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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 = [50,60,70];
deliveryCost = [1300,2460,1540];
leadtime = [0,2];
cycles = [2,2];
setupCycles = [8,7];
capacity = [198,139,145,166,171,108,155,120,174,156,141,130];
demand = [
[97,28],
[72,106],
[92,71],
[90,22],
[17,59],
[20,59],
[78,94],
[42,50],
[13,42],
[52,84],
[113,113],
[52,109]
];
penaltyCost = [463,472];
openingProductInventory = [80,21];
openingComponentInventory = [37,40,83];
productHoldingCost = [90,71];
componentHoldingCost = [45,49,22];
setupCosts = [9000,7100];

Agent: A2

numPeriods = 12;
numProducts = 1;
numComponents = 2;
maxNumProductOrders = [30];
bom = [
[1,1]
];
productBatchSize = [50];
leadtime = [0];
cycles = [2];
setupCycles = [9];
capacity = [60,87,61,53,69,67,86,79,69,52,77,93];
openingProductInventory = [71];
openingComponentInventory = [79,11];
productHoldingCost = [45];
componentHoldingCost = [20,26];
setupCosts = [4500];
maxNumComponentOrders = [30,30];
componentBatchSize = [93,84];
deliveryCost = [4464,2940];

Agent: A3

numPeriods = 12;
numProducts = 1;
numComponents = 2;
maxNumProductOrders = [30];
bom = [
[1,1]
];
productBatchSize = [60];
leadtime = [1];
cycles = [1];
setupCycles = [5];
capacity = [58,85,50,75,84,65,72,59,64,61,99,62];
openingProductInventory = [81];
openingComponentInventory = [84,89];
productHoldingCost = [49];
componentHoldingCost = [26,23];
setupCosts = [4900];
maxNumComponentOrders = [30,30];
componentBatchSize = [54,100];
deliveryCost = [2106,2300];

Agent: A4

numPeriods = 12;
numProducts = 1;
numComponents = 2;
maxNumProductOrders = [30];
bom = [
[1,1]
];
productBatchSize = [70];
leadtime = [1];
cycles = [2];
setupCycles = [9];
capacity = [59,98,82,99,92,99,77,86,93,60,100,84];
openingProductInventory = [15];
openingComponentInventory = [44,24];
productHoldingCost = [22];
componentHoldingCost = [12,8];
setupCosts = [2200];
maxNumComponentOrders = [30,30];
componentBatchSize = [95,91];
deliveryCost = [2375,4277];

Agent: A5

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [93];
leadtime = [2];
cycles = [2];
setupCycles = [7];
capacity = [78,77,63,56,70,86,87,95,98,87,86,88];
openingProductInventory = [73];
openingComponentInventory = [24];
productHoldingCost = [20];
componentHoldingCost = [23];
setupCosts = [2000];
componentArrivals = [
[45],
[35],
[44],
[25],
[44],
[31],
[40],
[38],
[42],
[43],
[40],
[41]
];

Agent: A6

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [54];
leadtime = [1];
cycles = [2];
setupCycles = [7];
capacity = [89,69,52,50,81,97,68,85,74,71,55,58];
openingProductInventory = [40];
openingComponentInventory = [83];
productHoldingCost = [26];
componentHoldingCost = [24];
setupCosts = [2600];
componentArrivals = [
[29],
[28],
[36],
[47],
[43],
[44],
[48],
[29],
[36],
[33],
[44],
[42]
];

Agent: A7

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [95];
leadtime = [2];
cycles = [2];
setupCycles = [7];
capacity = [59,79,81,58,82,85,54,52,68,78,93,97];
openingProductInventory = [78];
openingComponentInventory = [80];
productHoldingCost = [12];
componentHoldingCost = [9];
setupCosts = [1200];
componentArrivals = [
[45],
[38],
[48],
[38],
[38],
[30],
[39],
[43],
[43],
[35],
[43],
[36]
];

Agent: A8

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [84];
leadtime = [0];
cycles = [1];
setupCycles = [5];
capacity = [52,88,78,69,63,97,95,93,76,57,55,53];
openingProductInventory = [56];
openingComponentInventory = [51];
productHoldingCost = [26];
componentHoldingCost = [23];
setupCosts = [2600];
componentArrivals = [
[73],
[53],
[96],
[71],
[69],
[73],
[87],
[67],
[87],
[85],
[100],
[77]
];

Agent: A9

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [100];
leadtime = [2];
cycles = [1];
setupCycles = [8];
capacity = [55,75,57,77,97,89,60,53,56,60,53,90];
openingProductInventory = [10];
openingComponentInventory = [26];
productHoldingCost = [23];
componentHoldingCost = [21];
setupCosts = [2300];
componentArrivals = [
[70],
[65],
[84],
[69],
[85],
[58],
[73],
[79],
[83],
[77],
[78],
[89]
];

Agent: A10

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [91];
leadtime = [1];
cycles = [1];
setupCycles = [7];
capacity = [59,76,97,74,85,72,84,88,62,95,94,65];
openingProductInventory = [57];
openingComponentInventory = [84];
productHoldingCost = [8];
componentHoldingCost = [8];
setupCosts = [800];
componentArrivals = [
[54],
[51],
[60],
[56],
[78],
[92],
[70],
[57],
[68],
[85],
[95],
[85]
];