In jointed concrete pavements, thermal expansion of slabs gradually accumulates under prolonged and repeated high-temperature conditions, leading to an increase in compressive stress. When this compressive stress exceeds a critical level, a blow-up may occur. Because blow-up occurs very suddenly and involves large deformation, it can seriously affect driving safety. Stress relief joint installation and contraction joint cleaning are widely recognized as representative measures for preventing blow-up in in-service concrete pavements. Stress relief joints are intended to reduce the compressive stress generated at a given time by providing expansion space within the pavement when the slabs become integrated and restrained under high-temperature conditions. In contrast, contraction joint cleaning delays slab integration even under higher temperature conditions by removing debris and incompressible materials within the joints, which significantly influence slab expansion behavior, thereby securing additional expansion space. However, there has not yet been sufficient analysis on how much these methods can quantitatively delay the occurrence of blow-up. Therefore, this study applied the PGBA (Pavement Growth and Blow-up Analysis) model to analyze the effects of stress relief joint installation and contraction joint cleaning on the accumulation behavior of compressive stress and the timing of blow-up occurrence in jointed concrete pavements. In particular, the effects of ΔT, defined as the difference between Tmax (maximum internal concrete temperature) and TTPG (Trigger Temperature for Pavement Growth), as well as ASR (Alkali–Silica Reaction), were considered. Here, TTPG refers to the temperature at which all contraction joints within the expansion length are fully closed and the slabs become integrated. The results showed that TTPG gradually decreased as service life increased, and accordingly, ΔT increased, resulting in the continuous accumulation of compressive stress within the slabs. These findings suggest that the risk of blow-up may increase with pavement age and that it is necessary to quantitatively evaluate the timing and effectiveness of preventive measures.