Developing Fair Investment Plans to Enhance Supply Chain Visibility Using Cooperative Games
Abstract
:1. Introduction
2. Literature Review
3. Background of the Proposed Method
4. Model for Supply Chain Visibility Using the Collaborative Game Theoretical Model
4.1. Notations and Assumptions
4.2. Definition of Cost and Benefit and Allocation Rule
5. Illustrative Numerical Experiments
5.1. Design for the Experiment
5.2. Results and Discussion
5.3. Sensitivity Analysis
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Contribution | RFID System | SCVisibility | Sharing Cost | Sharing Profit | Optimization SC Visibility |
---|---|---|---|---|---|
Kang, Y [6] Kim, Y [8] Joung, S [11] Lee, S [12] | O | ||||
Fan, T. [9] Teucke [10] | O | ||||
Ustundag [7] | O | ||||
Kim, J [13] Melski, A [14] Xu, N [15] | O | ||||
This study | O | O | O | O | O |
Notations | Description |
---|---|
M | The set of visibility level, i ∈ M |
N | The set of participants of the supply chain, j ∈ N |
Xij | Decision variable which means the participant j install tags on the level i, Xij ∈ {0,1} |
Kij | Binary variable which means the participant j may receive the benefit when tag is installed on visibility level i |
CFij | Cost for operating and maintaining a RFID system |
CTij | Cost for installing RFID tags |
Cij | Total cost for installing and operating RFID systems |
BSij | Benefit shared when participant j installs tags on level i |
BTij | Benefit that only the participant j may have when installing RFID tags on level i |
Bij | Total benefit that the participant j may have when installing RFID tags on level i |
CSij | Cost when participant j installs RFID Tags on the visibility level i, which is shared by all participants |
SVij | Sharing ratio of surplus benefit the participants j may receive surplus benefit from information sharing at the visibility level i. Σj VSij = 1. |
fci | Characteristic function of participant i who installs RFID tag |
VFij | The value of forward information flow |
VBij | The value of backward information flow |
BCOij | Net benefit of participant j which is adjusted by SVij |
Level of Visibility | Manufacturer | Carrier | Buyer | |||
---|---|---|---|---|---|---|
Var. Cost | Benefit | Var. Cost | Benefit | Var. Cost | Benefit | |
Container | 700 | 1875 | 500 | 3750 | 700 | 12,500 |
Pallet | 336 | 5625 | 168 | 2500 | 336 | 25,000 |
Box | 120 | 5625 | 181 | 2500 | 181 | 25,000 |
Item | 2419 | 1875 | 3628 | 1250 | 2419 | 37,500 |
Property Name | Value |
---|---|
Natural selector | Original rate: 0.9 |
Crossover operator | Rate: 35% |
Mutation operator | Desired rate: 12 |
Stop condition | 200 executions |
Population size | 200 |
Algorithm: Optimization supply chain visibility using a cooperative game |
Input: Set-up cost, surplus benefit, Shapley values, evolution limit, parameters of GA |
create randomized initial chromosomes in the population pool |
Define fitness function for GA: Production of the B/C ratio for each participant |
Repeat |
1) Get parental chromosomes in the population pool |
2) Crossover chromosomes |
3) Mutate chromosomes |
4) Evaluate fitness-function value |
5) Replace survivor chromosomes in the population pool |
Until evolution limit |
Get the optimized chromosomes by repeated evolution limit |
Print: all parameters, fitness-function value, optimized chromosomes, |
B/C ratio of all participants |
Level of Visibility | Net Profit of Whole Supply Chain | B/C Ratio of Whole Supply Chain | B/C Ratio Considering Cost Sharing | B/C Ratio Considering Benefit Sharing |
---|---|---|---|---|
Container | Manufacturer | Carrier | Manufacturer | Buyer |
Pallet | Manufacturer | Carrier | Carrier | Carrier |
Box | Manufacturer | Carrier | Manufacturer | Manufacturer |
Item | Manufacturer | Manufacturer | Buyer | Manufacturer |
Manufacturer’s Shapley Value | Distributor’s Shapley Value | Retailer’s Shapley Value | Number of Repetitions |
---|---|---|---|
2 | 2 | 5 | 10 |
2 | 2 | 4 | 10 |
2 | 2 | 3 | 10 |
2 | 2 | 2 | 10 |
2 | 2 | 1 | 10 |
2 | 1 | 5 | 10 |
2 | 1 | 4 | 10 |
2 | 1 | 3 | 10 |
2 | 1 | 2 | 10 |
2 | 1 | 1 | 10 |
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Kim, C.; Shin, K. Developing Fair Investment Plans to Enhance Supply Chain Visibility Using Cooperative Games. Sustainability 2019, 11, 3209. https://doi.org/10.3390/su11113209
Kim C, Shin K. Developing Fair Investment Plans to Enhance Supply Chain Visibility Using Cooperative Games. Sustainability. 2019; 11(11):3209. https://doi.org/10.3390/su11113209
Chicago/Turabian StyleKim, Changhyun, and KwangSup Shin. 2019. "Developing Fair Investment Plans to Enhance Supply Chain Visibility Using Cooperative Games" Sustainability 11, no. 11: 3209. https://doi.org/10.3390/su11113209
APA StyleKim, C., & Shin, K. (2019). Developing Fair Investment Plans to Enhance Supply Chain Visibility Using Cooperative Games. Sustainability, 11(11), 3209. https://doi.org/10.3390/su11113209