Integer Economic Order Quantity Computation Using Vedic Dwandwa Yoga Square Root Method: A Practical Implementation for Resource Constrained System

4 Jun

Authors: Smt.P. Anuradha, Assistant Professor , Pakalapati Srilatha

Abstract: The classic Economic Order Quantity (EOQ) formula EOQ = √(2DS⁄H) requires square root extraction. The previously proposed Vilokanam Sutra method works only for perfect squares, yet real-world EOQ values are almost never integers. This paper presents a 100% new, implementable, and accurate integer-only EOQ computation using the Dwandwa Yoga (Duplex Combination) Sutra from Vedic Mathematics – a general square root algorithm that works for any non perfect square. Our method returns the floor integer EOQ (which minimizes total cost) without floating point operations, making it suitable for embedded systems with no FPU. Experimental validation shows identical economic decisions as conventional methods, with deterministic runtime of O(log n) and no iterative approximation overhead.

DOI: https://doi.org/10.5281/zenodo.20622024