Abstract
This study investigates a project scheduling problem of prefabricated building (PB) construction in an uncertain environment. Different from the traditional scheduling models in PB construction, we consider a complex multi-stage cooperation system including the production, transportation and assembly (PTA) phases. In this system, both activity durations and resource amounts are stochastic variables. By applying the reliability theory to the stochastic scheduling model innovatively, we formulate a duration reliability model to maximize the probability of non-delayed project completion, within the resource constraints. As the proposed model is a non-deterministic polynomial hard (NP-hard) problem, a hybrid meta-heuristic differential evolution particle swarm optimization (DEPSO) algorithm is developed, which is utilized the mutation factor of the differential evolution (DE) algorithm in the framework of the particle swarm optimization (PSO). Finally, a real-life example of a PB construction project is used to explore the performance of the proposed DEPSO algorithm. The result shows that the hybrid algorithm DEPSO can better find the global optimal solution in the multi-dimensional optimization problem.
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Abbreviations
- i :
-
Index of activity in the production stage
- j :
-
Index of activity in PB construction
- k :
-
Index of the type of renewable resources
- m :
-
Index of activity in the transportation stage
- n :
-
Index of the possible path in AON
- r :
-
Index of the type of nonrenewable resources
- s :
-
Index of activity in the assembly stage
- A t :
-
Set of activities executing at time t
- P :
-
Set of all possible paths in AON
- Pre j :
-
Set of immediate precedence constraints of activity j
- a :
-
The relative coefficient of renewable resources and corresponding duration
- b :
-
Power index
- c :
-
The minimum invariable duration with resources increasing
- Ed j :
-
Experience duration of activity j from historical data
- F j :
-
Finish time of activity j
- N r :
-
Maximum available number of nonrenewable resources r
- t 0 :
-
Contract total duration of the PB project
- t A :
-
Contract duration of the project in the on-site assembly stage
- t P :
-
Contract duration of the project in the production stage
- t T :
-
Contract duration of the project in the transportation stage
- t j :
-
Contract duration of activity j
- t* :
-
The critical path in AON
- R k :
-
Maximum available number of renewable resources k
- S j :
-
Start time of activity j
- T :
-
The total completion duration of the project
- X j :
-
The stochastic duration of activity j affected by random factors
- Y j :
-
The stochastic duration of activity j
- r jk :
-
The available number of renewable resources k of activity j
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This work was supported by the National Natural Science Foundation of China (72201148).
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Wang, J., Liu, H. & Wang, Z. Stochastic Project Scheduling Optimization for Multi-stage Prefabricated Building Construction with Reliability Application. KSCE J Civ Eng 27, 2356–2371 (2023). https://doi.org/10.1007/s12205-023-2164-8
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DOI: https://doi.org/10.1007/s12205-023-2164-8