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April 28, 2024 09:44
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Pathfinder Algorithm and Vehicle Routing Problem in Functional Javascript
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cityMap = { | |
a: {b: 20, d: 80, g: 90}, | |
b: {f: 10}, | |
c: {f: 50, h: 20, d: 10}, | |
d: {g: 20, c: 10}, | |
e: {b: 50, g: 30}, | |
f: {c: 10, d: 40}, | |
g: {a: 20}, | |
h: {h: 0} | |
} | |
largeMap = { | |
a: {b: 8, c: 3, f: 13}, | |
b: {d: 1, c: 2}, | |
c: {b: 3, d: 9, e: 2}, | |
d: {e: 4, h: 2, g: 6}, | |
e: {i: 4, f: 5, a: 5}, | |
f: {i: 7, g: 1}, | |
g: {h: 4}, | |
h: {i: 1}, | |
i: {g: 5} | |
} | |
pFinder = (graph, from, dest, path = {[from]: 1}) => | |
Object.keys(graph).filter(i => !path[i]).reduce( | |
(acc, next) => graph[from]?.[next] ? [...acc, ...pFinder( | |
graph, next, dest, {...path, [from]: graph[from][next]} | |
)] : [...acc, ...(!acc.length && from === dest ? [path] : [])], [] | |
) | |
between = (low, mid, high) => low < mid && mid < high | |
sum = arr => arr.reduce((a, b) => a + b) | |
sub = arr => arr.splice(1).reduce((a, b) => a - b, arr[0]) | |
shortestPath = (graph, from, dest) => | |
pFinder(graph, from, dest).sort((a, b) => sub([ | |
sum(Object.values(a)), sum(Object.values(b)) | |
]))[0] | |
longestPath = (graph, from, dest) => | |
pFinder(graph, from, dest).sort((a, b) => sub([ | |
sum(Object.values(b)), sum(Object.values(a)) | |
]))[0] | |
conditionPath = (graph, from, dest, cond) => | |
pFinder(graph, from, dest).filter(cond) | |
withAs = (obj, cb) => cb(obj) | |
uniqObj = arrObj => | |
[...new Set(arrObj.map(JSON.stringify) || {})] | |
.map(JSON.parse) | |
lastNode = paths => Object.keys( | |
paths.slice(-1)[0] || {} | |
).slice(-1)[0] | |
subset = (sub, set) => sub.length && set.length && | |
sub.reduce((a, b) => a && set.includes(b), true) | |
solveVRP = | |
(algo, graph, from, places, trace = places, paths = []) => | |
!trace.length || subset(places, Object.keys(paths.reduce( | |
(a, b) => ({...a, ...b}), {} | |
))) ? paths.map(JSON.stringify).join(';') : | |
trace.reduce((acc, dest) => [...acc, solveVRP( | |
algo, graph, lastNode(paths), places, | |
trace.filter(i => i !== dest), [...paths, withAs( | |
algo(graph, lastNode(paths) || from, dest), | |
short => short && ({...short, [dest]: 0}) | |
)] | |
)], []).flat(1) | |
pathVRP = result => uniqObj(result.map(i => i.split(';').flatMap( | |
j => withAs(JSON.parse(j), obj => Object.keys(obj)) | |
.map(k => [k, JSON.parse(j)[k]]) | |
).filter((j, jx, arr) => jx === arr.length - 1 ? j : j[1]))) | |
shortestVRP = (graph, from, destinations) => | |
pathVRP(solveVRP(shortestPath, graph, from, destinations)) | |
.sort((a, b) => sub([ | |
sum(a.map(i => i[1])), | |
sum(b.map(i => i[1])) | |
]))[0] | |
longestVRP = (graph, from, destinations) => | |
pathVRP(solveVRP(longestPath, graph, from, destinations)) | |
.sort((a, b) => sub([ | |
sum(b.map(i => i[1])), | |
sum(a.map(i => i[1])) | |
]))[0] | |
/* Functions call samples | |
pFinder(cityMap, 'g', 'h') | |
longestPath(cityMap, 'e', 'h') | |
shortestPath(cityMap, 'e', 'h') | |
conditionPath(cityMap, 'e', 'h', path => Object.keys(path).includes('d')) | |
conditionPath(cityMap, 'e', 'h', path => Object.keys(path).length <= 4) | |
conditionPath(cityMap, 'e', 'h', path => between(110, sum(Object.values(path)), 150)) | |
conditionPath(cityMap, 'e', 'h', path => Object.values(path).filter(i => i >= 80).length) | |
pathVRP(solveVRP(shortestPath, largeMap, 'a', ['g', 'h', 'i'])) | |
solveVRP(shortestPath, largeMap, 'a', ['g', 'h', 'i']) | |
shortestVRP(largeMap, 'a', ['g', 'h', 'i']) | |
longestVRP(largeMap, 'a', ['g', 'h', 'i']) | |
*/ |
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