The Photovoltaic (PV) module subjected to partial shading exhibits multiple peaks in the power-voltage characteristics leading to mismatch losses. This loss is a function of module interconnection, shading area and shading pattern. The hybrid configuration has found to be superior to improve the performance of the PV array during partial shading conditions. This work aims to minimize the mismatch loss by using an optimized jigsaw puzzle based reconfiguration technique. The physical position of the modules is rearranged based on the jigsaw puzzle pattern without altering the electrical connections. The performance of the proposed jigsaw puzzle pattern is configured on different interconnection schemes like total-cross-tied, series-parallel total-cross-tied, bridge-link total-cross-tied and honey comb total-cross-tied. For the different shading patterns, the performance of the proposed reconfiguration technique is compared with the existing puzzle based reconfiguration technique schemes such as ken-ken, skyscraper, odd-even and latin square in terms of global maximum power point, power loss, mismatch loss, fill factor, execution ratio and performance enhancement ratio. To validate the results, the performance of the proposed reconfiguration technique is tested in MATLAB/Simulink environment and experiment setup for a 4x4 PV array. The proposed jigsaw puzzle based reconfiguration technique mitigates the occurrence of multiple local power point on the power-voltage characteristics. Hence, the simulation results show the proposed jigsaw based reconfiguration technique improves the output power by 14.01% compared to the existing reconfiguration technique under partial shaded conditions. The effectiveness of the jigsaw puzzle arrangement is also validated experimentally and the results are presented in this paper.