A MODM Bi-level Model with Fuzzy Random Coefficients for Resource-Constrained Project Scheduling Problems

Abstract

The aim of this paper is to solve resourceconstrained projects scheduling problems (RCPSP) with complex hierarchical organization structure. A bi-level MODM model with fuzzy random coefficients is developed for RCPSP under hybrid uncertainty environment. In this model, construction contractor is considered as the upper level decision maker (ULDM) and outsourcing partner is the lower level decision maker (LLDM). The bi-level multiple objective particle swarm optimization algorithm (BL-MOPSO) is designed to obtain the optimal schedule. An illustrative example is given in order to show the effectiveness of the proposed model and algorithm.

An Interval Programming Based Approach for fully uncertain Resource-Constrained Project Scheduling Problem Considering Project Manager’s Attitude toward Risk

“…Then, a non-negative interval number ± = [ − , + ] can be expressed as ± = { | 0 < − ≤ ≤ + } or interval number can also be stated as ∓ = { − + ( + − − ) | 0 ≤ ≤ 1} by making use of an auxiliary variable z that can be used to transform interval-valued parameter into a crisp one [48]- [50]. (1) [44] Fuzzy random  ----Fuzzy-random simulation based PSO and GA Zhang [45] Fuzzy random   ---Bi-level multiple objective PSO algorithm Xu and Feng [46] Fuzzy random  - --Combinatorial-priority based hybrid PSO algorithm Nematian et al [40] Fuzzy random  -- -MIP based linear transformation Chen and Zhang [47] Fuzzy random…”

“…Gang et al [44] developed a hybrid solution approach which combines adaptive Particle Swarm Optimization (PSO), hybrid GA and fuzzy-random simulation algorithms for a multiproject RCPSP with fuzzy-random activity durations and resource costs. A bi-level multi-objective PSO algorithm was designed by Zhang [45] for a fuzzy-random RCPSP with a complex hierarchical organization structure of upper and lower level decision makers. In addition to the activity durations and resource availabilities, tardiness penalty costs of the activities were taken as fuzzy-random data.…”

The project scheduling problem with non-deterministic activities duration: A literature review

“…In this article, the project owner seeks to maximize profits whereas the contractor attempts to minimize cost. Finally, PSO was utilized by Zhang to solve the RCPSP with multiple objectives or multiple modes, where the contractor is the Upper Level Decision Maker and the outsourcing partner is the Lower Level Decision Maker (Zhang, 2014;Zhang, Liu, Zhou & Chen, 2015;Zhang & Xu, 2015).…”