Iteration
The Proposed Structure of the Bee Colony Algorithm
Calculation of Fitness Function
Computational Results
Characteristics of Sample Problems
Comparative Indices
Conclusion
Full Text
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