Abstract
In this study, we aim to present a new model for the resource-constrained project scheduling problem (RCPSP) considering a working calendar for project members and determined the skill factor of any member using the efficiency concept. For this purpose, the recyclable resources are staff resources where any person with multiple skills can meet the required skills of activities in a given time. Then, considering uncertainty condition for parameters, it provided a fuzzy scheduling model and validated models by solving different examples. The proposed mathematical programming model optimizes the allocation of limited resources to project activities for scheduling purposes in an essential activity in the real condition of scheduling problems. Moreover, the proposed model can decrease the risk of deviation from scheduling by allocating members with higher skill factors to critical activities. Then, considering uncertainty condition for parameters, it provided a fuzzy scheduling model and validated models by solving different examples. Considering fuzzy conditions for the calendar of the project and multi-skill operators are firstly considered in this paper. Also, the recyclable resources are staff resources which are being considered for the model concurrently in response to the risks of availability to resources and delay in completing the project under uncertainty. The results derived from the model solved by CPLEX indicated a decreased need for employment and shortened project completion duration. Assuming the uncertainty of available resource capacity at any time, the results obtained from the fuzzy model for the value of objective function were evaluated under the influence of the resource calendar and showed the benefits. Effect of the multi-skill members with calendar constraints on the model is tested, and the advantages are determined.
Highlights
Introduction and literature reviewAccording to experience, resources are the main factor in any project
(30) Considering mean efficiency of skills required for project activities, i.e., the ratio of member m efficiency in skill k to mean expected efficiency of scheduling specialist and experts, a skill factor is defined for each member using relation (30)
We proposed a new mathematical model for the resource-constrained project scheduling problem in which the resources were not available in all times
Summary
Resources are the main factor in any project. In the event of the limited capacity of resources, scheduling problem converts to the resource-constrained project scheduling problem (RCPSP). Maghsoudlou et al (2017) investigated a version of the multiskilled resource-constrained project scheduling problem by a bi-objective optimization model to minimize total costs of processing and minimize reworking risks of activities. In a research by Kreter et al (2016), resources were extended by the concept of break calendars in order to incorporate the possible absence of renewable resources and can be regarded as a modern study on RCPSP where the problem was modeled only by binary variables and was solved by meta-heuristic algorithms. Allahverdi (2016) studied on no-wait process, and Cheng et al (2015) considered multi-mode resource-constrained project scheduling problem that only allowed non-preemptive activity splitting. The aim of this paper is to present a scheduling model with the aim of minimizing the completion duration
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