지연배송 보상비용을 고려한 빠른배송과 일반배송 서비스의 가격 및 보장된 배송시간 결정

Abstract

In this paper, we develop the profit maximization model for the different types of delivery services to select the best price and guaranteed delivery time with consideration of lateness penalties. Customer demand is sensitive to the price paid for service and guaranteed delivery time. Using a simple M/M/1 queuing model of a profit maximizing firm, we show concavities of model about two prices and one guaranteed delivery time respectively. According to the proposed algorithm using the concavities, we find out the optimized prices and delivery time. Through numerical examples, we examine the pricing and guaranteed delivery time for delivery services when the market is sensitive to price or guaranteed time.