Article: Commission production contracts with revenue sharing for a capacitated manufacturer and multiple retailers Journal: European Journal of Industrial Engineering (EJIE) 2020 Vol.14 No.4 pp.517 - 543 Abstract: In this paper, we consider a manufacturer with limited production capacity producing multiple kinds of independent products, such that each kind of product is sold by a distinct retailer who is offered a commission production contract with revenue sharing by the manufacturer. We study the contract in the centralised and decentralised systems respectively. Under certain conditions of price elasticities and cost fractions, we show the uniqueness of optimal revenue share for all products. Moreover, by comparing both systems with same capacity constraint, we find that at least one retailer's price in the centralised system is higher than that of the decentralised system, and the order quantity for that retailer is lower under some conditions. As a consequence, the decentralised system's profit is always higher than the centralised system's profit under that condition. Also, the retailers' optimal prices (resp. order quantities) are increasing (resp. decreasing) in production capacity of the manufacturer, whereas the manufacturer's expected profit is increasing in its production capacity in both systems. Finally, we conduct numerical study to justify our theoretical results, and examine the effect of processing cost on both systems' profits, and the effect of demand uncertainty on the optimal prices and order quantities. [Received 22 May 2018; Accepted 28 October 2019] Inderscience Publishers - linking academia, business and industry through research

Title: Commission production contracts with revenue sharing for a capacitated manufacturer and multiple retailers

Authors: Xiyang Hou; Yongjiang Guo; Ping Cao

Addresses: School of Science, Beijing University of Posts and Telecommunications, China ' School of Science, Beijing University of Posts and Telecommunications, China ' School of Management, University of Science and Technology of China, China

Abstract: In this paper, we consider a manufacturer with limited production capacity producing multiple kinds of independent products, such that each kind of product is sold by a distinct retailer who is offered a commission production contract with revenue sharing by the manufacturer. We study the contract in the centralised and decentralised systems respectively. Under certain conditions of price elasticities and cost fractions, we show the uniqueness of optimal revenue share for all products. Moreover, by comparing both systems with same capacity constraint, we find that at least one retailer's price in the centralised system is higher than that of the decentralised system, and the order quantity for that retailer is lower under some conditions. As a consequence, the decentralised system's profit is always higher than the centralised system's profit under that condition. Also, the retailers' optimal prices (resp. order quantities) are increasing (resp. decreasing) in production capacity of the manufacturer, whereas the manufacturer's expected profit is increasing in its production capacity in both systems. Finally, we conduct numerical study to justify our theoretical results, and examine the effect of processing cost on both systems' profits, and the effect of demand uncertainty on the optimal prices and order quantities. [Received 22 May 2018; Accepted 28 October 2019]

Keywords: production capacity; order quantity; retail price; revenue sharing contract.

DOI: 10.1504/EJIE.2020.108603

European Journal of Industrial Engineering, 2020 Vol.14 No.4, pp.517 - 543

Accepted: 28 Oct 2019
Published online: 20 Jul 2020 *

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Title: Commission production contracts with revenue sharing for a capacitated manufacturer and multiple retailers

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