On the Quasi-Concavity of Equipment Sharing Games with Perishable Raw Materials  

作　　者：Jun Li Xiaoqiang Cai Yinlian Zeng Hairong Feng 

机构地区：[1]School of Economics and Management,Southwest Jiaotong University,Chengdu 610031,China [2]Shenzhen Research Institute of Big Data,Shenzhen 518172,China [3]School of Data Science,The Chinese University of Hong Kong,Shenzhen,Shenzhen 518172,China [4]School of Business,Southern University of Science and Technology,Shenzhen 518055,China [5]School of Business,Sichuan Normal University,Chengdu 610101,China

出　　处：《Journal of Systems Science and Systems Engineering》2021年第6期649-666,共18页系统科学与系统工程学报（英文版）

基　　金：This work has been supported in part by the National Natural Science Foundation of China(NSFC),under grant No.71671146;the Leading Talent Program of Guangdong Province under Grant No.2016LJ06D703;the Shenzhen Science and Technology Innovation Committee under Grant No.JCYJ20210324115604012;National Social Science Foundation of China under Grant No.19XGL015.

摘　　要：We study the equipment sharing problem where a group of food&beverage companies share the same equipment of a contractor and wish to have their processing tasks coordinated such that the total cost is minimized.The raw materials to be processed are perishable,which incur a decay cost as time goes.One key issue of this equipment sharing problem is how to allocate the total cost among the participants.We apply cooperative game theory to tackle this issue and formulate the problem as an equipment sharing game.First,we study the 1-equipment sharing game in which all participants share one equipment.We show that the 1-equipment sharing game is quasi-concave when the fixed operation cost is larger than a certain value.We then discuss the special case where the processing time for all participants is equal.For this case,we further investigate the properties of the 1-equipment sharing game and the multi-equipment sharing game.We identify the conditions under which the Shapely value and the T-value can be easily calculated for the 1-equipment and multi-equipment sharing games.

关 键 词：Equipment sharing quasi-concave games perishable raw materials decay loss 

分 类 号：TS203[轻工技术与工程—食品科学]