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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,A8,A9,A10

Products: 
A1=P0,P1
A2=P2
A3=P3
A4=P4
A5=P5
A6=P6
A7=P7
A8=P8
A9=P9
A10=P10

BOM:
P0=P2,P3
P1=P3,P4
P2=P5,P8
P3=P6,P9
P4=P7,P10

Agent: A1

numPeriods = 12;
numProducts = 2;
numComponents = 3;
maxNumComponentOrders = [30,30,30];
bom = [
[1,1,0],
[0,1,1]
];
componentBatchSize = [97,98,71];
deliveryCost = [3298,4116,3124];
leadtime = [2,2];
cycles = [1,2];
setupCycles = [10,9];
capacity = [160,115,109,178,149,170,195,154,170,136,158,194];
demand = [
[92,13],
[95,48],
[55,53],
[47,84],
[101,58],
[31,104],
[117,113],
[14,18],
[12,89],
[59,19],
[102,85],
[97,15]
];
penaltyCost = [453,419];
openingProductInventory = [78,10];
openingComponentInventory = [8,45,15];
productHoldingCost = [49,65];
componentHoldingCost = [20,34,33];
setupCosts = [4900,6500];

Agent: A2

numPeriods = 12;
numProducts = 1;
numComponents = 2;
maxNumProductOrders = [30];
bom = [
[1,1]
];
productBatchSize = [97];
leadtime = [2];
cycles = [2];
setupCycles = [7];
capacity = [92,54,97,79,77,58,99,56,51,83,98,65];
openingProductInventory = [4];
openingComponentInventory = [51,59];
productHoldingCost = [20];
componentHoldingCost = [19,1];
setupCosts = [2000];
maxNumComponentOrders = [30,30];
componentBatchSize = [90,95];
deliveryCost = [2790,2565];

Agent: A3

numPeriods = 12;
numProducts = 1;
numComponents = 2;
maxNumProductOrders = [30];
bom = [
[1,1]
];
productBatchSize = [98];
leadtime = [0];
cycles = [1];
setupCycles = [9];
capacity = [62,50,71,72,59,87,88,50,68,65,90,90];
openingProductInventory = [40];
openingComponentInventory = [44,87];
productHoldingCost = [34];
componentHoldingCost = [14,23];
setupCosts = [3400];
maxNumComponentOrders = [30,30];
componentBatchSize = [52,84];
deliveryCost = [1508,3276];

Agent: A4

numPeriods = 12;
numProducts = 1;
numComponents = 2;
maxNumProductOrders = [30];
bom = [
[1,1]
];
productBatchSize = [71];
leadtime = [2];
cycles = [1];
setupCycles = [9];
capacity = [61,63,51,85,65,64,97,91,86,94,51,91];
openingProductInventory = [92];
openingComponentInventory = [85,34];
productHoldingCost = [33];
componentHoldingCost = [15,23];
setupCosts = [3300];
maxNumComponentOrders = [30,30];
componentBatchSize = [88,50];
deliveryCost = [3960,2300];

Agent: A5

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [90];
leadtime = [1];
cycles = [1];
setupCycles = [10];
capacity = [61,85,92,66,56,85,58,58,93,85,70,67];
openingProductInventory = [53];
openingComponentInventory = [39];
productHoldingCost = [19];
componentHoldingCost = [21];
setupCosts = [1900];
componentArrivals = [
[56],
[51],
[87],
[99],
[92],
[64],
[53],
[64],
[86],
[95],
[50],
[100]
];

Agent: A6

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [52];
leadtime = [1];
cycles = [1];
setupCycles = [10];
capacity = [51,84,76,77,67,89,75,50,76,98,67,79];
openingProductInventory = [43];
openingComponentInventory = [55];
productHoldingCost = [14];
componentHoldingCost = [18];
setupCosts = [1400];
componentArrivals = [
[62],
[98],
[78],
[65],
[71],
[91],
[98],
[100],
[92],
[60],
[97],
[54]
];

Agent: A7

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [88];
leadtime = [0];
cycles = [2];
setupCycles = [7];
capacity = [52,53,86,85,100,84,67,61,73,75,97,66];
openingProductInventory = [15];
openingComponentInventory = [95];
productHoldingCost = [15];
componentHoldingCost = [16];
setupCosts = [1500];
componentArrivals = [
[50],
[30],
[47],
[36],
[36],
[25],
[34],
[40],
[43],
[42],
[40],
[28]
];

Agent: A8

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [95];
leadtime = [2];
cycles = [1];
setupCycles = [6];
capacity = [66,99,89,95,71,59,86,50,80,60,88,57];
openingProductInventory = [77];
openingComponentInventory = [71];
productHoldingCost = [1];
componentHoldingCost = [4];
setupCosts = [100];
componentArrivals = [
[94],
[76],
[78],
[61],
[55],
[61],
[97],
[86],
[56],
[70],
[91],
[72]
];

Agent: A9

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [84];
leadtime = [1];
cycles = [2];
setupCycles = [9];
capacity = [69,50,53,62,75,53,67,66,79,87,69,58];
openingProductInventory = [52];
openingComponentInventory = [11];
productHoldingCost = [23];
componentHoldingCost = [23];
setupCosts = [2300];
componentArrivals = [
[26],
[33],
[45],
[40],
[49],
[48],
[36],
[48],
[44],
[33],
[27],
[48]
];

Agent: A10

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [50];
leadtime = [2];
cycles = [1];
setupCycles = [6];
capacity = [96,52,65,99,53,90,88,71,52,57,64,58];
openingProductInventory = [1];
openingComponentInventory = [15];
productHoldingCost = [23];
componentHoldingCost = [19];
setupCosts = [2300];
componentArrivals = [
[58],
[88],
[60],
[95],
[60],
[96],
[96],
[86],
[87],
[78],
[52],
[68]
];