A Systematic State of Art of Computational Aspects of the Duckworth-Lewis Stern Method in Games: Simpler Analysis with Further Directions of Improvements

The Duckworth–Lewis–Stern (DLS) method is a computational approach, used in limited-over Cricket to recalculate target scores when matches are interrupted, typically by weather conditions. The original Duckworth–Lewis model was introduced to fairly adjust the targets based on the remaining resources, overs, and wickets. Recognizing evolving playing styles, Steven Stern revised the method to better reflect modern scoring patterns, resulting in the current DLS model. This method relies on exponential functions to model the diminishing run-scoring potential as resources decrease. It uses historical data and statistical techniques, such as least squares error fitting, to build resource percentage curves, which help to determine fair targets after interruptions. In this survey, we highlight the mathematical prospects of this approach and its further limitations, which should instigate future research on improving the present model and the resource table. We have also taken a real life scenario from Cricket in order to explain this process. In addition we provide a comparison of this approach over the existed approaches done in this field of study. Different formats of the game, such as ODIs and T20s, use different resource tables for precision. Hence, proper modification of the resource table can lead to better prediction of the target score, which reflects the performance of the teams in the immediate past. The limitations of DLS method and the discussion of its modifications became essential to maintain fairness and competitiveness in interrupted matches, ensuring that both teams have equal chances based on their remaining resources.