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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 = [61,71,95];
deliveryCost = [1708,2769,2850];
leadtime = [2,2];
cycles = [2,2];
setupCycles = [9,8];
capacity = [151,167,198,121,126,128,168,103,155,118,183,134];
demand = [
[54,14],
[82,85],
[29,103],
[40,80],
[70,114],
[66,103],
[91,71],
[33,108],
[46,25],
[104,75],
[115,99],
[15,41]
];
penaltyCost = [395,373];
openingProductInventory = [42,59];
openingComponentInventory = [77,14,42];
productHoldingCost = [16,5];
componentHoldingCost = [11,2,5];
setupCosts = [1600,500];

Agent: A2

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [61];
leadtime = [2];
cycles = [1];
setupCycles = [6];
capacity = [100,62,59,50,54,77,68,79,72,95,75,83];
openingProductInventory = [24];
openingComponentInventory = [34];
productHoldingCost = [11];
componentHoldingCost = [10];
setupCosts = [1100];
maxNumComponentOrders = [30];
componentBatchSize = [69];
deliveryCost = [2208];

Agent: A3

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [71];
leadtime = [2];
cycles = [1];
setupCycles = [6];
capacity = [87,54,57,64,54,53,100,77,77,85,97,72];
openingProductInventory = [88];
openingComponentInventory = [63];
productHoldingCost = [2];
componentHoldingCost = [4];
setupCosts = [200];
maxNumComponentOrders = [30];
componentBatchSize = [68];
deliveryCost = [2992];

Agent: A4

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [95];
leadtime = [0];
cycles = [1];
setupCycles = [6];
capacity = [68,98,67,62,68,61,56,61,90,71,84,78];
openingProductInventory = [20];
openingComponentInventory = [51];
productHoldingCost = [5];
componentHoldingCost = [4];
setupCosts = [500];
maxNumComponentOrders = [30];
componentBatchSize = [99];
deliveryCost = [4851];

Agent: A5

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [69];
leadtime = [2];
cycles = [1];
setupCycles = [7];
capacity = [89,63,83,97,52,64,56,82,94,93,78,72];
openingProductInventory = [85];
openingComponentInventory = [12];
productHoldingCost = [10];
componentHoldingCost = [9];
setupCosts = [1000];
componentArrivals = [
[85],
[97],
[86],
[91],
[100],
[76],
[77],
[96],
[91],
[75],
[98],
[76]
];

Agent: A6

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [68];
leadtime = [2];
cycles = [1];
setupCycles = [5];
capacity = [100,95,78,78,98,81,67,78,85,68,77,70];
openingProductInventory = [86];
openingComponentInventory = [49];
productHoldingCost = [4];
componentHoldingCost = [3];
setupCosts = [400];
componentArrivals = [
[59],
[56],
[64],
[64],
[91],
[90],
[74],
[53],
[51],
[63],
[98],
[88]
];

Agent: A7

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [99];
leadtime = [0];
cycles = [2];
setupCycles = [5];
capacity = [55,60,75,86,63,84,53,84,98,96,94,59];
openingProductInventory = [33];
openingComponentInventory = [47];
productHoldingCost = [4];
componentHoldingCost = [5];
setupCosts = [400];
componentArrivals = [
[39],
[27],
[28],
[44],
[49],
[41],
[32],
[43],
[50],
[39],
[27],
[30]
];