Viresh Jivane

Research, explained

Clearance
pricing.

Explore how a deadline and price-change costs shape a markdown schedule, using a synthetic inventory model.

Illustrative model · assumed demand100 units · $100 starting price
Follow the stock

100 units. What changes each week?

Price$100
Assumed demand8 / week
Stock left100
Markdown schedule100 left
Keep $100 price100 left
$0 sales−$0 price changes=$0 after those costs
2 weeks12 weeks
$0$500

Sell as much stock as possible by the deadline. Then maximize revenue after price-change costs.

Inventory remaining

Markdown scheduleKeep the price at $100
Inventory remaining over the clearance period0255075100Units0246Weeks

Price schedule

Weekly price per unit
W1$8011 sold
W2$6018 sold
W3$6018 sold
W4$6018 sold
W5$6018 sold
W6$6017 sold
Units remaining052 at the original price
After price-change costs$6,160$6,220 sales − $60 costs
Price changes2$60 total relabeling cost
How this model works

This teaching model uses synthetic data and exact dynamic programming. The data and price schedules are illustrative, separate from Walmart’s production system. The published work combines deep reinforcement learning, simulation, and optimization.

Clearing stock takes priority over money in this model. With two weeks left, even the lowest price leaves stock unsold. Revenue after price-change costs excludes product and other operating costs.

Weekly demand is rounded from 8 × (100 ÷ price)1.6. Prices can stay the same or decrease through $100, $80, $60, and $40. Sales cannot exceed remaining inventory. Each change, including the first drop from $100, incurs the selected cost while stock remains. The model omits demand uncertainty, competition, replenishment, and differences between stores.

Inspired by the multiobjective clearance problem in the paper coauthored by Viresh Jivane and the Walmart team. The goals are to clear inventory by a deadline, preserve revenue, and limit relabeling cost.

Read the published paper

Published research · INFORMS Journal on Applied Analytics

A Multiobjective Optimization for Clearance in Walmart Brick-and-Mortar Stores

Coauthored by Viresh Jivane with the Walmart team. Published in 2021.

Read the paper