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Note on instance description

This instance is based on a supply chain topology referred to as the ‘W’ system, which is composed of 2 final products produced from 3 components. Each product is assembled from a common and a unique component. This system has the characteristics of pure distribution (common component is used in both products) and pure assembly structure. W system is well-known in the assemble-to-order inventory literature.

The instance description consists of two parts:

1. Topology: the supply chain network topology consists of (i) a list of agents; (ii) a list of products that each agent produces (agent-name=product-name(s)); and (iii) a bill of materials specifying what products are used in building other products (product-name=component-name(s)).
2. Local problems: the private data describing each agent’s local problem - this is in the form of an OPL data file and is for use in conjunction with the OPL models provided in this benchmark description.

Topology

Agents: A1,A2,A3,A4,A5,A6,A7

Products: 
A1=P0,P1
A2=P2
A3=P3
A4=P4
A5=P5
A6=P6
A7=P7

BOM:
P0=P2,P3
P1=P3,P4
P2=P5
P3=P6
P4=P7

Agent: A1

numPeriods = 12;
numProducts = 2;
numComponents = 3;
maxNumComponentOrders = [30,30,30];
bom = [
[1,1,0],
[0,1,1]
];
componentBatchSize = [77,53,91];
deliveryCost = [2387,2332,4459];
leadtime = [0,2];
cycles = [2,1];
setupCycles = [7,10];
capacity = [133,113,136,187,119,186,189,125,128,198,155,186];
demand = [
[31,25],
[61,22],
[74,10],
[34,18],
[79,117],
[70,34],
[58,90],
[73,12],
[36,19],
[109,75],
[20,71],
[106,120]
];
penaltyCost = [424,359];
openingProductInventory = [97,77];
openingComponentInventory = [82,98,88];
productHoldingCost = [19,30];
componentHoldingCost = [14,1,26];
setupCosts = [1900,3000];

Agent: A2

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [77];
leadtime = [0];
cycles = [2];
setupCycles = [8];
capacity = [69,97,99,75,67,58,75,100,90,87,84,78];
openingProductInventory = [53];
openingComponentInventory = [60];
productHoldingCost = [14];
componentHoldingCost = [10];
setupCosts = [1400];
maxNumComponentOrders = [30];
componentBatchSize = [91];
deliveryCost = [3458];

Agent: A4

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [91];
leadtime = [1];
cycles = [2];
setupCycles = [9];
capacity = [83,57,88,72,64,55,85,99,50,80,75,53];
openingProductInventory = [40];
openingComponentInventory = [64];
productHoldingCost = [26];
componentHoldingCost = [23];
setupCosts = [2600];
maxNumComponentOrders = [30];
componentBatchSize = [89];
deliveryCost = [2759];

Agent: A5

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [91];
leadtime = [0];
cycles = [2];
setupCycles = [6];
capacity = [76,66,99,54,62,86,97,84,65,92,76,56];
openingProductInventory = [94];
openingComponentInventory = [59];
productHoldingCost = [10];
componentHoldingCost = [10];
setupCosts = [1000];
componentArrivals = [
[39],
[32],
[30],
[48],
[49],
[39],
[39],
[50],
[49],
[46],
[27],
[28]
];

Agent: A6

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [93];
leadtime = [0];
cycles = [2];
setupCycles = [9];
capacity = [72,66,76,55,98,52,80,68,51,54,92,55];
openingProductInventory = [80];
openingComponentInventory = [28];
productHoldingCost = [1];
componentHoldingCost = [4];
setupCosts = [100];
componentArrivals = [
[33],
[35],
[47],
[31],
[41],
[38],
[32],
[29],
[43],
[32],
[39],
[26]
];

Agent: A7

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [89];
leadtime = [0];
cycles = [1];
setupCycles = [5];
capacity = [82,75,70,71,82,53,51,60,65,75,86,64];
openingProductInventory = [47];
openingComponentInventory = [58];
productHoldingCost = [23];
componentHoldingCost = [21];
setupCosts = [2300];
componentArrivals = [
[91],
[50],
[56],
[59],
[61],
[83],
[97],
[85],
[64],
[88],
[68],
[58]
];