In this paper, we concentrate on developing a bi-fuzzy multi objective transportation problem (MOSTP) according to bi-fuzzy expected value method (EVM). In a transportation model, the available discount is normally offered on items/criteria, etc., in the form all unit discount (AUD) or incremental quantity discount (IQD) or combination of these two. Here transportation model is considered with ...

In this paper, a discount model is proposed to coordinate pricing and ordering decisions in a two-echelon supply chain (SC). Demand is stochastic and price sensitive while lead times are fixed. Decentralized decision making where downstream decides on selling price and order size is investigated. Then, joint pricing and ordering decisions are extracted where both members act as a single entity ...

We study an integrated quantity discount and vehicle routing problem where truck utilization is increased by building multi-stop routes and increasing order sizes through a purchase incentive. We model the problem and prove it to be NP-hard. Our experiments show that commercial solvers do not effectively solve instances with more than ten buyers. We propose the use of non-compromising route eli...

Supplier selection and material procurement planning are the most important issues in supply chain management. This decision is complicated when the buyers face with discount price schemes. In real situation, each supplier may apply different methods such as different types of discount schedules and various types of payment in order to increase market share. In this situation, buyers try to sel...

‎This paper proposes a multi-supplier multi-product inventory model in which the suppliers have unlimited production capacity, allow delayed payment, and offer either an all-unit or incremental discount. The retailer can delay payment until after they have sold all the units of the purchased product. The retailer’s warehouse is limited, but the surplus can be stored in a rented warehouse at a...

‎this paper proposes a multi-supplier multi-product inventory model in which the suppliers have unlimited production capacity, allow delayed payment, and offer either an all-unit or incremental discount. the retailer can delay payment until after they have sold all the units of the purchased product. the retailer’s warehouse is limited, but the surplus can be stored in a rented warehouse at a...

Coordinating activities among members of a distribution channel has been a subject of great attention in the past two decades. Among various methods to coordinate independent channel members, a number of studies in the literature suggest quantity discount as a mechanism to achieve incentive-compatible coordination between a manufacturer and his retailer. The rationale behind this coordination m...

The perishable product’s dynamic pricing with quantity discount strategy is studied. The seller uses two-period dynamic price during the whole sale period and introduces quantity discount in second sale period in order to improve the seller’s profit. The mathematic model expressions are obtained by assuming that consumer’s reservation price draws from a uniform distribution and the price discou...