{"uid":"cap_238ArtVfpn4u6r35J-hwI","slug":"demand-variability-safety-stock-distribution-histogram-c205c094","name":"Demand-Variability Safety Stock Distribution Histogram","description":"Demand-variability safety stock - Distribution histogram: Distribution histogram for Demand-variability safety stock. Supplied retail figures only. Local calculation and scenario analysis; no live inventory, account access, platform fee lookup or order execution. One of 25 profiles or calculations across 20 shared operations in this sector. 0.01 USDC includes one bounded distribution histogram deliverable.","url":"https://market.datapackvibe.com/x402/assistant-sector-retail-safety-stock-histogram?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"bins":{"type":"integer","default":5,"maximum":30,"minimum":1},"rows":{"type":"array","items":{"type":"object","required":["service_z","daily_demand_stddev","lead_days"],"properties":{"lead_days":{"type":"number","default":10,"maximum":1000000000000,"minimum":0},"service_z":{"type":"number","default":1.65,"maximum":5,"minimum":0},"daily_demand_stddev":{"type":"number","default":4,"maximum":1000000000000,"minimum":0}},"additionalProperties":false},"default":[{"lead_days":10,"service_z":1.65,"daily_demand_stddev":4},{"lead_days":11,"service_z":1.815,"daily_demand_stddev":4.4},{"lead_days":10,"service_z":1.65,"daily_demand_stddev":4},{"lead_days":11,"service_z":1.815,"daily_demand_stddev":4.4}],"maxItems":200,"minItems":2}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_AzkQPr7sDGtFR778LR0rV","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes a distribution histogram of safety stock quantities across multiple retail SKU scenarios defined by demand variability, lead time, and service level inputs.","exampleAgentPrompt":"Generate a 5-bin distribution histogram for these 4 retail scenarios — scenario 1: daily demand stddev 4, lead time 10 days, z-score 1.65; scenario 2: daily demand stddev 4.4, lead time 11 days, z-score 1.815; scenario 3: same as scenario 1; scenario 4: same as scenario 2 — so I can see how safety stock values are spread.","exampleUseCases":[{"title":"Retail SKU safety stock spread analysis","prompt":"I have 6 retail products with daily demand standard deviations ranging from 2 to 8, lead times between 7 and 14 days, and service level z-scores of 1.65. Can you compute a 6-bin histogram showing how my safety stock requirements are distributed across these scenarios?"},{"title":"Service level scenario comparison","prompt":"Compare safety stock distributions for 4 scenarios where I vary the service level z-score from 1.28 to 1.96 — all with a daily demand stddev of 5 and 10-day lead time — and show me the result as a 4-bin histogram so I can see how service level changes shift the distribution."},{"title":"Lead time sensitivity histogram","prompt":"I want to understand how lead time variability affects safety stock across 5 retail scenarios — daily demand stddev is fixed at 3.5 and z-score at 1.65, but lead times are 5, 8, 10, 12, and 15 days. Show me a 5-bin distribution histogram of the resulting safety stock values."}],"resultDescription":"Returns a bounded distribution histogram object showing how computed safety stock values (derived from service_z × daily_demand_stddev × sqrt(lead_days)) are distributed across the specified number of bins, across all submitted retail scenarios. Includes bin boundaries and frequency counts for scenario analysis.","failureModes":["Fewer than 2 rows provided — minimum 2 scenario rows required","More than 200 rows submitted — exceeds maxItems limit","Bins value outside 1–30 range returns validation error","Negative or zero daily_demand_stddev or lead_days may produce degenerate distributions","Missing required fields (service_z, daily_demand_stddev, lead_days) causes schema validation failure","Payment failure or insufficient USDC balance blocks request execution"],"whenToPreferThis":"Choose this endpoint when you need a local, offline-style distribution histogram specifically for demand-variability safety stock calculations across multiple retail scenarios. It is ideal for scenario analysis and planning where you have retail demand standard deviation, lead time, and service level inputs and want to visualize the spread of resulting safety stock values. Prefer this over live inventory platforms when no real-time stock data, account access, or order execution is needed.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-23T02:01:13.214Z","isFirstParty":false,"canonicalSlug":"demand-variability-safety-stock-distribution-histogram-c205c094"}