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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

Products: 
A1=P0,P1
A2=P2
A3=P3
A4=P4

BOM:
P0=P2,P3
P1=P3,P4

Agent: A1

numPeriods = 12;
numProducts = 2;
numComponents = 3;
maxNumComponentOrders = [30,30,30];
bom = [
[1,1,0],
[0,1,1]
];
componentBatchSize = [90,100,100];
deliveryCost = [4050,3200,3000];
leadtime = [0,1];
cycles = [2,1];
setupCycles = [7,5];
capacity = [183,149,139,134,157,113,139,161,189,158,138,113];
demand = [
[41,34],
[55,36],
[10,30],
[64,40],
[44,70],
[54,64],
[24,22],
[21,50],
[47,54],
[49,24],
[50,18],
[53,45]
];
penaltyCost = [317,268];
openingProductInventory = [0,98];
openingComponentInventory = [71,80,128];
productHoldingCost = [33,22];
componentHoldingCost = [15,14,9];
setupCosts = [3300,2200];

Agent: A2

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [90];
leadtime = [1];
cycles = [1];
setupCycles = [7];
capacity = [68,60,66,74,67,66,67,64,65,57,63,60];
openingProductInventory = [81];
openingComponentInventory = [66];
productHoldingCost = [15];
componentHoldingCost = [17];
setupCosts = [1500];
componentArrivals = [
[63],
[69],
[54],
[59],
[55],
[59],
[51],
[52],
[69],
[62],
[65],
[70]
];

Agent: A3

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [100];
leadtime = [1];
cycles = [1];
setupCycles = [6];
capacity = [97,89,99,85,94,77,77,87,86,92,87,97];
openingProductInventory = [87];
openingComponentInventory = [69];
productHoldingCost = [14];
componentHoldingCost = [14];
setupCosts = [1400];
componentArrivals = [
[92],
[88],
[91],
[92],
[84],
[75],
[86],
[97],
[90],
[75],
[100],
[81]
];

Agent: A4

numPeriods = 12;
numProducts = 1;
numComponents = 1;
maxNumProductOrders = [30];
bom = [
[1]
];
productBatchSize = [100];
leadtime = [2];
cycles = [1];
setupCycles = [9];
capacity = [67,67,67,75,56,57,52,69,55,50,75,50];
openingProductInventory = [61];
openingComponentInventory = [54];
productHoldingCost = [9];
componentHoldingCost = [6];
setupCosts = [900];
componentArrivals = [
[68],
[74],
[61],
[53],
[63],
[51],
[50],
[73],
[70],
[52],
[55],
[52]
];